Riesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid differential equations involving the Riesz-Caputo fractional derivative. For this motive, the results are obtained via classical results due to Dhage.
{"title":"Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative","authors":"Dehong Ji, Shiqiu Fu, Yitao Yang","doi":"10.1515/dema-2023-0125","DOIUrl":"https://doi.org/10.1515/dema-2023-0125","url":null,"abstract":"\u0000 Riesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid differential equations involving the Riesz-Caputo fractional derivative. For this motive, the results are obtained via classical results due to Dhage.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139638307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this short article, we prove the existence of projected solutions to a class of quasi-variational hemivariational inequalities with non-self-constrained mapping, which generalizes the results of Allevi et al. (Quasi-variational problems with non-self map on Banach spaces: Existence and applications, Nonlinear Anal. Real World Appl. 67 (2022), 103641, DOI: https://doi.org/10.1016/j.nonrwa.2022.103641.)
{"title":"Existence of projected solutions for quasi-variational hemivariational inequality","authors":"Fei Guan, Jinxia Cen, Boling Chen, Jen-Chih Yao","doi":"10.1515/dema-2023-0139","DOIUrl":"https://doi.org/10.1515/dema-2023-0139","url":null,"abstract":"\u0000 In this short article, we prove the existence of projected solutions to a class of quasi-variational hemivariational inequalities with non-self-constrained mapping, which generalizes the results of Allevi et al. (Quasi-variational problems with non-self map on Banach spaces: Existence and applications, Nonlinear Anal. Real World Appl. 67 (2022), 103641, DOI: https://doi.org/10.1016/j.nonrwa.2022.103641.)","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140519262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract In this article, we deal with the following p p -fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: M ( [ u ] s , A p ) ( − Δ ) p , A s u + V ( x ) ∣ u ∣ p − 2 u = λ ∫ R N ∣ u ∣ p μ , s * ∣ x − y ∣ μ d y ∣ u ∣ p μ , s * − 2 u + k ∣ u ∣ q − 2 u , x ∈ R N , M({left[u]}_{s,A}^{p}){left(-Delta )}_{p,A}^{s}u+Vleft(x){| u| }^{p-2}u=lambda left(mathop{int }limits_{{{mathbb{R}}}^{N}}frac{{| u| }^{{p}_{mu ,s}^{* }}}{{| x-y| }^{mu }}{rm{d}}yright){| u| }^{{p}_{mu ,s}^{* }-2}u+k{| u| }^{q-2}u,hspace{1em}xin {{mathbb{R}}}^{N}, where 0 < s < 1 < p 0lt slt 1lt p , p s < N pslt N , p < q < 2 p s , μ * plt qlt 2{p}_{s,mu }^{* } , 0 < μ < N 0lt mu lt N , λ lambda , and k k are some positive parameters, p s , μ * = p N − p μ 2 N − p s {p}_{s,mu }^{* }=frac{pN-pfrac{mu }{2}}{N-ps} is the critical exponent with respect to the Hardy-Littlewood-Sobolev inequality, and functions V V and M M satisfy the suitable conditions. By proving the compactness results using the fractional version of concentration compactness principle, we establish the existence of nontrivial solutions to this problem.
摘要 本文处理了以下带有电磁场和 Hardy-Littlewood-Sobolev 非线性的 p p 分薛定谔-基尔霍夫方程：M ( [ u ] s , A p ) ( - Δ ) p , A s u + V ( x ) ∣ u ∣ p - 2 u = λ ∫ R N ∣ u ∣ p μ 、s * ∣ x - y ∣ μ d y ∣ u ∣ p μ , s * - 2 u + k ∣ u ∣ q - 2 u , x∈ R N , M({left[u]}_{s,A}^{p}){left(-Delta )}_{p、A}^{s}u+Vleft(x){| u| }^{p-2}u=lambda left(mathop{int }limits_{{mathbb{R}}}^{N}}frac{{| u| }^{p}_{mu ,s}^{* }}{{x-y| }^{mu }}{rm{d}}yright){| u| }^{p}_{mu 、s}^{* }-2}u+k{| u| }^{q-2}u,hspace{1em}xin {{mathbb{R}}}^{N}, where 0 < s < 1 < p 0lt slt 1lt p , p s < N pslt N , p < q < 2 p s , μ * plt qlt 2{p}_{s,mu }^{* }.0 < μ < N 0lt mu lt N , λ lambda , 和 k k 是一些正参数，p s , μ * = p N - p μ 2 N - p s {p}_{s,mu }^{* }=frac{pN-pfrac{mu }{2}}{N-ps} 是关于哈代-利特尔伍德-索博列夫不等式的临界指数，函数 V V 和 M M 满足合适的条件。通过利用分数版的集中紧凑性原理证明紧凑性结果，我们确定了此问题的非小解的存在性。
{"title":"On the p-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity","authors":"Min Zhao, Yueqiang Song, D. D. Repovš","doi":"10.1515/dema-2023-0124","DOIUrl":"https://doi.org/10.1515/dema-2023-0124","url":null,"abstract":"Abstract In this article, we deal with the following p p -fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: M ( [ u ] s , A p ) ( − Δ ) p , A s u + V ( x ) ∣ u ∣ p − 2 u = λ ∫ R N ∣ u ∣ p μ , s * ∣ x − y ∣ μ d y ∣ u ∣ p μ , s * − 2 u + k ∣ u ∣ q − 2 u , x ∈ R N , M({left[u]}_{s,A}^{p}){left(-Delta )}_{p,A}^{s}u+Vleft(x){| u| }^{p-2}u=lambda left(mathop{int }limits_{{{mathbb{R}}}^{N}}frac{{| u| }^{{p}_{mu ,s}^{* }}}{{| x-y| }^{mu }}{rm{d}}yright){| u| }^{{p}_{mu ,s}^{* }-2}u+k{| u| }^{q-2}u,hspace{1em}xin {{mathbb{R}}}^{N}, where 0 < s < 1 < p 0lt slt 1lt p , p s < N pslt N , p < q < 2 p s , μ * plt qlt 2{p}_{s,mu }^{* } , 0 < μ < N 0lt mu lt N , λ lambda , and k k are some positive parameters, p s , μ * = p N − p μ 2 N − p s {p}_{s,mu }^{* }=frac{pN-pfrac{mu }{2}}{N-ps} is the critical exponent with respect to the Hardy-Littlewood-Sobolev inequality, and functions V V and M M satisfy the suitable conditions. By proving the compactness results using the fractional version of concentration compactness principle, we establish the existence of nontrivial solutions to this problem.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139458306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Binary relations (BIRs) have many applications in computer science, graph theory, and rough set theory. This study discusses the combination of BIRs, fuzzy substructures of quantale, and rough fuzzy sets. Approximation of fuzzy subsets of quantale with the help of BIRs is introduced. In quantale, compatible and complete relations in terms of aftersets and foresets with the help of BIRs are defined. Furthermore, we use compatible and complete relations to approximate fuzzy substructures of quantale, and these approximations are interpreted by aftersets and foresets. This concept generalizes the concept of rough fuzzy quantale. Finally, using BIRs, quantale homomorphism is used to build a relationship between the approximations of fuzzy substructures of quantale and the approximations of their homomorphic images.
{"title":"Binary relations applied to the fuzzy substructures of quantales under rough environment","authors":"Saqib Mazher Qurashi, Bander Almutairi, Qin Xin, Rani Sumaira Kanwal, Aqsa","doi":"10.1515/dema-2023-0109","DOIUrl":"https://doi.org/10.1515/dema-2023-0109","url":null,"abstract":"\u0000 Binary relations (BIRs) have many applications in computer science, graph theory, and rough set theory. This study discusses the combination of BIRs, fuzzy substructures of quantale, and rough fuzzy sets. Approximation of fuzzy subsets of quantale with the help of BIRs is introduced. In quantale, compatible and complete relations in terms of aftersets and foresets with the help of BIRs are defined. Furthermore, we use compatible and complete relations to approximate fuzzy substructures of quantale, and these approximations are interpreted by aftersets and foresets. This concept generalizes the concept of rough fuzzy quantale. Finally, using BIRs, quantale homomorphism is used to build a relationship between the approximations of fuzzy substructures of quantale and the approximations of their homomorphic images.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140522892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Liuping Wang, Ziyi Chen, Jinping Liu, Jin Zhang, A. Alkhateeb
Hail, an intense convective catastrophic weather, is seriously hazardous to people’s lives and properties. This article proposes a multi-step cyclone hail weather recognition model, called long short-term memory (LSTM)-C3D, based on radar images, integrating attention mechanism and network voting optimization characteristics to achieve intelligent recognition and accurate classification of hailstorm weather based on long short-term memory networks. Based on radar echo data in the strong-echo region, LSTM-C3D can selectively fuse the long short-term time feature information of hail meteorological images and effectively focus on the significant features to achieve intelligent recognition of hail disaster weather. The meteorological scans of 11 Doppler weather radars deployed in various regions of the Hunan Province of China are used as the specific experimental and application objects for extensive validation and comparison experiments. The results show that the proposed method can realize the automatic extraction of radar reflectivity image features, and the accuracy of hail identification in the strong-echo region reaches 91.3%. It can also effectively realize the prediction of convective storm movement trends, laying the theoretical foundation for reducing the misjudgment of extreme disaster weather.
{"title":"Toward automated hail disaster weather recognition based on spatio-temporal sequence of radar images","authors":"Liuping Wang, Ziyi Chen, Jinping Liu, Jin Zhang, A. Alkhateeb","doi":"10.1515/dema-2023-0262","DOIUrl":"https://doi.org/10.1515/dema-2023-0262","url":null,"abstract":"\u0000 Hail, an intense convective catastrophic weather, is seriously hazardous to people’s lives and properties. This article proposes a multi-step cyclone hail weather recognition model, called long short-term memory (LSTM)-C3D, based on radar images, integrating attention mechanism and network voting optimization characteristics to achieve intelligent recognition and accurate classification of hailstorm weather based on long short-term memory networks. Based on radar echo data in the strong-echo region, LSTM-C3D can selectively fuse the long short-term time feature information of hail meteorological images and effectively focus on the significant features to achieve intelligent recognition of hail disaster weather. The meteorological scans of 11 Doppler weather radars deployed in various regions of the Hunan Province of China are used as the specific experimental and application objects for extensive validation and comparison experiments. The results show that the proposed method can realize the automatic extraction of radar reflectivity image features, and the accuracy of hail identification in the strong-echo region reaches 91.3%. It can also effectively realize the prediction of convective storm movement trends, laying the theoretical foundation for reducing the misjudgment of extreme disaster weather.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139638963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized h h -preinvex functions is obtained. Subsequently, an integral identity related to these two local fractional integral operators is constructed to obtain some new Ostrowski-type local fractional integral inequalities for generalized h h -preinvex functions. Finally, we propose three examples to illustrate the partial results and applications. Meanwhile, we also propose two midpoint-type inequalities involving generalized moments of continuous random variables to show the application of the results.
本研究基于两个涉及广义 Mittag-Leffler 核的新局部分数积分算子，得到了关于广义 h h - 前凸函数的这两个积分算子的 Hermite-Hadamard 不等式。随后，构建了与这两个局部分数积分算子相关的积分标识，从而得到了广义 h h -preinvex 函数的一些新的 Ostrowski 型局部分数积分不等式。最后，我们提出了三个例子来说明部分结果和应用。同时，我们还提出了两个涉及连续随机变量广义矩的中点式不等式，以说明结果的应用。
{"title":"New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions","authors":"Wenbing Sun, Haiyang Wan","doi":"10.1515/dema-2023-0128","DOIUrl":"https://doi.org/10.1515/dema-2023-0128","url":null,"abstract":"\u0000 In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized \u0000 \u0000 \u0000 \u0000 h\u0000 \u0000 h\u0000 \u0000 -preinvex functions is obtained. Subsequently, an integral identity related to these two local fractional integral operators is constructed to obtain some new Ostrowski-type local fractional integral inequalities for generalized \u0000 \u0000 \u0000 \u0000 h\u0000 \u0000 h\u0000 \u0000 -preinvex functions. Finally, we propose three examples to illustrate the partial results and applications. Meanwhile, we also propose two midpoint-type inequalities involving generalized moments of continuous random variables to show the application of the results.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140524256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Matlhatsi Dorah Ngwepe, L. Jolaoso, M. Aphane, U. Adiele
In this article, we study the split variational inclusion and fixed point problems using Bregman weak relatively nonexpansive mappings in the p p -uniformly convex smooth Banach spaces. We introduce an inertial shrinking projection self-adaptive iterative scheme for the problem and prove a strong convergence theorem for the sequences generated by our iterative scheme under some mild conditions in real p p -uniformly convex smooth Banach spaces. The algorithm is designed to select its step size self-adaptively and does not require the prior estimate of the norm of the bounded linear operator. Finally, we provide some numerical examples to illustrate the performance of our proposed scheme and compare it with other methods in the literature.
本文研究了在 p p -均匀凸光滑巴拿赫空间中使用布雷格曼弱相对非展开映射的分裂变分包容和定点问题。我们为该问题引入了一种惯性收缩投影自适应迭代方案，并在实 p p - 均匀凸光滑巴拿赫空间中的一些温和条件下，证明了我们的迭代方案所生成序列的强收敛定理。该算法可以自适应地选择步长，并且不需要对有界线性算子的规范进行先验估计。最后，我们提供了一些数值示例来说明我们提出的方案的性能，并将其与文献中的其他方法进行比较。
{"title":"An inertial shrinking projection self-adaptive algorithm for solving split variational inclusion problems and fixed point problems in Banach spaces","authors":"Matlhatsi Dorah Ngwepe, L. Jolaoso, M. Aphane, U. Adiele","doi":"10.1515/dema-2023-0127","DOIUrl":"https://doi.org/10.1515/dema-2023-0127","url":null,"abstract":"\u0000 In this article, we study the split variational inclusion and fixed point problems using Bregman weak relatively nonexpansive mappings in the \u0000 \u0000 \u0000 \u0000 p\u0000 \u0000 p\u0000 \u0000 -uniformly convex smooth Banach spaces. We introduce an inertial shrinking projection self-adaptive iterative scheme for the problem and prove a strong convergence theorem for the sequences generated by our iterative scheme under some mild conditions in real \u0000 \u0000 \u0000 \u0000 p\u0000 \u0000 p\u0000 \u0000 -uniformly convex smooth Banach spaces. The algorithm is designed to select its step size self-adaptively and does not require the prior estimate of the norm of the bounded linear operator. Finally, we provide some numerical examples to illustrate the performance of our proposed scheme and compare it with other methods in the literature.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140516528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The present article deals with new fixed point theorems by means of G G -strongly contractive maps. The research findings are demonstrated in a spherically complete ultrametric space with a graph for single-valued mappings. The special cases of the results that extend the current ones are offered, along with some examples that illustrate our results. Besides, an application utilized in dynamic programming that endorses the acquired observations is also provided.
本文通过 G G 强收缩映射论述了新的定点定理。研究成果在球面完全超对称空间的单值映射图中得到了证明。我们提供了扩展现有结果的特例，并列举了一些例子来说明我们的结果。此外，我们还提供了一个在动态编程中的应用，该应用认可了所获得的观察结果。
{"title":"Some fixed point results on ultrametric spaces endowed with a graph","authors":"Özlem Acar, A. S. Özkapu, M. Öztürk","doi":"10.1515/dema-2023-0132","DOIUrl":"https://doi.org/10.1515/dema-2023-0132","url":null,"abstract":"\u0000 The present article deals with new fixed point theorems by means of \u0000 \u0000 \u0000 \u0000 G\u0000 \u0000 G\u0000 \u0000 -strongly contractive maps. The research findings are demonstrated in a spherically complete ultrametric space with a graph for single-valued mappings. The special cases of the results that extend the current ones are offered, along with some examples that illustrate our results. Besides, an application utilized in dynamic programming that endorses the acquired observations is also provided.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140526451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this article, we analyze a rate of attraction of poles of an approximated function to poles of incomplete multipoint Padé approximants and use it to derive a sharp bound on the geometric rate of convergence of multipoint Hermite-Padé approximants to a vector of approximated functions in the Montessus de Ballore theorem when a table of interpolation points is Newtonian.
{"title":"On exact rate of convergence of row sequences of multipoint Hermite-Padé approximants","authors":"N. Bosuwan","doi":"10.1515/dema-2023-0140","DOIUrl":"https://doi.org/10.1515/dema-2023-0140","url":null,"abstract":"\u0000 In this article, we analyze a rate of attraction of poles of an approximated function to poles of incomplete multipoint Padé approximants and use it to derive a sharp bound on the geometric rate of convergence of multipoint Hermite-Padé approximants to a vector of approximated functions in the Montessus de Ballore theorem when a table of interpolation points is Newtonian.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140522452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yuankui Ma, Lingling Luo, Taekyun Kim, Hongze Li, Wenpeng Zhang
Abstract Dedekind sums and their generalizations are defined in terms of Bernoulli functions and their generalizations. As a new generalization of the Dedekind sums, the degenerate poly-Dedekind sums, which are obtained from the Dedekind sums by replacing Bernoulli functions by degenerate poly-Bernoulli functions of arbitrary indices are introduced in this article and are shown to satisfy a reciprocity relation.
{"title":"A study on a type of degenerate poly-Dedekind sums","authors":"Yuankui Ma, Lingling Luo, Taekyun Kim, Hongze Li, Wenpeng Zhang","doi":"10.1515/dema-2023-0121","DOIUrl":"https://doi.org/10.1515/dema-2023-0121","url":null,"abstract":"Abstract Dedekind sums and their generalizations are defined in terms of Bernoulli functions and their generalizations. As a new generalization of the Dedekind sums, the degenerate poly-Dedekind sums, which are obtained from the Dedekind sums by replacing Bernoulli functions by degenerate poly-Bernoulli functions of arbitrary indices are introduced in this article and are shown to satisfy a reciprocity relation.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139456872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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