Pub Date : 2022-06-01DOI: 10.46793/kgjmat2203.395m
A. Motamednezhad, S. Salehian, N. Magesh
In the present paper, a general subclass Mh,p Σm (λ, γ) of the m-Fold symmetric bi-univalent functions is deĄned. Also, the estimates of the TaylorMaclaurin coefficients |am+1|, |a2m+1| and Fekete-Szegö problems are obtained for functions in this new subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.
{"title":"Coefficient Estimates for Subclass of m-Fold Symmetric Bi- Univalent Functions","authors":"A. Motamednezhad, S. Salehian, N. Magesh","doi":"10.46793/kgjmat2203.395m","DOIUrl":"https://doi.org/10.46793/kgjmat2203.395m","url":null,"abstract":"In the present paper, a general subclass Mh,p Σm (λ, γ) of the m-Fold symmetric bi-univalent functions is deĄned. Also, the estimates of the TaylorMaclaurin coefficients |am+1|, |a2m+1| and Fekete-Szegö problems are obtained for functions in this new subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47117025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-01DOI: 10.46793/kgjmat2203.477s
S. Sadigova, A. Guliyeva
The weighted Lebesgue and Hardy spaces with a general weight are considered. Basicity of a part of exponential system is proved in Hardy classes, where the weight satisfies the Muckenhoupt condition. Using these results the basicity of the perturbed system of exponents in the weighted Lebesgue space is studied. Some special cases are considered.
{"title":"Bases of the Perturbed System of Exponents in Weighted Lebesgue Space with a General Weight","authors":"S. Sadigova, A. Guliyeva","doi":"10.46793/kgjmat2203.477s","DOIUrl":"https://doi.org/10.46793/kgjmat2203.477s","url":null,"abstract":"The weighted Lebesgue and Hardy spaces with a general weight are considered. Basicity of a part of exponential system is proved in Hardy classes, where the weight satisfies the Muckenhoupt condition. Using these results the basicity of the perturbed system of exponents in the weighted Lebesgue space is studied. Some special cases are considered.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48451322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-01DOI: 10.46793/kgjmat2203.471b
M. A. Bahmani, F. Ghomanjani
In this paper, we investigate the problem of describing the form of Lie centralizers on quaternion rings. We provide some conditions under which a Lie centralizer on a quaternion ring is the sum of a centralizer and a center valued map.
{"title":"On the Lie Centralizers of Quaternion Rings","authors":"M. A. Bahmani, F. Ghomanjani","doi":"10.46793/kgjmat2203.471b","DOIUrl":"https://doi.org/10.46793/kgjmat2203.471b","url":null,"abstract":"In this paper, we investigate the problem of describing the form of Lie centralizers on quaternion rings. We provide some conditions under which a Lie centralizer on a quaternion ring is the sum of a centralizer and a center valued map.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43089974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-01DOI: 10.46793/kgjmat2203.341m
F. Martínez, P. Mohammed, J. N. Nápoles Valdés
In this paper we present an extension of Fractional Laplace Transform in the framework of the non-conformable local fractional derivative. Its main properties are studied and it is applied to the resolution of fractional differential equations.
{"title":"Non-Conformable Fractional Laplace Transform","authors":"F. Martínez, P. Mohammed, J. N. Nápoles Valdés","doi":"10.46793/kgjmat2203.341m","DOIUrl":"https://doi.org/10.46793/kgjmat2203.341m","url":null,"abstract":"In this paper we present an extension of Fractional Laplace Transform in the framework of the non-conformable local fractional derivative. Its main properties are studied and it is applied to the resolution of fractional differential equations.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46985172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-01DOI: 10.46793/kgjmat2203.355d
S. Dutta, Rima Ghosh
In this paper, following the concept of AI-statistical convergence for real sequences introduced by Savas et al. [22], we deal with Korovkin type approximation theory for a sequence of positive convolution operators defined on C[a, b], the space of all real valued continuous functions on [a, b], in the line of Duman [6]. In the Section 3, we study the rate of AI-statistical convergence.
{"title":"AJ-Statistical Approximation of Continuous Functions by Sequence of Convolution Operators","authors":"S. Dutta, Rima Ghosh","doi":"10.46793/kgjmat2203.355d","DOIUrl":"https://doi.org/10.46793/kgjmat2203.355d","url":null,"abstract":"In this paper, following the concept of AI-statistical convergence for real sequences introduced by Savas et al. [22], we deal with Korovkin type approximation theory for a sequence of positive convolution operators defined on C[a, b], the space of all real valued continuous functions on [a, b], in the line of Duman [6]. In the Section 3, we study the rate of AI-statistical convergence.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41398932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-01DOI: 10.46793/kgjmat2203.417d
K. Das, Samane Bakaein, M. Tavakoli, F. Rahbarnia, A. Ashrafi
The list coloring of a graph G = G(V, E) is to color each vertex v ∈ V (G) from its color set L(v). If any two adjacent vertices have different colors, then G is properly colored. The aim of this paper is to study the list coloring of some graph operations
{"title":"List Coloring Under Some Graph Operations","authors":"K. Das, Samane Bakaein, M. Tavakoli, F. Rahbarnia, A. Ashrafi","doi":"10.46793/kgjmat2203.417d","DOIUrl":"https://doi.org/10.46793/kgjmat2203.417d","url":null,"abstract":"The list coloring of a graph G = G(V, E) is to color each vertex v ∈ V (G) from its color set L(v). If any two adjacent vertices have different colors, then G is properly colored. The aim of this paper is to study the list coloring of some graph operations","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44370382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.46793/kgjmat2201.105c
Roberto Cruz, J. Rada
We Ąnd the extremal graphs for the exponential of well known vertexdegree-based topological indices over Gn, the set of graphs with n non-isolated vertices.
我们Ąnd给出了Gn上已知的基于顶点度的拓扑指数的极值图，Gn是具有n个非孤立顶点的图集。
{"title":"Extremal Graphs for Exponential VDB Indices","authors":"Roberto Cruz, J. Rada","doi":"10.46793/kgjmat2201.105c","DOIUrl":"https://doi.org/10.46793/kgjmat2201.105c","url":null,"abstract":"We Ąnd the extremal graphs for the exponential of well known vertexdegree-based topological indices over Gn, the set of graphs with n non-isolated vertices.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45997606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.46793/kgjmat2201.125r
A. Rezaei
The aim of this paper is to derive pseudo-BCK algebras from directoids and vice versa. We generalize some results proved by Ivan Chajda et al. in the case of BCK-algebras. We assign to an arbitrary pseudo-BCK algebra a semilattice-like structure and observe that this is the point where directoids are different from the semilattice-like structures. Finally, the relation between commutative deductive systems and derive directoids from a bounded pseudo-BCK(pDN) algebras and a characterization of commutative deductive systems of a bounded pseudo-BCK(pDN) algebra in terms of directoids is discussed.
{"title":"Pseudo-BCK Algebras Derived from Directoids","authors":"A. Rezaei","doi":"10.46793/kgjmat2201.125r","DOIUrl":"https://doi.org/10.46793/kgjmat2201.125r","url":null,"abstract":"The aim of this paper is to derive pseudo-BCK algebras from directoids and vice versa. We generalize some results proved by Ivan Chajda et al. in the case of BCK-algebras. We assign to an arbitrary pseudo-BCK algebra a semilattice-like structure and observe that this is the point where directoids are different from the semilattice-like structures. Finally, the relation between commutative deductive systems and derive directoids from a bounded pseudo-BCK(pDN) algebras and a characterization of commutative deductive systems of a bounded pseudo-BCK(pDN) algebra in terms of directoids is discussed.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49284958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.46793/kgjmat2201.085z
A. Zada, M. Yar
In this paper we study existence, uniqueness and Hyers-Ulam stability for a sequential coupled system consisting of fractional differential equations of Hadamard type, subject to nonlocal Hadamard fractional integral boundary conditions. The existence of solutions is derived from Leray-Schauder’s alternative, whereas the uniqueness of solution is established by Banach contraction principle. An example is also presented which illustrate our results.
{"title":"EXISTENCE AND STABILITY ANALYSIS OF SEQUENTIAL COUPLED SYSTEM OF HADAMARD-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS","authors":"A. Zada, M. Yar","doi":"10.46793/kgjmat2201.085z","DOIUrl":"https://doi.org/10.46793/kgjmat2201.085z","url":null,"abstract":"In this paper we study existence, uniqueness and Hyers-Ulam stability for a sequential coupled system consisting of fractional differential equations of Hadamard type, subject to nonlocal Hadamard fractional integral boundary conditions. The existence of solutions is derived from Leray-Schauder’s alternative, whereas the uniqueness of solution is established by Banach contraction principle. An example is also presented which illustrate our results.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48412766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.46793/kgjmat2201.029e
Manijeh Bahreini Esfahani
In this paper, we introduce a new property of Banach spaces called wMB-property of order p (1 ≤ p < ∞). A necessary and sufficient condition for a Banach space to have the wMB-property of order p is given. We study p-convergent operators and weakly-p-L-sets. Banach spaces with the wMB-property of order p are characterized. Also, the Dunford-Pettis property of order p and DP∗ -property of order p are studied in Banach spaces. Finally we show the relation between Pelczynski’s property (V ) and wMB-property of order p
{"title":"wMB-PROPERTY OF ORDER p IN BANACH SPACES","authors":"Manijeh Bahreini Esfahani","doi":"10.46793/kgjmat2201.029e","DOIUrl":"https://doi.org/10.46793/kgjmat2201.029e","url":null,"abstract":"In this paper, we introduce a new property of Banach spaces called wMB-property of order p (1 ≤ p < ∞). A necessary and sufficient condition for a Banach space to have the wMB-property of order p is given. We study p-convergent operators and weakly-p-L-sets. Banach spaces with the wMB-property of order p are characterized. Also, the Dunford-Pettis property of order p and DP∗ -property of order p are studied in Banach spaces. Finally we show the relation between Pelczynski’s property (V ) and wMB-property of order p","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47317627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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