Anderson L. A. de Araujo, S. Heidarkhani, G. Afrouzi, S. Moradi
We study the existence of at least one weak solution for p(x)-Kirchhoff-type problems of nonhomogeneous Neumann conditions. Our technical approach is based on variational methods. Some examples are presented to demonstrate the application of our main results.
{"title":"A variational approach for nonlocal problems with variable exponent and nonhomogeneous Neumann conditions","authors":"Anderson L. A. de Araujo, S. Heidarkhani, G. Afrouzi, S. Moradi","doi":"10.52846/ami.v48i1.1365","DOIUrl":"https://doi.org/10.52846/ami.v48i1.1365","url":null,"abstract":"We study the existence of at least one weak solution for p(x)-Kirchhoff-type problems of nonhomogeneous Neumann conditions. Our technical approach is based on variational methods. Some examples are presented to demonstrate the application of our main results.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"11 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76439590","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}
In this paper, we establish sufficient conditions for the existence of bounded solution for a class of boundary value problem for nonlinear fractional differential equations involving the Erdélyi-Kober differential operator on unbounded domain. Our results are based on a fixed point theorem of Schauder combined with the diagonalization argument method in a special Banach space. To that end, an example is presented to illustrate the usefulness of our main results.
{"title":"Boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative on unbounded domain","authors":"Maria Titraoui, Y. Arioua","doi":"10.52846/ami.v48i1.1316","DOIUrl":"https://doi.org/10.52846/ami.v48i1.1316","url":null,"abstract":"In this paper, we establish sufficient conditions for the existence of bounded solution for a class of boundary value problem for nonlinear fractional differential equations involving the Erdélyi-Kober differential operator on unbounded domain. Our results are based on a fixed point theorem of Schauder combined with the diagonalization argument method in a special Banach space. To that end, an example is presented to illustrate the usefulness of our main results.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"59 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73275075","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}
In this article we define matrix maps between complex uncertain sequences. We introduce the notion of bounded sequences of complex uncertain sequence for almost sure, mean, measure and distribution. We introduce the limitation method for different notion of boundedness of sequence of complex uncertain variables and establish relation between the different notions. The necessary condition for a matrix map to be a limitation method is established.
{"title":"Matrix map between complex uncertain sequences","authors":"S. Saha, B. Tripathy, Santanu Roy","doi":"10.52846/ami.v48i1.1254","DOIUrl":"https://doi.org/10.52846/ami.v48i1.1254","url":null,"abstract":"In this article we define matrix maps between complex uncertain sequences. We introduce the notion of bounded sequences of complex uncertain sequence for almost sure, mean, measure and distribution. We introduce the limitation method for different notion of boundedness of sequence of complex uncertain variables and establish relation between the different notions. The necessary condition for a matrix map to be a limitation method is established.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"26 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78203179","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}
In this paper we study the local adapted components of the N-linear connections on the dual 1-jet space J^{1∗}(R,M), together with its local adapted torsion and curvature d-tensors.
{"title":"On dual jet N-linear connections in the time-dependent Hamilton geometry","authors":"A. Oană, M. Neagu","doi":"10.52846/ami.v48i1.1392","DOIUrl":"https://doi.org/10.52846/ami.v48i1.1392","url":null,"abstract":"In this paper we study the local adapted components of the N-linear connections on the dual 1-jet space J^{1∗}(R,M), together with its local adapted torsion and curvature d-tensors.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"14 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87925462","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}
A wavelet with composite dilations is a function generating an orthonormal basis or a Parseval frame for $L^2(mathbb R^n)$ under the action of lattice translations and dilations by products of elements drawn from non-commuting matrix sets $A$ and $B$. Typically, the members of $B$ are matrices whose eigenvalues have magnitude one, while the members of $A$ are matrices expanding on a proper subspace of $mathbb R^n$. In this paper, we provide the characterization of composite wavelets based on results of affine and quasi affine frames. Furthermore all the composite wavelets associated with $AB$-MRA on $L^2(mathbb R^n)$ are also characterized.
{"title":"Characterization of wavelets associated with $AB$-MRA on $L^2(mathbb R^n)$","authors":"O. Ahmad, M. Y. Bhat, N. Sheikh","doi":"10.52846/ami.v48i1.1446","DOIUrl":"https://doi.org/10.52846/ami.v48i1.1446","url":null,"abstract":"A wavelet with composite dilations is a function generating an orthonormal basis or a Parseval frame for $L^2(mathbb R^n)$ under the action of lattice translations and dilations by products of elements drawn from non-commuting matrix sets $A$ and $B$. Typically, the members of $B$ are matrices whose eigenvalues have magnitude one, while the members of $A$ are matrices expanding on a proper subspace of $mathbb R^n$. In this paper, we provide the characterization of composite wavelets based on results of affine and quasi affine frames. Furthermore all the composite wavelets associated with $AB$-MRA on $L^2(mathbb R^n)$ are also characterized.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"22 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84427523","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}
In this paper, we give statistical Voronoi mean which is a new statistical summability method, is not need to be regular and positive. We prove a Korovkin type approximation theorem via this method that covers many important summability methods scattered in the literature. Also, we demonstrate that our theorem is stronger than proven by earlier authors with an interesting application. Finally, we establish the rate of convergence.
{"title":"Statistical Voronoi mean and applications to approximation theorems","authors":"K. Demirci, S. Yildiz, F. Dirik","doi":"10.52846/ami.v48i1.1416","DOIUrl":"https://doi.org/10.52846/ami.v48i1.1416","url":null,"abstract":"In this paper, we give statistical Voronoi mean which is a new statistical summability method, is not need to be regular and positive. We prove a Korovkin type approximation theorem via this method that covers many important summability methods scattered in the literature. Also, we demonstrate that our theorem is stronger than proven by earlier authors with an interesting application. Finally, we establish the rate of convergence.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"4 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79506717","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}
In this paper, we investigate the growth of solutions of higher order linear differential equations with analytic coefficients of ϕ-order in the unit disc. We introduce new definitions of the lower order and the type related to the ϕ-order concepts to generalise and extend previous results due to Chyzhykov-Semochko [6], Semochko [14], Belaïdi [1,2,3], Hu-Zheng [12].
{"title":"Fast growing solutions of linear differential equations with analytic coefficients in the unit disc","authors":"M. Kara, B. Belaïdi","doi":"10.52846/ami.v48i1.1330","DOIUrl":"https://doi.org/10.52846/ami.v48i1.1330","url":null,"abstract":"In this paper, we investigate the growth of solutions of higher order linear differential equations with analytic coefficients of ϕ-order in the unit disc. We introduce new definitions of the lower order and the type related to the ϕ-order concepts to generalise and extend previous results due to Chyzhykov-Semochko [6], Semochko [14], Belaïdi [1,2,3], Hu-Zheng [12].","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"112 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85874478","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}
"In this paper we prove that, if f:[0,∞)→R is operator monotone on [0,∞), then for all A, B such that 0<α≤A≤β<γ≤B≤δ for some positive constants α, β, γ, δ, 0≤(γ-β)((f(δ)-f(β))/(δ-β))≤f(B)-f(A)≤(δ-α)((f(γ)-f(α))/(γ-α)). In particular, we have the refinement and reverse of the celebrated Löwner-Heinz inequality 0<(γ-β)((δ^{r}-β^{r})/(δ-β))≤B^{r}-A^{r}≤(δ-α)((γ^{r}-α^{r})/(γ-α)) for all r∈(0,1]."
{"title":"New inequalities for operator monotone functions","authors":"S. Dragomir","doi":"10.52846/ami.v48i1.1410","DOIUrl":"https://doi.org/10.52846/ami.v48i1.1410","url":null,"abstract":"\"In this paper we prove that, if f:[0,∞)→R is operator monotone on [0,∞), then for all A, B such that 0<α≤A≤β<γ≤B≤δ for some positive constants α, β, γ, δ, 0≤(γ-β)((f(δ)-f(β))/(δ-β))≤f(B)-f(A)≤(δ-α)((f(γ)-f(α))/(γ-α)). In particular, we have the refinement and reverse of the celebrated Löwner-Heinz inequality 0<(γ-β)((δ^{r}-β^{r})/(δ-β))≤B^{r}-A^{r}≤(δ-α)((γ^{r}-α^{r})/(γ-α)) for all r∈(0,1].\"","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"36 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90999903","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}
Juan Gabriel Galeano Delgado, J. N. Nápoles Valdés, Edgardo Enrique Pérez Reyes
In this work, we obtain new inequalities of the Hermite-Hadamard type, using generalized fractional integrals. The results obtained contain, as particular cases, several of those reported in the literature.
{"title":"New Hermite-Hadamard inequalities in the framework of generalized fractional integrals","authors":"Juan Gabriel Galeano Delgado, J. N. Nápoles Valdés, Edgardo Enrique Pérez Reyes","doi":"10.52846/ami.v48i1.1454","DOIUrl":"https://doi.org/10.52846/ami.v48i1.1454","url":null,"abstract":"In this work, we obtain new inequalities of the Hermite-Hadamard type, using generalized fractional integrals. The results obtained contain, as particular cases, several of those reported in the literature.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"49 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76778887","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}
The aim of this paper is to study po-ternary semihypergroups in terms of the int-soft bi-hyperideals. We introduce the notion of int-soft bi-hyperideals in po-ternary semihypergroups and some properties of them are investigated. Characterizations of bi-hyperideals in terms of int-soft bi-hyperideals are obtained. We prove that every int-soft hyperideal is an int-soft bi-hyperideal but the converse is not true. Examples are provided to illustrate the results.
{"title":"Int-soft bi-hyperideals in ordered ternary semihypergroups","authors":"A. F. Talee, M. Y. Abbasi, K. Hila","doi":"10.52846/ami.v48i1.1373","DOIUrl":"https://doi.org/10.52846/ami.v48i1.1373","url":null,"abstract":"The aim of this paper is to study po-ternary semihypergroups in terms of the int-soft bi-hyperideals. We introduce the notion of int-soft bi-hyperideals in po-ternary semihypergroups and some properties of them are investigated. Characterizations of bi-hyperideals in terms of int-soft bi-hyperideals are obtained. We prove that every int-soft hyperideal is an int-soft bi-hyperideal but the converse is not true. Examples are provided to illustrate the results.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80744700","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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