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On the novel Hermite-Hadamard inequalities for composite inverse functions 复合反函数的新Hermite-Hadamard不等式
4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2309995s
Muhammad Samraiz, Fakhra Nawaz, Shanhe Wu, Sajid Iqbal, Artion Kashuri
{"title":"On the novel Hermite-Hadamard inequalities for composite inverse functions","authors":"Muhammad Samraiz, Fakhra Nawaz, Shanhe Wu, Sajid Iqbal, Artion Kashuri","doi":"10.2298/fil2309995s","DOIUrl":"https://doi.org/10.2298/fil2309995s","url":null,"abstract":"The goal of this research is to discover some identities in the general form of the sum of left and right-sided weighted fractional integrals of a function concerning to another function. Using composite convex functions, several fractional Hermite-Hadamard inequalities are derived. The veracity of the inequalities established is demonstrated by drawing graphs of such relationships. Furthermore, our findings generalize a number of previously published outcomes. These findings will aid in the study of fractional differential equations and fractional boundary value problems with unique solutions.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"120 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135600652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New efficient and accurate bounds for zeros of a polynomial based on similarity of companion complex matrices 基于伴复矩阵相似度的多项式零点新有效精确界
4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2309961b
Aliaa Burqan, Ahmad Alsawaftah, Zeyad Al-Zhour
{"title":"New efficient and accurate bounds for zeros of a polynomial based on similarity of companion complex matrices","authors":"Aliaa Burqan, Ahmad Alsawaftah, Zeyad Al-Zhour","doi":"10.2298/fil2309961b","DOIUrl":"https://doi.org/10.2298/fil2309961b","url":null,"abstract":"In this paper, we present new bounds for the zeros of polynomials with numerical and matrix coefficients and show that these bounds are effective and more accurate for polynomials that have small differences between their coefficients. To get our main results, we apply the similarity of matrices and matrix inequalities including the numerical radius and matrix norms. Finally, some illustrated examples are given and discussed.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"273 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135600654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Existence of solutions for a class of boundary value problems involving Riemann Liouville derivative with respect to a function 一类关于函数的黎曼-刘维尔导数边值问题解的存在性
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2304261n
A. Nouf, W. Shammakh, A. Ghanmi
{"title":"Existence of solutions for a class of boundary value problems involving Riemann Liouville derivative with respect to a function","authors":"A. Nouf, W. Shammakh, A. Ghanmi","doi":"10.2298/fil2304261n","DOIUrl":"https://doi.org/10.2298/fil2304261n","url":null,"abstract":"In this article, we study some class of fractional boundary value problem involving generalized Riemann Liouville derivative with respect to a function and the p-Laplace operator. Precisely, using variational methods combined with the mountain pass theorem, we prove that such problem has a nontrivial weak solution. Our main result significantly complement and improves some previous papers in the literature.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68269103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Refined Berezin number inequalities via superquadratic and convex functions 利用超二次函数和凸函数改进了Berezin数不等式
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2301265c
Fengsheng Chien, M. Bakherad, M. Alomari
{"title":"Refined Berezin number inequalities via superquadratic and convex functions","authors":"Fengsheng Chien, M. Bakherad, M. Alomari","doi":"10.2298/fil2301265c","DOIUrl":"https://doi.org/10.2298/fil2301265c","url":null,"abstract":"In this paper, we generalize and refine some Berezin number inequalities for Hilbert space operators. Namely, we refine the Hermite-Hadamard inequality and some other recent results by using the concept of superquadraticity and convexity. Then we extend these inequalities for the Berezin number. Among other inequalities, it is shown that if S, T ? L(H(?)) such that ber(T) ? ber(|S|) and f is a nonnegative superquadratic function, then f (ber (T)) ? ber(f (|S|)) ? ?ber (f (||S| ? ber (T)|)).","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68266441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A study on q-analogue of Catalan sequence spaces Catalan序列空间q-类似的研究
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2303839y
Taja Yaying, Merve Kara, B. Hazarika, E. Kara
{"title":"A study on q-analogue of Catalan sequence spaces","authors":"Taja Yaying, Merve Kara, B. Hazarika, E. Kara","doi":"10.2298/fil2303839y","DOIUrl":"https://doi.org/10.2298/fil2303839y","url":null,"abstract":"In this study, we construct q-analog C(q) of Catalan matrix and study the sequence spaces c0(C(q)) and c(C(q)) defined as the domain of q-Catalan matrix C(q) in the spaces c0 and c, respectively. We exhibit some topological properties, obtain Schauder bases and determine ?-, ?-, and ?-duals of the spaces c0(C(q)) and c(C(q)). Finally, we characterize certain class of matrix mappings from the spaces c0(C(q)) and c(C(q)) to the space ? = {??, c0, c, ?1} and give the necessary and sufficient conditions for a matrix operator to be compact.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68267984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Approximation properties of Bernstein-Stancu operators preserving e−2x 保持e−2x的bernstein - standu算子的近似性质
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2305523u
F. Usta, M. Mursaleen, İbrahim Çakır
{"title":"Approximation properties of Bernstein-Stancu operators preserving e−2x","authors":"F. Usta, M. Mursaleen, İbrahim Çakır","doi":"10.2298/fil2305523u","DOIUrl":"https://doi.org/10.2298/fil2305523u","url":null,"abstract":"Bernstein-Stancu operators are one of the most powerful tool that can be used in approximation theory. In this manuscript, we propose a new construction of Bernstein-Stancu operators which preserve the constant and e?2x, x > 0. In this direction, the approximation properties of this newly defined operators have been examined in the sense of different function spaces. In addition to these, we present the Voronovskaya type theorem for this operators. At the end, we provide two computational examples to demonstrate that the new operator is an approximation procedure.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68269903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fredholm linear relation and some results of demicompact for multivalued matrix linear operator 多值矩阵线性算子的Fredholm线性关系及半紧性的一些结果
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2305507a
A. Ammar, A. Jeribi, B. Saadaoui
{"title":"Fredholm linear relation and some results of demicompact for multivalued matrix linear operator","authors":"A. Ammar, A. Jeribi, B. Saadaoui","doi":"10.2298/fil2305507a","DOIUrl":"https://doi.org/10.2298/fil2305507a","url":null,"abstract":"The main purpose of this article is to give a relationship between Fredholm multivalued linear operators and the demicompact linear relation; we provide some sufficient conditions on the inputs of a closable block multivalued linear operator matrix to ensure the generalized demicompactness of its closure. Our results generalize many known ones in the literature.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"29 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68270148","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Seminorm optimal dual frames for erasures 半规范化最优双帧擦除
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2307051k
Z. Keyshams
{"title":"Seminorm optimal dual frames for erasures","authors":"Z. Keyshams","doi":"10.2298/fil2307051k","DOIUrl":"https://doi.org/10.2298/fil2307051k","url":null,"abstract":"The main purpose of this paper is to find other measurements for constructing optimal duals that minimize the reconstruction errors, when erasures occur. Some known results are investigated with some other measurements. Moreover, we investigate extreme points of the set of all optimal duals for 1-erasure by the seminorms. Furthermore, some examples are provided for clarification.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new combinatorial identity for Bernoulli numbers and its application in Ramanujan’s expansion of harmonic numbers 伯努利数的一个新的组合恒等式及其在拉马努金调和数展开中的应用
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2306733x
Conglei Xu, Dechao Li
{"title":"A new combinatorial identity for Bernoulli numbers and its application in Ramanujan’s expansion of harmonic numbers","authors":"Conglei Xu, Dechao Li","doi":"10.2298/fil2306733x","DOIUrl":"https://doi.org/10.2298/fil2306733x","url":null,"abstract":"We establish a new combinatorial identity related to the well-known Bernoulli numbers, which generalizes the result due to Feng and Wang. By means of the identity, we find a recursive formula for successively determining the coefficients of Ramanujan?s asymptotic expansion for the generalized harmonic numbers","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"39 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Minimal 3-triangulations of p-toroids p-环面最小三三角剖分
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2301115s
M. Stojanovic
{"title":"Minimal 3-triangulations of p-toroids","authors":"M. Stojanovic","doi":"10.2298/fil2301115s","DOIUrl":"https://doi.org/10.2298/fil2301115s","url":null,"abstract":"It is known that we can always 3-triangulate (i.e. divide into tetrahedra with the original vertices) convex polyhedra but not always non-convex ones. Polyhedra topologically equivalent to ball with p handles, shortly p-toroids, cannot be convex. So, it is interesting to investigate possibilities and properties of their 3-triangulations. Here we study the minimal number of necessary tetrahedra for the triangulation of a 3-triangulable p-toroid. For that purpose, we developed the concept of piecewise convex polyhedron and that of its connection graph.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"10 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68266471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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