Numerical Functional Analysis and Optimization最新文献_第4页

Mean Inequalities for the Numerical Radius 数值半径的平均不等式

4区数学

Numerical Functional Analysis and Optimization Pub Date : 2023-10-13 DOI: 10.1080/01630563.2023.2265649

Fuad Kittaneh, Hamid Reza Moradi, Mohammad Sababheh

引用次数: 0

Multivariate Zipper Fractal Functions 多元拉链分形函数

4区数学

Numerical Functional Analysis and Optimization Pub Date : 2023-10-12 DOI: 10.1080/01630563.2023.2265722

D. Kumar, A. K. B. Chand, P. R. Massopust

{"title":"Multivariate Zipper Fractal Functions","authors":"D. Kumar, A. K. B. Chand, P. R. Massopust","doi":"10.1080/01630563.2023.2265722","DOIUrl":"https://doi.org/10.1080/01630563.2023.2265722","url":null,"abstract":"AbstractA novel approach to zipper fractal interpolation theory for functions of several variables is presented. Multivariate zipper fractal functions are constructed and then perturbed through free choices of base functions, scaling functions, and a binary matrix called signature to obtain their zipper α-fractal versions. In particular, we propose a multivariate Bernstein zipper fractal function and study its coordinate-wise monotonicity which depends on the values of signature. We derive bounds for the graph of a multivariate zipper fractal function by imposing conditions on the scaling factors and the Hölder exponent of the associated germ function and base function. The box dimension result for multivariate Bernstein zipper fractal function is derived. Finally, we study some constrained approximation properties for multivariate zipper Bernstein fractal functions.KEYWORDS: Box dimensionfractal interpolation functionmonotonicitymultivariate Bernstein operatorpositivityzipperMATHEMATICS SUBJECT CLASSIFICATION: 28A8041A6341A0541A2941A3065D05 AcknowledgmentThe authors are thankful to the annonymous reviewers for their constructive suggestions to improve the presentation of the paper.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135969932","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

An approach to preserve functions with exponential growth by using modified Lupaş-Kantrovich operators 利用修正lupa<e:1> - kantrovich算子保持指数增长函数的方法

4区数学

Numerical Functional Analysis and Optimization Pub Date : 2023-10-10 DOI: 10.1080/01630563.2023.2263977

Neha Kajla, Naokant Deo

引用次数: 0

An Analysis on the Existence of Mild Solution and Optimal Control for Semilinear Thermoelastic System 半线性热弹性系统温和解的存在性及最优控制分析

4区数学

Numerical Functional Analysis and Optimization Pub Date : 2023-10-09 DOI: 10.1080/01630563.2023.2266004

Rohit Patel, V. Vijayakumar, Shimpi Singh Jadon, Anurag Shukla

引用次数: 0

Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces 高阶差分算子及相关的相对再现核希尔伯特空间

4区数学

Numerical Functional Analysis and Optimization Pub Date : 2023-10-06 DOI: 10.1080/01630563.2023.2262819

Palle E. T. Jorgensen, James F. Tian

{"title":"Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces","authors":"Palle E. T. Jorgensen, James F. Tian","doi":"10.1080/01630563.2023.2262819","DOIUrl":"https://doi.org/10.1080/01630563.2023.2262819","url":null,"abstract":"AbstractWe study multiple notions of Hilbert spaces of functions which, via the respective inner products, reproduce function values, or differences of function values. We do this by extending results from the more familiar settings of reproducing kernel Hilbert spaces, RKHSs. Our main results deal with operations on infinite graphs G=(V,E) of vertices and edges, and associated Hilbert spaces. For electrical network models, the differences f(x)−f(y) represent voltage differences for pairs of vertices x, y. In these cases, relative RKHSs will depend on choices of conductance functions c, where an appropriate function c is specified as a positive function defined on the edge-set E from G. Our present study of higher order differences, using choices of relative RKHSs, is motivated in part by existing numerical algorithms for discretization of PDEs. Our approach to higher order differences uses both combinatorial operations on graphs, and operator theory for the respective RKHSs. Starting with a graph G=(V,E), we introduce an induced graph G′ such that the vertices in G′ are the edges in E from G, while the edges in G′ are pairs of neighboring edges from G.KEYWORDS: Conduction functionsdrop operatorgraph Laplacianhigher order differencesinduced graphsisometriesnetwork modelsrelative reproducingreproducing kernel Hilbert spaceresistance distanceMATHEMATICS SUBJECT CLASSIFICATION: Primary: 47B3247B9047N4047N70Secondary: 05C6305C9046C0546E2247B25 Data availability statementThe datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.Disclosure statementThe authors report there are no competing interests to declare.Additional informationFundingNo funding was received to assist with the preparation of this manuscript. The authors have no relevant financial or non-financial interests to disclose.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135351225","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

fgh -Convex Functions and Entropy Bounds fgh -凸函数和熵界

4区数学

Numerical Functional Analysis and Optimization Pub Date : 2023-10-02 DOI: 10.1080/01630563.2023.2261742

Yamin Sayyari, Mehdi Dehghanian

引用次数: 0

Characterizations and Representations of H-S-Frames in Hilbert Spaces 希尔伯特空间中h - s坐标系的表征与表示

4区数学

Numerical Functional Analysis and Optimization Pub Date : 2023-09-27 DOI: 10.1080/01630563.2023.2259697

Yan-Ling Fu, Wei Zhang, Yu Tian

{"title":"Characterizations and Representations of H-S-Frames in Hilbert Spaces","authors":"Yan-Ling Fu, Wei Zhang, Yu Tian","doi":"10.1080/01630563.2023.2259697","DOIUrl":"https://doi.org/10.1080/01630563.2023.2259697","url":null,"abstract":"AbstractH-S-frame is in essence a more general operator-valued frame than generalized frames. In this paper, we aim at studying the characterizations and representations of H-S-frames in H (Hilbert space). We first introduce the notion of H-S-preframe operator, and characterize the H-S-frames, Parseval H-S-frames, H-S-Riesz bases, H-S-orthonormal bases and dual H-S-frames with the help of H-S-preframe operators, and obtain the accurate expressions of all dual H-S-frames of a given H-S-frame by drawing support from H-S-preframe operators. Then we discuss the sum of H-S-frames through the properties of H-S-preframe operators. Finally, with the help of the approaches and skills of frame theory, we present the representations of H-S-frames and H-S-Bessel sequences. Specifically, the necessary and sufficient condition for the H-S-frame to be represented as a combination of two H-S-orthonormal bases is that the H-S-frame is an H-S-Riesz basis.KEYWORDS: Dual H-S-frameframeH-S-frameH-S-preframe operatorH-S-orthonormal basisMATHEMATICS SUBJECT CLASSIFICATION: 47A5842C1546C50 Additional informationFundingSupported by the Key Scientific Research Projects of Colleges and Universities in Henan Province (Grant No. 21A110004).","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135538597","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

On Hermite-Hadamard-Type Inequalities for Subharmonic Functions Over Circular Ring Domains 圆环域上次调和函数的hermite - hadamard型不等式

4区数学

Numerical Functional Analysis and Optimization Pub Date : 2023-09-26 DOI: 10.1080/01630563.2023.2259198

Mohamed Jleli, Bessem Samet

引用次数: 0

Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices 对偶四元数厄米特矩阵特征值的极大极小原理及对偶四元数矩阵的广义逆

4区数学

Numerical Functional Analysis and Optimization Pub Date : 2023-09-20 DOI: 10.1080/01630563.2023.2254090

Chen Ling, Liqun Qi, Hong Yan

{"title":"Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices","authors":"Chen Ling, Liqun Qi, Hong Yan","doi":"10.1080/01630563.2023.2254090","DOIUrl":"https://doi.org/10.1080/01630563.2023.2254090","url":null,"abstract":"AbstractDual quaternions can represent rigid body motion in 3D spaces, and have found wide applications in robotics, 3D motion modelling and control, and computer graphics. In this paper, we introduce three different right linear independency concepts for a set of dual quaternion vectors, and study some related basic properties for dual quaternion vectors and dual quaternion matrices. We present a minimax principle for eigenvalues of dual quaternion Hermitian matrices. Based upon a newly established Cauchy-Schwarz inequality for dual quaternion vectors and singular value decomposition of dual quaternion matrices, we propose an inequality for singular values of dual quaternion matrices. Finally, we introduce the concept of generalized inverses of dual quaternion matrices, and present necessary and sufficient conditions for a dual quaternion matrix to be one of four types of generalized inverses of another dual quaternion matrix.Keywords: Dual quaternion matrixdual quaternion vectoreigenvaluegeneralized inverselinear independenceminimax principle Additional informationFundingThis work was partially supported by Hong Kong Innovation and Technology Commission (InnoHK Project CIMDA). Chen Ling’s work was supported by Natural Science Foundation of China (No. 11971138). Hong Yan’s work was supported by Hong Kong Research Grants Council (Project 11204821), Hong Kong Innovation and Technology Commission (InnoHK Project CIMDA) and City University of Hong Kong (Project 9610034).","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136263823","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: 7

Perturbation Resilience of Self-Adaptive Step-Size Algorithms for Solving Split Variational Inclusion Problems and their Applications 求解分裂变分包含问题的自适应步长算法的扰动弹性及其应用

IF 1.2 4区数学

Numerical Functional Analysis and Optimization Pub Date : 2023-09-01 DOI: 10.1080/01630563.2023.2247615

Yan Tang, Zhihui Ji

引用次数: 0