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Titlebook: Applied Summability Methods; M. Mursaleen Book 2014 M. Mursaleen 2014 Korovkin approximation theorems.Lambert summability.Lototski summabi

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发表于 2025-3-21 17:51:22 | 显示全部楼层 |阅读模式
期刊全称Applied Summability Methods
影响因子2023M. Mursaleen
视频video
发行地址Focuses exclusively on the study of summability methods and their applications.Features self-contained chapters appropriate for researchers and graduate students.Includes topics such as proof of the p
学科分类SpringerBriefs in Mathematics
图书封面Titlebook: Applied Summability Methods;  M. Mursaleen Book 2014 M. Mursaleen 2014 Korovkin approximation theorems.Lambert summability.Lototski summabi
影响因子This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years. The book provides basic definitions of sequence spaces, matrix transformations, regular matrices and some special matrices, making the material accessible to mathematicians who are new to the subject. Among the core items covered are the proof of the Prime Number Theorem using Lambert‘s summability and Wiener‘s Tauberian theorem, some results on summability tests for singular points of an analytic function, and analytic continuation through Lototski summability. Almost summability is introduced to prove Korovkin-type approximation theorems and the last chapters feature statistical summability, statistical approximation, and some applications of summability methods in fixed point theorems.
Pindex Book 2014
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发表于 2025-3-21 21:21:58 | 显示全部楼层
https://doi.org/10.1007/978-3-319-04609-9Korovkin approximation theorems; Lambert summability; Lototski summability; Toeplitz matrices; prime num
发表于 2025-3-22 00:40:43 | 显示全部楼层
Richard P. Gallagher,J. Mark ElwoodThe theory of matrix transformations deals with establishing necessary and sufficient conditions on the entries of a matrix to map a sequence space . into a sequence space .. This is a natural generalization of the problem to characterize all summability methods given by infinite matrices that preserve convergence.
发表于 2025-3-22 07:48:59 | 显示全部楼层
Richard P. Gallagher,J. Mark ElwoodA point at which the function .(.) ceases to be analytic, but in every neighborhood of which there are points of analyticity is called singular point of .(.).
发表于 2025-3-22 11:29:43 | 显示全部楼层
发表于 2025-3-22 14:35:23 | 显示全部楼层
https://doi.org/10.1007/978-3-642-71043-8Let (..) be a sequence of independent, identically distributed (i.i.d.) random variables with . | .. | < . and .. = ., . = 1, 2, .. Let . = (..) be a Toeplitz matrix, i.e., the conditions (1.3.1)–(1.3.3) of Theorem 1.3.3 are satisfied by the matrix . = (..). Since . the series . converges absolutely with probability one.
发表于 2025-3-22 18:35:41 | 显示全部楼层
https://doi.org/10.1007/978-3-642-71043-8In this chapter we apply regular and almost regular matrices to find the sum of derived Fourier series, conjugate Fourier series, and Walsh-Fourier series (see [4] and [69]). Recently, Móricz [67] has studied statistical convergence of sequences and series of complex numbers with applications in Fourier analysis and summability.
发表于 2025-3-22 22:03:59 | 显示全部楼层
Toeplitz Matrices,The theory of matrix transformations deals with establishing necessary and sufficient conditions on the entries of a matrix to map a sequence space . into a sequence space .. This is a natural generalization of the problem to characterize all summability methods given by infinite matrices that preserve convergence.
发表于 2025-3-23 02:17:45 | 显示全部楼层
Summability Tests for Singular Points,A point at which the function .(.) ceases to be analytic, but in every neighborhood of which there are points of analyticity is called singular point of .(.).
发表于 2025-3-23 08:29:26 | 显示全部楼层
Lototski Summability and Analytic Continuation,Analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example, in a new region where an infinite series representation in terms of which it is initially defined becomes divergent.
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