TIBIA 发表于 2025-3-21 17:51:22
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https://doi.org/10.1007/978-3-319-04609-9Korovkin approximation theorems; Lambert summability; Lototski summability; Toeplitz matrices; prime numIngratiate 发表于 2025-3-22 00:40:43
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.Cupping 发表于 2025-3-22 07:48:59
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 .(.).Seminar 发表于 2025-3-22 11:29:43
http://reply.papertrans.cn/17/1602/160182/160182_5.png欢腾 发表于 2025-3-22 14:35:23
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.爱哭 发表于 2025-3-22 18:35:41
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 and ). Recently, Móricz has studied statistical convergence of sequences and series of complex numbers with applications in Fourier analysis and summability.miniature 发表于 2025-3-22 22:03:59
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.HARP 发表于 2025-3-23 02:17:45
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 .(.).含沙射影 发表于 2025-3-23 08:29:26
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.