Results 11 to 20 of about 8,548 (279)
Orlicz–Pettis Theorem through Summability Methods
Mathematics, 2019 This paper unifies several versions of the Orlicz−Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear ...
Fernando León-Saavedra +2 more
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A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices
Mathematics, 2021 In this study, we present a link between approximation theory and summability methods by constructing bivariate Bernstein-Kantorovich type operators on an extended domain with reparametrized knots.
Hari M. Srivastava +3 more
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Rainwater-Simons-type convergence theorems for generalized convergence methods [PDF]
, 2010 We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence.
Hardtke, Jan-David
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Hausdorff summability methods, addendum [PDF]
Transactions of the American Mathematical Society, 1963 Three theorems are proven: (1) H st run. Concent alpha /sub 2/ (t,r)n.t.s. H st run. Concent alpha /sub 3/(t, r). (2) For b - 1> -k/log r, H st run. Concent alpha /sub 1/(t,k,b)n.t.s. H st run. Concent alpha / sub 3/(t,r) (3) For k> 4, H st run. Concent alpha /sub 1/(t,k + 1,c)n.t.s. H st run. Concent alpha /sub 1/(t,k,c).
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A new note on factored infinite series and trigonometric Fourier series
Comptes Rendus. Mathématique, 2021 In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series.
Bor, Hüseyin
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Generalized linear methods and convergence acceleration
Mathematical Modelling and Analysis, 2003 Several λ‐boundedness propositions for generalized linear methods A = (Ank ), while Ank are specially fixed linear bounded operators from Banach space X into X, are presented.
I. Tammeraid
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An Analogue for Strong Summability of Abel's Summability Method [PDF]
Proceedings of the Edinburgh Mathematical Society, 1953 Given a series Σan, we define , by the relationwhere is the binomial coefficient . Let . If , the series Σan is said to be summable (C; k) to the sum s. If k > 0, p ≥ 1 and if, as n → ∞,we say that the series Σan is summable [C; k, p] to the sum s, or that the series is strongly summable (C; k) with index p to the sum s. If denotes the difference ,
Harington, C. F., Hyslop, J. M.
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Convergence acceleration and linear methods
Mathematical Modelling and Analysis, 2003 Two λ‐convergence propositions for linear methods A = (Ank ), while Ank are linear bounded operators from Banach space X into Banach space Y, are presented. These results are applied to study convergence acceleration of linear methods.
I. Tammeraid
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Relations on some Summability Methods [PDF]
Proceedings of the American Mathematical Society, 1993 In this paper we prove a new result connecting the summability methods | N ¯ , p n | k |\overline N ,{p_n}{|_k} with either
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Ideal-quasi-Cauchy sequences [PDF]
, 2012 An ideal $I$ is a family of subsets of positive integers $\textbf{N}$ which is closed under taking finite unions and subsets of its elements.
Cakalli, Huseyin, Hazarika, Bipan
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