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Comparison of speeds of convergence in Riesz‐type families of summability methods. II
Mathematical Modelling and Analysis, 2010 Certain summability methods for functions and sequences are compared by their speeds of convergence. The authors are extending their results published in paper [9] for Riesz‐type families {Aα} (α > α0 ) of summability methods Aα .
Anna Šeletski, Anne Tali
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Tauberian class estimates for vector-valued distributions [PDF]
, 2019 We study Tauberian properties of regularizing transforms of vector-valued tempered distributions, that is, transforms of the form $M^{\mathbf{f}}_{\varphi}(x,y)=(\mathbf{f}\ast\varphi_{y})(x)$, where the kernel $\varphi$ is a test function and $\varphi_ ...
Pilipović, Stevan, Vindas, Jasson
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Análogos a Teoremas Tauberianos
Revista de Matemática: Teoría y Aplicaciones, 2011 We obtain some results similar to W. Rudin’s Tauberian Theorem, on singular integrals defined on bounded intervals.
María de los Angeles Mora M
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Wiener Tauberian theorems for vector-valued functions
International Journal of Mathematics and Mathematical Sciences, 1994 Different versions of Wiener's Tauberian theorem are discussed for the generalized group algebra L1(G,A) (of integrable functions on a locally compact abelian group G taking values in a commutative semisimple regular Banach algebra A) using A-valued ...
K. Parthasarathy, Sujatha Varma
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Unbounded Versions of Two Old Summability Theorems
Axioms, 2023 In this note, we obtain extensions of a theorem of Meyer-König and Zeller and a theorem of Wilansky in that the given results do not require a summability matrix to be a bounded operator from the convergent sequences into themselves.
Jeff Connor
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Tauberian theorem for value functions [PDF]
, 2017 For two-person dynamic zero-sum games (both discrete and continuous settings), we investigate the limit of value functions of finite horizon games with long run average cost as the time horizon tends to infinity and the limit of value functions of ...
Khlopin, Dmitry
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Tauberian conditions for Conull spaces
International Journal of Mathematics and Mathematical Sciences, 1985 The typical Tauberian theorem asserts that a particular summability method cannot map any divergent member of a given set of sequences into a convergent sequence. These sets of sequences are typically defined by an order growth or gap condition.
J. Connor, A. K. Snyder
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DISTRIBUTION OF VALUES OF THE SUM OF UNITARY DIVISORS IN RESIDUE CLASSES
Проблемы анализа, 2016 In this paper we prove the tauberian type theorem containing the asymptotic series for the Dirichlet series. We use this result to study distribution of sum of unitary divisors in residue classes coprime with a module.
B. M. Shirokov, L. A. Gromakovskaya
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Generalized Euler‐Knopp method and convergence acceleration
Mathematical Modelling and Analysis, 2006 New propositions on λ‐boundedness for generalized Euler‐Knopp method of summability (ϵ, T), where ? is a linear bounded operator from Banach space X into X, are proved.
O. Meronen, I. Tammeraid
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Tauberian conditions, Muckenhoupt weights, and differentiation properties of weighted bases [PDF]
, 2013 We give an alternative characterization of the class of Muckenhoupt weights $A_{\infty, \mathfrak B}$ for homothecy invariant Muckenhoupt bases $\mathfrak B$ consisting of convex sets. In particular we show that $w\in A_{\infty, \mathfrak B}$ if and only
Hagelstein, Paul A. +2 more
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