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On Absolute Summability by Riesz and Generalized Cesàro Means. I
1. The Cesàro methods for ordinary [9, p. 17; 6, p. 96] and for absolute [9, p. 25] summation of infinite series can be generalized by the Riesz methods [7, p. 21; 12; 9, p. 52; 6, p. 86; 5, p.
H.-H. Körle
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Absolute summability factors for Cesàro and Riesz means
Summary: In this paper we characterize the sets of summability factors \(({|C, 0|}_k, {|R, p_n|}_s)\) and \(({|R, p_n|}_k, {|C, 0|}_s)\), \(1 < k \leq s < \infty\), which also extends some known results.
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Riesz-McNaughton functions and Riesz MV-algebras of nonlinear functions
We focus on Riesz MV-algebras, which are MV-algebras equipped with a multiplication by numbers in the real interval [0,1]. In analogy with a work in preparation for MV-algebras by the same authors, we consider for every integer n the Riesz MV-algebra of ...
LENZI, Giacomo +5 more
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Absolute summability by Riesz means [PDF]
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One introduces the concept of greedy k-summability in such a way, that the direct product of one greedy k-summable numeric array onto another greedy n-summable numeric array to be greedy (n+k+1)-summable.
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Riesz-McNaughton functions and Riesz MV-algebras of nonlinear functions
We focus on Riesz MV-algebras, which are MV-algebras equipped with a multiplication by numbers in the real interval . We consider for every integer n the Riesz MV-algebra of all continuous functions from the n-th power of to and the Riesz MV ...
LENZI, Giacomo +2 more
core
General equilibrium analysis in ordered topological vector spaces [PDF]
The second welfare theorem and the core-equivalence theorem have been proved to be fundamental tools for obtaining equilibrium existence theorems, especially in an infinite dimensional setting.
Monique Florenzano +2 more
core
$L^{p}$ estimates for multilinear maximal Bochner--Riesz means and square function [PDF]
In this article we have investigated $L^{p}$ boundedness of the multilinear maximal Bochner--Riesz means and the corresponding square function. We have exploited the ideas given in the paper Maximal estimates for bilinear Bochner--Riesz means (Adv ...
Shuin, Kalachand
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On relations between Nörlund and Riesz means [PDF]
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