Results 11 to 20 of about 331 (256)
Summability methods based on the Riemann Zeta function [PDF]
International Journal of Mathematics and Mathematical Sciences, 1988 This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable.
Larry K. Chu
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Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 We prove the necessary and sufficient conditions for an infinity matrix to be a mapping, from absolutely convergent series to convergent sequences, which is treated as general weighted mean summability methods.
Jinlu Li
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A bounded consistency theorem for strong summabilities
International Journal of Mathematics and Mathematical Sciences, 1989 The study of R-type summability methods is continued in this paper by showing that two such methods are identical on the bounded portion of the strong summability field associated with the methods.
C. S. Chun, A. R. Freedman
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On absolute factorable matrix summability methods
, 2016 Summary: In this paper, we give necessary and sufficient conditions for \(| C, 0|_k\Rightarrow | A_f|_s\) and \(| A_f|_k\Rightarrow | C, 0|_s\) for the case \(1 < k \leq s < \infty\), where \(| A_f|_k\) is absolute factorable summability. So we obtain some known results.
Sarıgöl, Mehmet Ali
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A summability factor theorem for absolute summability involving quasi-monotone sequences [PDF]
, 2009 In this paper we prove a theorem on | A |k, k ? 1, summability factors for an infinite series by replacing a weighted mean matrix with a triangular matrix. © 2008 Elsevier Ltd.
Savaş, Ekrem
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Axioms, 2018 In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi +2 more
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On application of matrix summability to Fourier series [PDF]
, 2017 WOS: 000427318700016Bor has recently obtained amain theorem dealing with absolute weighted mean summability of Fourier series. In this paper, we generalized that theorem for vertical bar A, theta(n)vertical bar k summability method.
Yildiz, Sebnem, Sebnem Yildiz
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Regular matrix methods of summability and real interpolation
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2021 Summary: We show that the Banach-Saks property with respect to a regular positive matrix method of summability is inherited by the real interpolation spaces from a space forming the interpolation family and possessing this property. The proof refers to the Galvin-Prikry theorem [\textit{F. Galvin} and \textit{K. Prikry}, J. Symb. Log.
Kryczka, Andrzej, Kurlej, Konrad
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Quasi-Density of Sets, Quasi-Statistical Convergence and the Matrix Summability Method [PDF]
Axioms, 2022 In this paper, we define the quasi-density of subsets of the set of natural numbers and show several of the properties of this density. The quasi-density dp(A) of the set A⊆N is dependent on the sequence p=(pn). Different sequences (pn), for the same set A, will yield new and distinct densities. If the sequence (pn) does not differ from the sequence (n)
Renata Masarova +2 more
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Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials
Известия Иркутского государственного университета: Серия "Математика", 2018 As it is known, Chebyshev polynomials provide the best uniform approach of a function. They are a special case of Faber polynomials. A. I. Shvay (1973) proved that the Vallee-Poussin sums are the best approach apparatus in comparison with the partial ...
L.K. Dodunova, A.A. Ageikin
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