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On Riesz summability factors of Fourier series [PDF]
Transactions of A Razmadze Mathematical Institute, 2017 WOS: 000415323800007In this paper, a main theorem dealing with |(N) over bar, p(n)|(k) summability method has been generalized for (SIC) -|(N) over bar, p(n); delta|(k) summability by using different and general summability factors of Fourier series.
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Canadian Mathematical Bulletin, 1980
In a paper by Wilansky and the writer [4] there were five questions left open, four of which have been answered by Beekman and the writer, [1], [3]. We shall consider the fifth one, namely, “If , must for every matrix D with cD = cA?” Here A is a conservative summability matrix with column limits .
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In a paper by Wilansky and the writer [4] there were five questions left open, four of which have been answered by Beekman and the writer, [1], [3]. We shall consider the fifth one, namely, “If , must for every matrix D with cD = cA?” Here A is a conservative summability matrix with column limits .
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The American Mathematical Monthly, 2000
In this note we prove a theorem related to the Steinhaus Theorem on matrix summability methods [2]. Recall that a matrix summability method is a sequenceto-sequence mapping of the form {xj} '> {sn = an, kXk}, n E N, and it is called regular if convergent sequences are mapped to convergent sequences with the same limit.
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In this note we prove a theorem related to the Steinhaus Theorem on matrix summability methods [2]. Recall that a matrix summability method is a sequenceto-sequence mapping of the form {xj} '> {sn = an, kXk}, n E N, and it is called regular if convergent sequences are mapped to convergent sequences with the same limit.
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On Strong Summability of Fourier Series of Summable Functions
Ukrainian Mathematical Journal, 2000Summary: In the metric of \(L\) we obtain estimates for the generalized means of deviations of partial Fourier sums from an arbitrary summable function in terms of the corresponding means of its best approximations by trigonometric polynomials.
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On the relation of generalized Valiron summability to Cesàro summability
Proceedings of the Indian Academy of Sciences - Section A, 1981A family (Vak) of summability methods, called generalized Valiron summability, is defined. The well-known summability methods (Bα,γ), (Eρ, (Tα), (Sβ) and (Va) are members of this family. In §3 some properties of the (Bα,γ) and (Vak) transforms are established.
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Strong summability of orthogonal expansions of summable functions. I
Ukrainian Mathematical Journal, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stepanets, A. I., Lasuriya, R. A.
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Summability factors for generalized absolute summability. II
2001Summary: A new theorem concerning the characterization of absolute summability factors has been proved. [For Part I and III see ibid. 31--39 (2001; Zbl 1078.40501) and 47--52 (2001; Zbl 1078.40502).]
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On Ingham summability and summability by Lambert series
Mathematical Proceedings of the Cambridge Philosophical Society, 1955In his paper ‘Some Tauberian theorems connected with the prime number theorem’, Ingham(10) discusses the method of summation of the series defined ...
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On Summability, Multipliability, and Integrability
2016We define and study summability and multipliability of families indexed by well-ordered sets of real numbers. These concepts generalize the classical notions of convergence of infinite series and products. The members of the families are assumed to be elements of general Banach spaces or Banach algebras, but most of our results are new even in the real-
Seppo Heikkilä, Antonín Slavík
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