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Summability factors between the absolute Cesàro methods
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 If Σε_{n}x_{n} is summable by the method Y whenever Σx_{n} is summable by the method X, then we say that the factor ε=(ε_{n}) is of type (X,Y) and denote by (X,Y).
G. Canan Hazar Güleç
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On absolute summability factors of infinite series [PDF]
, 2008 In this paper a general theorem on |A,δ|k-summability methods has been proved. This theorem includes, as a special case, a known result in [E. Savas, Factors for |A|k Summability of infinite series, Comput. Math. Appl. 53 (2007) 1045–1049]
Savaş, Ekrem
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Summability Factors for Cesaro Methods [PDF]
Proceedings of the American Mathematical Society, 1979 It is shown that if each of r and s is a nonnegative integer and {
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An application of almost increasing sequences
International Journal of Mathematics and Mathematical Sciences, 2000 We extended a theorem of Mishra and Srivastava (1983–1984) on |C,1|k summability factors, using almost increasing sequences, to |N¯,pn|k summability under weaker conditions.
Hüseyin Bor
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On generalized absolute Cesàro summability factors [PDF]
, 2012 In this paper, a known theorem dealing with vertical bar C, alpha, gamma; delta vertical bar(k) summability factors has been generalized for vertical bar C, alpha, beta, gamma; delta vertical bar(k) summability factors.
Tuncer, Adive Nihal, A Tuncer
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On the Introduction of Convergence Factors into Summable Series and Summable Integrals [PDF]
Transactions of the American Mathematical Society, 1907 The object of this paper is to develop certain general theorems about convergence factors. In the case of series we shall mean by convergence factors a set of functions of a parameter which, when introduced as factors of the successive terms of the series, cause a divergent series to converge, or a series which is already convergent to converge more ...
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Local properties of Fourier series
International Journal of Mathematics and Mathematical Sciences, 2000 A theorem on local property of |N¯,pn|k summability of factored Fourier series, which generalizes some known results, and also a general theorem concerning the |N¯,pn|k summability factors of Fourier series have been proved.
Hüseyin Bor
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On Absolute Summability Factors
Rocky Mountain Journal of Mathematics, 2003 \textit{T. M. Flett} [Proc.~Lond. Math.~Soc., III. Ser. 7, 113--141 (1957; Zbl 0109.04402)] has defined absolute summability of order \(k\) in the following manner:\ Let \(\{s_n\}\) be the sequence of partial sums of the infinite series \(\sum a_n\), and let \(\sigma_n^\alpha\) denote the \(n\)th Cesàro mean, of order \(\alpha>-1\), of \(\{s_n ...
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A new factor theorem for generalized absolute Riesz summability
Karpatsʹkì Matematičnì Publìkacìï, 2019 The aim of this paper is to consider an absolute summability method and generalize a theorem concerning $\left|\bar{N},p_{n}\right|_{k}$ summability of infinite series to ${\varphi-\mid{\bar{N},p_n;\delta}\mid}_k$ summability of infinite series by using ...
A. Karakaş
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Factors for absolute Riesz summability methods
, 1998 We prove a theorem on |N,pn;δ|k summability factors, which extends a theorem of Bor [3] on |N,pn|k summability ...
Bor, Hüseyin, Hüseyin Bor
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