Results 21 to 30 of about 541 (282)
On an application of almost increasing sequences
International Journal of Mathematics and Mathematical Sciences, 2001 Using an almost increasing sequence, a result of Mazhar (1977) on |C,1|k summability factors has been generalized for |C,α;β|k and |N¯,pn;β|k summability factors under weaker conditions.
Hüseyın Bor
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On almost increasing sequences and its applications
International Journal of Mathematics and Mathematical Sciences, 2001 We prove a general theorem on |N¯,pn;δ|k summability factors, which generalizes a theorem of Bor (1994) on |N¯,pn|k summability factors, under weaker conditions by using an almost increasing sequence.
Hikmet S. Özarslan
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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 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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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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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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A NEW STUDY ON ABSOLUTE CESÀRO SUMMABILITY FACTORS [PDF]
, 2021 In this paper, we have generalized a known theorem dealing with $\varphi-{\mid{C},\alpha,\mid}_k$ summability factors of infinite series to the $\varphi-{\mid{C},\alpha,\beta\mid}_k$ summability method under weaker conditions.
Bor, Huseyin
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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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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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