Results 11 to 20 of about 10,992,418 (303)
On a new absolute summability method
International Journal of Mathematics and Mathematical Sciences, 1998 A theorem concerning some new absolute summability method is proved. Many other results, some of them known, are deduced.
W. T. Sulaiman
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On Some New Ideal Convergent Sequence Spaces of -Method of Summability
Cumhuriyet Science Journal, 2017 In thepresent work, we introduce some ideal convergent sequence spaces by using - summability method which is defined by P. N. Natarajan [Onthe -method of summability, Analysis] as a typicallygeneralization of Nörlund method.
Şükran Konca, Nazlım Deniz Aral
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Orlicz–Pettis Theorem through Summability Methods [PDF]
Mathematics, 2019 This paper unifies several versions of the Orlicz−Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear ...
Fernando León-Saavedra +2 more
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TAUBERIAN THEOREM FOR GENERAL MATRIX SUMMABILITY METHOD [PDF]
Ural Mathematical JournalIn this paper, we prove certain Littlewood–Tauberian theorems for general matrix summability method by imposing the Tauberian conditions such as slow oscillation of usual as well as matrix generated sequence, and the De la Vallée Poussin means of real ...
Bidu Bhusan Jena +2 more
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Stečkin inequalities for summability methods
International Journal of Mathematics and Mathematical Sciences, 1997 Stečkin proved an inequality on Fejér means of Fourier series He said, Proving similar inequality for other summability method is an interesting problem. We generalize Stečkin's inequality and give various applications to summability methods.
Jia-Ding Cao
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An Analogue for Strong Summability of Abel's Summability Method [PDF]
Proceedings of the Edinburgh Mathematical Society, 1953 Given a series Σan, we define , by the relationwhere is the binomial coefficient . Let . If , the series Σan is said to be summable (C; k) to the sum s. If k > 0, p ≥ 1 and if, as n → ∞,we say that the series Σan is summable [C; k, p] to the sum s, or that the series is strongly summable (C; k) with index p to the sum s. If denotes the difference ,
Harington, C. F., Hyslop, J. M.
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A Tauberian theorem for the discrete Mφ summability method [PDF]
, 2012 The object of this work is to retrieve the convergence of a series from its discrete Mφ summability under certain conditions.
Çanak, İbrahim +3 more
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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 Products of Summability Methods [PDF]
Proceedings of the American Mathematical Society, 1952 1. At the recent International Congress I. M. Sheffer asked me the following question: Given a sequence {IS, }; form the sequence {an } of the Cesaro means of order a (a > 0) corresponding to { S, } . If S } is summable Abel, is it true that {a"} is also summable Abel? A more general question is: Suppose that A and B are two regular summability methods
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On Tauberian theorems for (A)(C, alpha) summability method
, 2011 In this paper we introduce some Tauberian conditions for the (A)(C, alpha) summability method. These results extend and generalize some of the classical Tauberian theorems for the Abel summability method. (C) 2011 Elsevier Inc.
Yılmaz Erdem +3 more
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