Results 11 to 20 of about 1,040 (304)
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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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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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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Tauberian Remainder Theorems for the Weighted Mean Method of Summability
Mathematical Modelling and Analysis, 2014 Using the weighted general control modulo, we prove several Tauberian remainder theorems for the weighted mean method of summability. Our results generalize the results proved by Meronen and Tammeraid [Math. Model. Anal. 18 (1) 2013, 97–102].
Sefa Anil Sezer, Ibrahim Canak
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Axioms, 2021 In this survey article, we look into some recent results concerning summability matrices, both regular as well as those which are not regular (called semi-regular) and generated matrix ideals as the overall view of the inter relationship between the ...
Pratulananda Das
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Dera Natung Government College Research Journal, 2023 We define the concept of rough limit set of a triple sequence space of beta Stancu operators of Borel summability of gradual real numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of ...
Arulmani İndumathi +2 more
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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 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 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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