Results 11 to 20 of about 406 (262)
On a new application of quasi power increasing sequences
Karpatsʹkì Matematičnì Publìkacìï, 2019 In the present paper, absolute matrix summability of infinite series has been studied. A new theorem concerned with absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series,
H.S. Özarslan
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Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences
Journal of New Theory, 2022 This paper generalises a well-known theorem on ${\mid{C},\rho\mid}_\kappa$ summability to the $\varphi-{\mid{C},\rho;\beta\mid}_\kappa$ summability of an infinite series using an almost increasing and a $\delta$-quasi monotone sequence.
Bağdagül Kartal
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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 Strong Approximation in Generalized Hölder and Zygmund Spaces
Computer Sciences & Mathematics Forum, 2023 The strong approximation of a function is a useful tool to analyze the convergence of its Fourier series. It is based on the summability techniques. However, unlike matrix summability methods, it uses non-linear methods to derive an auxiliary sequence ...
Birendra Singh, Uaday Singh
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On $C_1$-summability of series.
Michigan Mathematical Journal, 1962 Vorgelegt seien Zahlen \(a_j \geq 0\). Die Verff. betrachten alle Reihen \(\sum \varepsilon_j a_j\) (wo \(\varepsilon_j = \pm 1)\), die \(C_1\)-summierbare sind; die Menge der entsprechenden \(C_1\)-Summen bezeichnen sie mit \(SC\{a_j\}\). Das übersichtlichste Ergebnis lautet: Gibt es eine Teilfolge mit \(a_{n_i} \to 0\) und \(\sum a_{n_i} =\infty ...
Erdős, Paul, Hanani, Haim
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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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ON STRONG SUMMABILITY OF THE FOURIER SERIES VIA DEFERRED RIESZ MEAN
Проблемы анализаThe strong summability technique has attracted a remarkably large number of researchers for better convergence analysis of infinite series as well as Fourier series in the study of summability theory.
J. Sahoo, B. B. Jena, S. K. Paikray
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On the summability of divergent power series solutions for certain first-order linear PDEs [PDF]
Opuscula Mathematica, 2015 This article is concerned with the study of the Borel summability of divergent power series solutions for certain singular first-order linear partial differential equations of nilpotent type. Our main purpose is to obtain conditions which coefficients of
Masaki Hibino
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Approximation of functions by (C,2)(E,1) product summability method of Fourier series
Ratio Mathematica, 2020 Various investigators such as Leindler [10], Chandra [1], Mishra et al. [7], Khan [11], Kushwaha [6] have determined the degree of approximation of 2 pai-periodic functions belonging to generalized Lipschitz class of functions through trigonometric ...
Jitendra Kumar Kushwaha
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A note on absolute summability factors
International Journal of Mathematics and Mathematical Sciences, 1994 In this paper, a generalization of a theorem of Mishra and Srivastava [4] on |C,1|k summability factors has been proved.
Hüseyın Bor
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