Results 21 to 30 of about 16,815 (284)
A Study on Generalized Absolute Matrix Summability
Cumhuriyet Science Journal, 2022 In the present paper, generalized absolute matrix summability method of infinite series has been studied. A known theorem on IMI ,summability method has been generalized using the summability method of infinite series.
Ahmet Karakaş
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On Absolute Cesàro Summability
Journal of Inequalities and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Şevli, Hamdullah, Savaş, Ekrem
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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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A new extension on the theorem of Bor
Comptes Rendus. Mathématique, 2021 In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to $|A,\theta _{n}|_{k}$ summability method for taking power increasing sequence.
Yıldız, Şebnem
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Orlicz–Pettis Theorem through Summability Methods
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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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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Rainwater-Simons-type convergence theorems for generalized convergence methods [PDF]
, 2010 We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence.
Hardtke, Jan-David
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Analytic and summable solutions of inhomogeneous moment partial differential equations
, 2016 We study the Cauchy problem for a general inhomogeneous linear moment partial differential equation of two complex variables with constant coefficients, where the inhomogeneity is given by the formal power series.
Michalik, Sławomir
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A Summability Factor Theorem for Generalized Absolute Summability
Real Analysis Exchange, 2006 In this paper, we establish a summability factor theorem for summability |A, |k as defined in (1) where A is a lower triangular matrix with non-negative entries satisfying certain conditions. Our paper is an extension of the main result of [1] using definition (1) below.
Rhoades, B. E., Savaş, Ekrem
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NECESSARY AND SUFFICIENT TAUBERIANCONDITIONS UNDER WHICH CONVERGENCEFOLLOWS FROM SUMMABILITY Ar,p
Проблемы анализа, 2021 In this paper, we introduce the summability method Ar,p and obtain necessary and sufficient Tauberian conditions under which the ordinary convergence of a sequence follows from itssummability Ar,p.
C. Kambak, I. Canak
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