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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 +1 more
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ON \(A^{\mathcal{I^{K}}}\)–SUMMABILITY [PDF]
Ural Mathematical Journal, 2022 In this paper, we introduce and investigate the concept of \(A^{\mathcal{I^{K}}}\)-summability as an extension of \(A^{\mathcal{I^{*}}}\)-summability which was recently (2021) introduced by O.H.H.~Edely, where \(A=(a_{nk})_{n,k=1}^{\infty}\) is a non ...
Chiranjib Choudhury, Shyamal Debnath
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Mathematical and Computer Modelling, 2009 If \(x=(x_k)\) is a number sequence and \(A=(a_{nk})_{n,k=1}^{\infty}\) is an infinite matrix, then \(Ax\) is the sequence whose \(n\)th term is given by \(A_n(x) = \sum_{k=1}^{\infty}a_{n,k}x_k\). Thus we say that \(x\) is \(A\)-summable to \(L\) if \(\lim_n A_n(x)=L\).
Mohammad Mursaleen
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Summability in Topological Spaces
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hüseyin Çakallı
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A Summability Factor Theorem for a Generalized Absolute Cesàro Summability
Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dansheng Yu
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Some remarks on Cesaro summability in neutrosophic normed spaces [PDF]
Neutrosophic Sets and Systems, 2023 In this paper, we define the notion of a generalized summability, called Ces`aro summability in neutrosophic normed spaces (briefly NNS). We obtain conditions under which ordinary summability follows from Cesaro summability. Later, we define a concept of
Vijay Kumar +2 more
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Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 The concept of summability plays a central role in finding formal solutions of partial differential equations. In this paper, we introduce the concept of Cesàro summability in an intuitionistic fuzzy $n$-normed linear space (IFnNLS).
Pradip Debnath
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Analytic continuation of solutions of some nonlinear convolution partial differential equations [PDF]
Opuscula Mathematica, 2015 The paper considers a problem of analytic continuation of solutions of some nonlinear convolution partial differential equations which naturally appear in the summability theory of formal solutions of nonlinear partial differential equations.
Hidetoshi Tahara
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Pointwise approximation of modified conjugate functions by matrix operators of their Fourier series; pp 50-60 [PDF]
Proceedings of the Estonian Academy of Sciences, 2018 We extend the results presented by Xh. Z. Krasniqi (Slight extensions of some theorems on the rate of pointwise approximation of functions from some subclasses of Lp. Acta Comment. Univ. Tartu. Math., 2013, 17, 89â101) and W. Lenski and B.
Włodzimierz Łenski, Bogdan Szal
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On the Euler method of summability and concerning Tauberian theorems
Cumhuriyet Science Journal, 2021 For any two regular summability methods (U) and (V), the condition under which V-limx_n=λ implies U-limx_n=λ is called a Tauberian condition and the corresponding theorem is called a Tauberian theorem.
İbrahim Çanak, Sefa Anıl Sezer
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