Results 1 to 10 of about 4,827 (305)
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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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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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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LACUNARY STATISTICAL HARMONIC SUMMABILITY [PDF]
, 2022 In this paper, the concepts of lacunary (H,1) summability, lacunary strongly harmonically summability, lacunary statistical (H,1) summability, lacunary statistical logarithmic convergence of sequences of real numbers are introduced and relations between ...
Nuray, Fatih
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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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q-analogue of summability of formal solutions of some linear q-difference-differential equations [PDF]
Opuscula Mathematica, 2015 Let \(q\gt 1\). The paper considers a linear \(q\)-difference-differential equation: it is a \(q\)-difference equation in the time variable \(t\), and a partial differential equation in the space variable \(z\). Under suitable conditions and by using \(q\
Hidetoshi Tahara, Hiroshi Yamazawa
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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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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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Pythagorean harmonic summability of Fourier series
Demonstratio Mathematica, 2021 This paper explores the possibility for summing Fourier series nonlinearly via the Pythagorean harmonic mean. It reports on new results for this summability with the introduction of new concepts like the smoothing operator and semi-harmonic summation ...
Haidar Nassar H. S.
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