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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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ON \(A^{\mathcal{I^{K}}}\)–SUMMABILITY
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 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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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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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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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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Journal of Modern Dynamics, 2023 We introduce a class of orbits which may have $0$ Lyapunov exponents, but still demonstrate some sensitivity to initial conditions. We construct a countable Markov partition with a finite-to-one almost everywhere induced coding, and which lifts the geometric potential with summable variations (for a $C^{1+}$ diffeomorphism of a closed manifold of ...
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Strong summability methods in a Riesz-type family; pp. 238–250 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 We continue our studies on Riesz-type families of summability methods for functions and sequences, started in (Proc. Estonian Acad. Sci., 2008, 57, 70â80) and (Math. Model. Anal., 2010, 15, 103â112). Strong summability methods defined on the basis of
Anna Šeletski, Anne Tali
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