Bicomplex Landau and Ikehara Theorems for the Dirichlet Series
Journal of Mathematics, 2022 The aim of this paper is to generalize the Landau-type Tauberian theorem for the bicomplex variables. Our findings extend and improve on previous versions of the Ikehara theorem.
Ritu Agarwal +4 more
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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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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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Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces [PDF]
Yugoslav Journal of Operations Research, 2022 We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient Tauberian conditions under which convergence of double sequences in IFNS follows from their weighted mean ...
Narayan Mishra Lakshmi +3 more
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A Mean Ergodic Theorem for Affine Nonexpansive Mappings in Nonpositive Curvature Metric Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we consider the orbits of an affine nonexpansive mapping in Hadamard (nonpositive curvature metric) spaces and prove an ergodic theorem for the inductive mean, which extends the von Neumann linear ergodic theorem.
Khatibzadeh Hadi, Pouladi Hadi
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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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Sobre el Teorema Tauberiano de W. Rudin
Revista de Matemática: Teoría y Aplicaciones, 2012 Using W. Rudin’s method it is shown that the tauberian theorem can be generalized to several kernels other than the Poisson kernel. We also proof an inverse of the tauberian theorem, that is, an abelian theorem.
Marielos Mora
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An application of results by Hardy, Ramanujan and Karamata to Ackermannian functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 The Ackermann function is a fascinating and well studied paradigm for a function which eventually dominates all primitive recursive functions. By a classical result from the theory of recursive functions it is known that the Ackermann function can be
Andreas Weiermann
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Converse Theorems for the Cesàro Summability of Improper Integrals
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 In thispaper we prove converse theorems to obtain usual convergence of improperintegrals from Cesàro summability.
Sefa Anıl Sezer, Rahmet Savaş
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Comparison of speeds of convergence in Riesz‐type families of summability methods. II
Mathematical Modelling and Analysis, 2010 Certain summability methods for functions and sequences are compared by their speeds of convergence. The authors are extending their results published in paper [9] for Riesz‐type families {Aα} (α > α0 ) of summability methods Aα .
Anna Šeletski, Anne Tali
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