Results 61 to 70 of about 3,795 (162)
Tauberian conditions with controlled oscillatory behavior for statistical convergence
Filomat, 2018 We present new Tauberian conditions in terms of the general logarithmic control modulo of the oscillatory behavior of a real sequence (sn) to obtain lim n?? sn = ? from st - lim n?? sn = ?, where ? is a finite number. We also introduce the statistical (l,m) summability method and extend some Tauberian theorems to this method.
Sezer, Sefa Anil +2 more
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On the weighted generator of double sequences and its Tauberian conditions
Advances in Operator Theory, 2023 Let \(w^2(\mathbb{K})\), \(w(\mathbb{R}^{>0})\), \(c^2(\mathbb{K})\) and \(\ell_{\infty}^2(\mathbb{K})\) denote the set of all double sequences, the set of all single sequences of positive real numbers, the set of all P-convergent (convergent in Pringsheim's sense) double sequences and the set of all bounded double sequences, respectively. The weighted
Zerrin Önder +2 more
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Tauberian theorems for (N̄, p, q, w) summable triple sequences of fuzzy numbers
CQD Revista Eletrônica Paulista de MatemáticaIn this paper, we introduce the notion of weighted mean method (N̄, p, q, w) of triple sequences of fuzzy numbers and and show necessary and sufficient Tauberian conditions under which convergence in Pringsheim's sense of a triple sequence of fuzzy ...
Carlos Bernal Granados +2 more
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MathematicsThe Fibonacci sequence has broad applications in mathematics, where its inherent patterns and properties are utilized to solve various problems. The sequence often emerges in areas involving growth patterns, series, and recursive relationships.
Ibrahim S. Ibrahim +1 more
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A remark on the Wiener-Ikehara Tauberian theorem [PDF]
, 2014 In this paper we point out that the proof of Kable's extension of the Wiener-Ikehara Tauberian theorem can be applied to the case where the Dirichlet series has a pole of order "$l / m$" without much modification (Kable proved the case $l = 1$).Comment ...
Kato, Ryo
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General Tauberian conditions for weighted mean methods of summability [PDF]
Journal of Classical Analysis, 2019 Summary: In this paper we recover convergence of a complex sequence \((u_n)\) out of its summability by weighted means under certain supplementary conditions that control the oscillatory behavior of \((u_n)\). As corollaries, we obtain classical Hardy-type Tauberian conditions for various weighted mean methods.
Sezer, Sefa Anıl, Çanak, İbrahim
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On a Tauberian theorem for the weighted mean method of summability
Kuwait Journal of Science, 2015 We investigate conditions needed for a weighted mean summable series to beconvergent by using Kloosterman’s method. The results of this paper generalize thewell known results of Landau and Hardy.
SEFA ANIL SEZER, İBRAHİM ÇANAK
doaj
Asymptotic expansions relating to the distribution of the length of longest increasing subsequences
Forum of Mathematics, SigmaWe study the distribution of the length of longest increasing subsequences in random permutations of n integers as n grows large and establish an asymptotic expansion in powers of $n^{-1/3}$ .
Folkmar Bornemann
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Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions. [PDF]
Entropy (Basel), 2021 Masoliver J.
europepmc +1 more source
A Note on Tauberian Conditions for Abel and Cesaro Summability [PDF]
Proceedings of the American Mathematical Society, 1955 A conjecture has recently been made by P. L. Butzerl that there exist Tauberian conditions for the Cesaro method of summability which are not also Tauberian conditions for Abel summability. It was pointed out2 by G. Lorentz that the conjecture is true in a trivial sense if we define the Tauberian condition as membership of a class T consisting of all ...
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