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Tauberian conditions for Conull spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1985 The typical Tauberian theorem asserts that a particular summability method cannot map any divergent member of a given set of sequences into a convergent sequence. These sets of sequences are typically defined by an order growth or gap condition.
J. Connor, A. K. Snyder
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Some Tauberian conditions on logarithmic density [PDF]
Advances in Difference Equations, 2019 This article is based on the study on the λ-statistical convergence with respect to the logarithmic density and de la Vallee Poussin mean and generalizes some results of logarithmic λ-statistical convergence and logarithmic (V,λ) $(V,\lambda ...
Adem Kılıçman +2 more
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Tauberian conditions for a general limitable method [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Let (un) be a sequence of real numbers, L an additive limitable method with some property, and and different spaces of sequences related to each other.
İbrahim Canak, Ümit Totur
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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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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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NECESSARY AND SUFFICIENT TAUBERIANCONDITIONS UNDER WHICH CONVERGENCEFOLLOWS FROM SUMMABILITY Ar,p
Проблемы анализа, 2021 In this paper, we introduce the summability method Ar,p and obtain necessary and sufficient Tauberian conditions under which the ordinary convergence of a sequence follows from itssummability Ar,p.
C. Kambak, I. Canak
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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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TAUBERIAN CONDITIONS FOR $q$-CES\`{A}RO INTEGRABILITY [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2020 Given a $q$-integrable function $f$ on $[0, \infty)$, we define $s(x)=\int_{0}^{x}f(t)d_qt$ and $\sigma(s(x))=\frac{1}{x}\int _{0}^{x} s(t)d_{q}t$ for $x>0$. It is known that if $\lim _{x \to \infty}s(x)$ exists andis equal to $A$, then $\lim _{x \to \infty}\sigma(s(x))=A$. But the converse of this implication is not true in general.
Sefa Anıl Sezer, İbrahim Çanak
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Communications in Advanced Mathematical Sciences, 2020 We define statistical logarithmic summability of strongly measurable fuzzy valued functions and we give slowly decreasing type Tauberian conditions under which statistical limit at infinity and statistical logarithmic summability of strongly measurable ...
Enes Yavuz +2 more
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ON A TAUBERIAN CONDITION FOR BOUNDED LINEAR OPERATORS [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2009 Let \(T\) be a bounded linear operator on a complex Banach space \(X\). The operator \(T\) is called power bounded if there is a constant \(C\) such that \(\| T^{n} \| \leq C\) for all \(n = 1,2,\dots\). The main results of the paper are the following. Assume that the operator \(T\) satisfies the Tauberian condition \[ \sup_{n \geq 1} (n + 1) \| (I - T)
Malinen, J., Nevanlinna, O., Yuan, Z.
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