Results 1 to 10 of about 63 (51)
A finitization of Littlewood's Tauberian theorem and an application in Tauberian remainder theory
Annals of Pure and Applied Logic, 2023 Abel and Tauber's theorems relate the convergence of the coefficients of a power series and the convergence of the power series, as a function, towards its radius of convergence. In [Math. Log. Q. 66, No. 3, 300--310 (2020; Zbl 1521.03217)], the author proposed to extend the proof mining program (see, e.g. [\textit{U. Kohlenbach}, Applied proof theory.
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Some Tauberian Remainder Theorems for Holder Summability
Mathematical Modelling and Analysis, 2015 In this paper, we prove some Tauberian remainder theorems that generalize the results given by Meronen and Tammeraid [Math. Model. Anal., 18(1):97– 102, 2013] for Holder summability method using the notion of the general control modulo of the oscillatory
Umit Totur, Muhammet Ali Okur
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Tauberian Remainder Theorems for the Weighted Mean Method of Summability
Mathematical Modelling and Analysis, 2014 Using the weighted general control modulo, we prove several Tauberian remainder theorems for the weighted mean method of summability. Our results generalize the results proved by Meronen and Tammeraid [Math. Model. Anal. 18 (1) 2013, 97–102].
Sefa Anil Sezer, Ibrahim Canak
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On a Tauberian theorem with the remainder term and its application to the Weyl law
Journal of Mathematical Analysis and Applications, 2013 Abstract The purpose of this paper is twofold. First, we prove a generalization of the classical Tauberian theorem for the Laplace transform obtained by A. M. Subhankulov which gives an optimal bound for the remainder term. Second, we apply the Subhankulov theorem to a suitably transformed trace formula in the setting of symmetric spaces of real rank
Lejla Smajlović, Lamija Šćeta
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An application of a general Tauberian remainder theorem
Arkiv for Matematik, 1975 exaly +4 more sources
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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Generalized Euler‐Knopp method and convergence acceleration
Mathematical Modelling and Analysis, 2006 New propositions on λ‐boundedness for generalized Euler‐Knopp method of summability (ϵ, T), where ? is a linear bounded operator from Banach space X into X, are proved.
O. Meronen, I. Tammeraid
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GENERALIZED LINEAR METHODS AND GAP TAUBERIAN REMAINDER THEOREMS
Mathematical Modelling and Analysis, 2008 Some gap Tauberian remainder theorems are proved for generalized linear methods A = (Ank) , where Ank are bounded linear operators from Banach space X into X. In these theorems the investigated sequences have infinitely many constant pieces.
Meronen, Olga, Tammeraid, Ivar
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General logarithmic control modulo and Tauberian remainder theorems
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 Let $\lambda=(\lambda_n)$ be a nondecreasing sequence of positive numbers such that $\lambda_n\to\infty$. A sequence $(\xi_n)$ is called $\lambda$-bounded if \begin{equation*} \lambda_n(\xi_n-\alpha)=O(1)\end{equation*} with the limit $\displaystyle{\lim_{n\rightarrow \infty}\xi_n=\alpha}$.
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GENERAL CONTROL MODULO AND TAUBERIAN REMAINDER THEOREMS FOR (C, 1) SUMMABILITY
Mathematical Modelling and Analysis, 2013 We prove for the (C, 1) summability method several Tauberian remainder theorems using the general control modulo of the oscillatory behavior.
Meronen, Olga, Tammeraid, Ivar
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