Necessary and sufficient Tauberian conditions for the logarithmic summability of functions and sequences

DOI10.4064/SM219-2-2zbMath1292.40003arXiv1206.6188OpenAlexW2964034103MaRDI QIDQ2866760

Ferenc Móricz

Publication date: 16 December 2013

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.6188

zbMATH Keywords

inclusion theoremsTauberian conditionsslow decrease and oscillationlogarithmic summability of functions and sequences

Mathematics Subject Classification ID

Integral methods for summability (40C10) Convergence and divergence of integrals (40A10) Tauberian theorems (40E05)

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Necessary and sufficient Tauberian conditions under which statistically logarithmic convergence follows from statistically logarithmic summability ⋮ Tauberian theorems for the logarithmic summability methods of integrals ⋮ On the logarithmic summability $(L,1)$ of integrals on $[1,\infty)$ ⋮ Tauberian conditions of slowly decreasing type for the logarithmic power series method ⋮ Tauberian theorems for the summability methods of logarithmic type ⋮ Statistical limit of Lebesgue measurable functions at \(\infty\) with applications in Fourier Analysis and Summability ⋮ Statistical extension of classical Tauberian theorems in the case of logarithmic summability ⋮ On Tauberian conditions for the logarithmic methods of integrability ⋮ On the logarithmic summability method for sequences of fuzzy numbers ⋮ Log-convex sequences and nonzero proximate orders ⋮ Logarithmic moving averages ⋮ Strongly regular sequences and proximate orders

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