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Some Tauberian conditions on logarithmic density


Kilicman, Adem and Borgohain, Stuti and Kucukaslan, Mehmet (2019) Some Tauberian conditions on logarithmic density. Advances in Difference Equations, 424. pp. 1-9. ISSN 1687-1839; ESSN: 1687-1847


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)-summability theorems. Hardy’s and Landau’s Tauberian theorems to the statistical convergence, which was introduced by Fast long back in 1951, have been extended by J.A. Fridy and M.K. Khan (Proc. Am. Math. Soc. 128:2347–2355, 2000) in recent years. In this article we try to generalize some Tauberian conditions on logarithmic statistical convergence and logarithmic (V,λ)-statistical convergence, and we find some new results on it.

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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1186/s13662-019-2355-2
Publisher: SpringerOpen
Keywords: Statistical convergence; λ-convergence; de la Vallee Poussin mean; Logarithmic densit
Depositing User: Mr. Sazali Mohamad
Date Deposited: 16 Dec 2020 00:55
Last Modified: 16 Dec 2020 00:55
Altmetrics: http://www.altmetrics.com/details.php?domain=pasir.upm.edu.my&doi=10.1186/s13662-019-2355-2
URI: http://psasir.upm.edu.my/id/eprint/82214
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