Some Tauberian conditions on logarithmic density
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 s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/82214/1/Some%20Tauberian%20.pdf |
| _version_ | 1825951543329816576 |
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| author | Kilicman, Adem Borgohain, Stuti Kucukaslan, Mehmet |
| author_facet | Kilicman, Adem Borgohain, Stuti Kucukaslan, Mehmet |
| author_sort | Kilicman, Adem |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T10:31:34Z |
| format | Article |
| id | upm.eprints-82214 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:31:34Z |
| publishDate | 2019 |
| publisher | SpringerOpen |
| record_format | dspace |
| spelling | upm.eprints-822142020-12-16T00:55:25Z http://psasir.upm.edu.my/id/eprint/82214/ Some Tauberian conditions on logarithmic density Kilicman, Adem Borgohain, Stuti Kucukaslan, Mehmet 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. SpringerOpen 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/82214/1/Some%20Tauberian%20.pdf 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 https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-019-2355-2 10.1186/s13662-019-2355-2 |
| spellingShingle | Kilicman, Adem Borgohain, Stuti Kucukaslan, Mehmet Some Tauberian conditions on logarithmic density |
| title | Some Tauberian conditions on logarithmic density |
| title_full | Some Tauberian conditions on logarithmic density |
| title_fullStr | Some Tauberian conditions on logarithmic density |
| title_full_unstemmed | Some Tauberian conditions on logarithmic density |
| title_short | Some Tauberian conditions on logarithmic density |
| title_sort | some tauberian conditions on logarithmic density |
| url | http://psasir.upm.edu.my/id/eprint/82214/1/Some%20Tauberian%20.pdf |
| work_keys_str_mv | AT kilicmanadem sometauberianconditionsonlogarithmicdensity AT borgohainstuti sometauberianconditionsonlogarithmicdensity AT kucukaslanmehmet sometauberianconditionsonlogarithmicdensity |