Some Tauberian conditions on logarithmic density
Abstract 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) $(V,\lambda )$-summability theorems. Hardy’s and Landau’s Tau...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-10-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2355-2 |
| _version_ | 1828826519708893184 |
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| author | Adem Kılıçman Stuti Borgohain Mehmet Küçükaslan |
| author_facet | Adem Kılıçman Stuti Borgohain Mehmet Küçükaslan |
| author_sort | Adem Kılıçman |
| collection | DOAJ |
| description | Abstract 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) $(V,\lambda )$-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) $(V,\lambda )$-statistical convergence, and we find some new results on it. |
| first_indexed | 2024-12-12T14:40:41Z |
| format | Article |
| id | doaj.art-29221936064b4433ad19c0f0c4d60102 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-12T14:40:41Z |
| publishDate | 2019-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-29221936064b4433ad19c0f0c4d601022022-12-22T00:21:14ZengSpringerOpenAdvances in Difference Equations1687-18472019-10-01201911910.1186/s13662-019-2355-2Some Tauberian conditions on logarithmic densityAdem Kılıçman0Stuti Borgohain1Mehmet Küçükaslan2Department of Mathematics and Institute for Mathematical Research, University of Putra MalaysiaDepartment of Mathematics, Institute of Chemical TechnologyDepartment of Mathematics, Mersin UniversityAbstract 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) $(V,\lambda )$-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) $(V,\lambda )$-statistical convergence, and we find some new results on it.http://link.springer.com/article/10.1186/s13662-019-2355-2Statistical convergenceλ-convergencede la Vallee Poussin meanLogarithmic density |
| spellingShingle | Adem Kılıçman Stuti Borgohain Mehmet Küçükaslan Some Tauberian conditions on logarithmic density Advances in Difference Equations Statistical convergence λ-convergence de la Vallee Poussin mean 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 |
| topic | Statistical convergence λ-convergence de la Vallee Poussin mean Logarithmic density |
| url | http://link.springer.com/article/10.1186/s13662-019-2355-2 |
| work_keys_str_mv | AT ademkılıcman sometauberianconditionsonlogarithmicdensity AT stutiborgohain sometauberianconditionsonlogarithmicdensity AT mehmetkucukaslan sometauberianconditionsonlogarithmicdensity |