Tauberian theorems concerning weighted mean summable integrals
| dc.authorscopusid | 57204939907 | |
| dc.authorscopusid | 10140301300 | |
| dc.contributor.author | Sezer, S.A. | |
| dc.contributor.author | Çanak, İ. | |
| dc.date.accessioned | 2024-08-25T18:32:00Z | |
| dc.date.available | 2024-08-25T18:32:00Z | |
| dc.date.issued | 2023 | |
| dc.department | Ege Üniversitesi | en_US |
| dc.description.abstract | Let p be a positive real-valued continuous function on R+ such that the function P(x)=?0xp(t)dt,x>0,is regularly varying with a positive index in the Karamata sense. For a real- or complex-valued continuous function f on R+, we define s(x)=?0xf(y)dyand?p(x)=1P(x)?0xs(y)p(y)dy.It is known that if the finite limit lim x??s(x) = L exists, then so does lim x???p(x) = L. In this paper, we introduce some Tauberian conditions in terms of the weighted classical control modulo and the weighted general control modulo of order one under which the converse implication and its extensions hold. Our results generalize some classical type Tauberian theorems existing in the literature. © 2023, Akadémiai Kiadó, Budapest, Hungary. | en_US |
| dc.identifier.doi | 10.1007/s10998-023-00519-4 | |
| dc.identifier.issn | 0031-5303 | |
| dc.identifier.scopus | 2-s2.0-85152670228 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s10998-023-00519-4 | |
| dc.identifier.uri | https://hdl.handle.net/11454/100095 | |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Akademiai Kiado ZRt. | en_US |
| dc.relation.ispartof | Periodica Mathematica Hungarica | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.snmz | 20240825_G | en_US |
| dc.subject | Classical control modulo | en_US |
| dc.subject | General control modulo | en_US |
| dc.subject | Regularly varying functions | en_US |
| dc.subject | Tauberian theorems and conditions | en_US |
| dc.subject | Weighted mean summability of integrals | en_US |
| dc.title | Tauberian theorems concerning weighted mean summable integrals | en_US |
| dc.type | Article | en_US |
