Some tauberian conditions for the weighted mean method of summability
dc.contributor.author | Totur Ü. | |
dc.contributor.author | Çanak İ. | |
dc.date.accessioned | 2019-10-27T08:04:40Z | |
dc.date.available | 2019-10-27T08:04:40Z | |
dc.date.issued | 2017 | |
dc.department | Ege Üniversitesi | en_US |
dc.description.abstract | Let p = (pn) be a sequence of nonnegative numbers and Pn:= ?n k=0 pk › ? as n › ?. Let the weighted general control modulo of the oscillatory behavior of integer order m ? 1 of a sequence (un) be denoted by (?n,p (m) (u)). We prove that if the weighted generator sequence of a sequence u = (un) of real numbers is summable to a finite number by the weighted mean method, (?(1) n,p(?(m-1) (u))) is increasing, the conditions (Formula presented) are satisfied, and certain conditions on (pn) are hold, then (un) is slowly oscillating. © 2018, Universitatii Al.I.Cuza din Iasi. All rights reserved. | en_US |
dc.identifier.doi | 10.1016/j.camwa.2011.12.005 | |
dc.identifier.issn | 1221-8421 | |
dc.identifier.issn | 1221-8421 | en_US |
dc.identifier.issue | F3 | en_US |
dc.identifier.scopusquality | Q4 | en_US |
dc.identifier.uri | https://doi.org/10.1016/j.camwa.2011.12.005 | |
dc.identifier.uri | https://hdl.handle.net/11454/25549 | |
dc.identifier.volume | 63 | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | Sciendo | en_US |
dc.relation.ispartof | Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Slowly decreasing sequence | en_US |
dc.subject | Tauberian theorems | en_US |
dc.subject | Weighted general control modulo | en_US |
dc.subject | Weighted means | en_US |
dc.title | Some tauberian conditions for the weighted mean method of summability | en_US |
dc.type | Article | en_US |