Characterizations of Unconditionally Convergent Andweakly Unconditionally Cauchy Series Via Wrp -Summability, Orlicz-Pettis Type Theorems and Compact Summing Operator

dc.contributor.author Karakus, Mahmut
dc.contributor.author Basar, Feyzi
dc.date.accessioned 2025-05-10T17:37:18Z
dc.date.available 2025-05-10T17:37:18Z
dc.date.issued 2022
dc.description.abstract In the present paper, we give a new characterization of unconditional convergent series and give some new versions of the Orlicz-Pettis theorem via FQ s-family and a natural family F with the separation property S1 through wRp -summability which may be considered as a generalization of the well-known strong p-Ces`aro summability. Among other results, we obtain a new (weak) compactness criteria for the summing operator. en_US
dc.identifier.doi 10.2298/FIL2218347K
dc.identifier.issn 0354-5180
dc.identifier.scopus 2-s2.0-85146816852
dc.identifier.uri https://doi.org/10.2298/FIL2218347K
dc.identifier.uri https://hdl.handle.net/20.500.14720/14321
dc.language.iso en en_US
dc.publisher Univ Nis, Fac Sci Math en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.title Characterizations of Unconditionally Convergent Andweakly Unconditionally Cauchy Series Via Wrp -Summability, Orlicz-Pettis Type Theorems and Compact Summing Operator en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.scopusid 57192188484
gdc.author.scopusid 55908183200
gdc.author.wosid Başar, Feyzi/X-4419-2019
gdc.author.wosid Karakuş, Mahmut/Hhy-8747-2022
gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.description.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
gdc.description.departmenttemp [Karakus, Mahmut] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65100 Van, Turkey; [Basar, Feyzi] Inonu Univ, Dept Primary Math Teacher Educ, TR-44280 Malatya, Turkey; Dumlupinar Mah,Hizirbey Cad,Binyil Apt 179-181, TR-34730 Kadikoy, Turkey en_US
gdc.description.endpage 6358 en_US
gdc.description.issue 18 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q3
gdc.description.startpage 6347 en_US
gdc.description.volume 36 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q3
gdc.identifier.wos WOS:000971825000022
gdc.index.type WoS
gdc.index.type Scopus

Files