Приказ основних података о дисертацији
B(r, s, t, u) - dvostruko sumabilni prostori nizova i matrične transformacije
dc.contributor.advisor | Rakočević, Vladmir R. | |
dc.contributor.other | Milovanović, Gradimir V. | |
dc.contributor.other | Đorđević, Dragan S. | |
dc.contributor.other | Malkowsky, Eberhard | |
dc.contributor.other | Đolović, Ivana | |
dc.creator | Tuğ, Orhan A. | |
dc.date.accessioned | 2020-02-28T09:08:52Z | |
dc.date.available | 2020-02-28T09:08:52Z | |
dc.date.available | 2020-07-03T16:12:58Z | |
dc.date.issued | 2019-10-17 | |
dc.identifier.uri | https://nardus.mpn.gov.rs/handle/123456789/12150 | |
dc.identifier.uri | http://eteze.ni.ac.rs/application/showtheses?thesesId=7303 | |
dc.identifier.uri | https://fedorabg.bg.ac.rs/fedora/get/o:1628/bdef:Content/download | |
dc.identifier.uri | http://vbs.rs/scripts/cobiss?command=DISPLAY&base=70052&RID=1025838313 | |
dc.description.abstract | In this dissertation, some new double sequence spaces derived as the domain of the four-dimensional generalized difference matrix are investigated. In the first chapter; literature review and some needed definitions and theorems are given for the following chapters. In the second chapter; we investigate the double sequence and series spaces with their basic properties which are used in the following chapters. In the third chapter we define the four-dimensional generalized difference matrix B(r; s; t; u) and new double sequence spaces are introduced as the domain of that matrix. In the fourth chapter; we study those new spaces and calculate their beta and gamma dual. In the fifth chapter; four-dimensional matrix transformations on the new spaces are studied in terms of four-dimensional dual summability methods for double sequences. Moreover, the characterization of some new four-dimensional matrix classes is also given. In the sixth chapter; as an application, the subclasses of compact operators on our new spaces were characterized by applying the Hausdorff measure of noncompactness of operators on B-summable double sequence spaces. In the seventh chapter; results of this thesis and some related open problems were stated. | en |
dc.format | application/pdf | |
dc.language | sr | |
dc.publisher | Универзитет у Нишу, Природно-математички факултет | sr |
dc.rights | openAccess | en |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.source | Универзитет у Нишу | sr |
dc.subject | Funkcionalna analiza | sr |
dc.subject | Functional Analysis | en |
dc.subject | Summability | en |
dc.subject | Matrix Domain | en |
dc.subject | Double Sequence Spaces | en |
dc.subject | Sumabilnost | sr |
dc.subject | Matrični domeni | sr |
dc.subject | Prostori dvostrukih nizova | sr |
dc.title | B(r, s, t, u) - dvostruko sumabilni prostori nizova i matrične transformacije | sr |
dc.type | doctoralThesis | en |
dc.rights.license | BY-NC-ND | |
dc.identifier.fulltext | http://nardus.mpn.gov.rs/bitstream/id/54555/Disertacija_NaRDUS.pdf | |
dc.identifier.fulltext | http://nardus.mpn.gov.rs/bitstream/id/54556/Tug_Orhan_A.pdf | |
dc.identifier.fulltext | https://nardus.mpn.gov.rs/bitstream/id/54556/Tug_Orhan_A.pdf | |
dc.identifier.fulltext | https://nardus.mpn.gov.rs/bitstream/id/54555/Disertacija_NaRDUS.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_nardus_12150 |