Discrete Fractional Integral Operators and Their Relations To Number Theory
| dc.contributor.advisor | Temur, Faruk | |
| dc.contributor.author | Sert, Ezgi | |
| dc.date.accessioned | 2018-11-08T06:46:56Z | |
| dc.date.available | 2018-11-08T06:46:56Z | |
| dc.date.issued | 2018 | |
| dc.description | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2018 | en_US |
| dc.description | Includes bibliographical references (leaves: 45) | en_US |
| dc.description | Text in English; Abstract: Turkish and English | en_US |
| dc.description.abstract | The aim of this thesis is to get estimates on discrete fractional integral operators by using number theory. These operators, starting with the studies of Arkipov and Oskolkov, have been investigated for a long time. Fourier analysis and topics related to it have been used in these studies. However, this study will put forward new results on these operators with the help of arithmetic. | en_US |
| dc.description.abstract | Bu tezin amacı sayılar teorisini kullanarak ayrık kesirli integral operatörleri hakkında eşitsizlikler elde etmektir. Bu operatörler Arkipov ve Oskolkov’un çalışmalarından beri incelenmektedir. Fourier analizi ve ilgili konular bu çalışmalarda kullanılmaktadır. Ancak, bu çalışma aritmetiğin yardımıyla operatörler hakkında yeni sonuçlar elde edecektir. | en_US |
| dc.format.extent | vi, 45 leaves | |
| dc.identifier.citation | Sert, E. (2018). Discrete fractional integral operators and their relations to number theory. Unpublished master's thesis, Izmir Institute of Technology, Izmir, Turkey | en_US |
| dc.identifier.uri | https://hdl.handle.net/11147/6970 | |
| dc.language.iso | en | en_US |
| dc.publisher | Izmir Institute of Technology | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Number theory | en_US |
| dc.subject | Fourier analysis | en_US |
| dc.subject | Discrete fractional integral operators | en_US |
| dc.title | Discrete Fractional Integral Operators and Their Relations To Number Theory | en_US |
| dc.title.alternative | Ayrık Kesirli İntegral Operatörleri ve Sayılar Teorisi ile İlişkileri | en_US |
| dc.type | Master Thesis | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Sert, Ezgi | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::thesis::master thesis | |
| gdc.description.department | Thesis (Master)--İzmir Institute of Technology, Mathematics | en_US |
| gdc.description.publicationcategory | Tez | en_US |
| gdc.description.scopusquality | N/A | |
| gdc.description.wosquality | N/A | |
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