Discrete fractional integral operators and their relations to number theory

Sert, Ezgi

Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6970

Title:	Discrete fractional integral operators and their relations to number theory
Other Titles:	Ayrık kesirli integral operatörleri ve sayılar teorisi ile ilişkileri
Authors:	Sert, Ezgi
Advisors:	Temur, Faruk
Keywords:	Number theory Fourier analysis Discrete fractional integral operators
Publisher:	Izmir Institute of Technology
Source:	Sert, E. (2018). Discrete fractional integral operators and their relations to number theory. Unpublished master's thesis, Izmir Institute of Technology, Izmir, Turkey
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. 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.
Description:	Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2018 Includes bibliographical references (leaves: 45) Text in English; Abstract: Turkish and English
URI:	http://hdl.handle.net/11147/6970
Appears in Collections:	Master Degree / Yüksek Lisans Tezleri