Szasz and Phillips Operators Based on q-Integers

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dc.contributor.author	Kaffaoğlu, Havva
dc.date.accessioned	2012-12-14T11:08:21Z
dc.date.available	2012-12-14T11:08:21Z
dc.date.issued	2011
dc.identifier.citation	Kaffaoglu, Havva. (2011). Szasz and Phillips Operators Based on q-Integers. Thesis (Ph.D.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.	en_US
dc.identifier.uri	http://hdl.handle.net/11129/230
dc.description	Doctor of Philosophy in Applied Mathematics and Computer Science. Thesis (Ph.D.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2011. Supervisor: Prof. Dr. Nazım Mahmudov.	en_US
dc.description.abstract	ABSTRACT: In this thesis, q-Szász-Durrmeyer (0 < q < 1) and q-Phillips (q > 0) operators are defined and some properties of these operators are studied. More precisely, local approximation results for continuous functions in terms of modulus of continuity are proved and Voronovskaja type asymptotic results are investigated. Keywords: q-Szász-Durrmeyer operators, k-functional, modulus of continuity, qcalculus, q-Phillips operators, q-integers, q-gamma functions, rate of convergence, qintegral. …………………………………………………………………………………………………………………………………………………………………………………………………………………… ÖZ: Bu tezde, q-Szász-Durrmeyer ( 0 < q < 1) ve q-Phillips ( q > 0 ) operatörleri tanımlanmış ve bu operatörlerin bazı özellikleri incelenmiştir. Daha açık olarak, süreklilik modülü cinsinden, sürekli fonksiyonlar için yerel yaklaşım sonuçları ispatlanmış ve Voronovskaja tipli asimtotik sonuçlar incelenmiştir. Anahtar kelimeler: q-Szazs-Durrmeyer operatörleri, k-fonksiyonel, süreklilik modülü, q-hesap, q-Phillips operatörleri, q-tamsayılar, q-gamma fonksiyonları, yakınsama hızı, q-integral.	en_US
dc.language.iso	en	en_US
dc.publisher	Eastern Mediterranean University (EMU)	en_US
dc.subject	Applied Mathematics and Computer Science	en_US
dc.subject	Q-Szasz - Durrmeyer Operators - K-Functional - Modulus of Continuity - Q-Calculus - Q-Phillips Operators	en_US
dc.subject	Q-Integers - Q-Gamma Functions - Rate of Convergence - Q-Integral	en_US
dc.title	Szasz and Phillips Operators Based on q-Integers	en_US
dc.type	Thesis	en_US