Modified double Szasz-Mirakjan operators preserving x2 + y2

dc.contributor.author	Dirik, Fadime
dc.contributor.author	Demirci, Kamil
dc.date.accessioned	2014-08-11T11:06:27Z
dc.date.available	2014-08-11T11:06:27Z
dc.date.issued	2010
dc.description.abstract	In this paper, we introduce a modifcation of the Szasz-Mirakjan type operators of two variables which preserve f0 (x; y) = 1 and f3 (x; y) = x2 + y2: We prove that this type of operators enables a better error estimation on the interval [0;1) £ [0;1) than the classical Szasz-Mirakjan type operators of two variables. Moreover, we prove a Voronovskaya-type theorem and some differential properties for derivatives of these modified operators. Finally, we also study statistical convergence of the sequence of modified Szasz-Mirakjan type operators. AMS subject classifications: 41A25, 41A36
dc.identifier.citation	Dirik, F., Demirci, K. "Modified double Szasz-Mirakjan operators preserving x2 + y2". Mathematical Communications. Vol. 15, No. 1, pp. 177-188 (2010).
dc.identifier.uri	https://hdl.handle.net/11486/270
dc.identifier.wos	WOS:000278601800015
dc.language.iso	en
dc.publisher	Mathematical Communications
dc.relation.publicationcategory	Makale - Kategorisiz
dc.subject	Szasz-Mirakjan type operators
dc.subject	A-statistical convergence
dc.subject	The Korovkin-type approximation theorem
dc.subject	Modulus of continuity
dc.title	Modified double Szasz-Mirakjan operators preserving x2 + y2
dc.type	Article