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Modified double Szász-Mirakjan operators preserving x2+y2

Fadime Dirik ; Department of Mathematics, Faculty of Arts and Sciences, Sinop University, Sinop, Turkey
Kamil Demirci ; Department of Mathematics, Faculty of Arts and Sciences, Sinop University, Sinop, Turkey


Puni tekst: engleski pdf 231 Kb

str. 177-188

preuzimanja: 863

citiraj


Sažetak

In this paper, we introduce a modification of the Sz\'{a}sz-Mirakjan type operators of two variables which preserve f0(x,y)=1 and We prove that this type of operators enables a better error estimation on the interval [0,)×[0,) than the classical Sz\'{a}sz-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 Sz\'{a}sz-Mirakjan type operators.

Ključne riječi

Szász-Mirakjan type operators; A-statistical convergence; the Korovkin-type approximation theorem; modulus of continuity

Hrčak ID:

53220

URI

https://hrcak.srce.hr/53220

Datum izdavanja:

10.6.2010.

Posjeta: 1.576 *

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