Approximation of functions of two variables by certain linear positive operators

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Küçük Resim

Tarih

2007

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer India

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables. We also find the order of this approximation by using modulus of continuity. Moreover we define an rth order generalization of these operators and observe its approximation properties. Furthermore, we study the convergence of the linear positive operators in a weighted space of functions of two variables and find the rate of this convergence using weighted modulus of continuity.

Açıklama

Bascanbaz-Tunca, Gulen/0000-0003-3216-1661;

Anahtar Kelimeler

linear positive operator, modulus of continuity, order of approximation, polynomial weighted spaces

Kaynak

Proceedings Of The Indian Academy Of Sciences-Mathematical Sciences

WoS Q Değeri

Q4

Scopus Q Değeri

Cilt

117

Sayı

3

Künye

closedAccess