APPROXIMATION BY BASKAKOV-DURRMEYER OPERATORS BASED ON (p, q)-INTEGERS

Küçük Resim Yok

Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

WALTER DE GRUYTER GMBH

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In the present paper, we introduce a new sequence of linear positive operators based on (p, q)-integers. To approximate functions over unbounded intervals, we introduce Baskakov-Durrmeyer type operators using the (p, q)-Gamma function. We investigate rate of convergence of new operators in terms of modulus of continuities and obtain their approximation behavior for the functions belonging to Lipschitz class. At the end, we present a modification of new operators preserving the test function x. (C) 2018 Mathematical Institute Slovak Academy of Sciences

Açıklama

Anahtar Kelimeler

(p, q)-integers, (p, q)-Gamma function, (p, q)-Baskakov-Durrmeyer operators, rate of convergence

Kaynak

MATHEMATICA SLOVACA

WoS Q Değeri

Q4

Scopus Q Değeri

Q2

Cilt

68

Sayı

4

Künye