Some approximation properties of bivariate Bleimann-Butzer and Hahn operators based on (p,q)-integers

Autor:	Mursaleen, M., Nasiruzzaman, Md.
Rok vydání:	2015
Předmět:	Mathematics - Classical Analysis and ODEs 41A10 41A25 41A36 40A30
Druh dokumentu:	Working Paper
Popis:	Recently, Mursaleen et al applied (p,q)-calculus in approximation theory and introduced (p,q)-analogue of Bernstein operators in [16]. In this paper, we construct and introduce a generalization of the bivariate Bleimann-Butzer-Hahn operators based on (p,q)-integers and obtain Korovkin type approximation theorem of these operators. Furthermore, we compute the rate of convergence of the operators by using the modulus of continuity and Lipschitz type maximalfunctions. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1506.02487 Zobrazit plný text záznamu View this record from Arxiv