Generalized ( p , q ) $(p,q)$ -Bleimann-Butzer-Hahn operators and some approximation results

Bleimann, Butzer, and Hahn Operators Based on the q-Integers

We give a new generalization of Bleimann, Butzer, and Hahn operators, which includes qintegers.We investigate uniform approximation of these new operators on some subspace of bounded and continuous functions. In Section 3, we show that the rates of convergence of the new operators in uniform norm are better than the classical ones. We also obtain a pointwise estimation in a general Lipschitz-ty...

Approximation Properties of Bivariate Generalization of Bleimann, Butzer and Hahn Operators Based on the q-Integers

They investigated pointwise convergence properties of (1) in a compact sub-interval of [0,∞). Then Gadjiev and Çakar [2] obtained uniform convergence of (1) on semi-axis [0,∞) on some subspace of bounded and continuous functions by using the test functions ( x 1+x) ν , ν = 0, 1, 2. In 1996 q-based generalization of the classical Bernstein polynomials were introduced by G. M. Phillips [3]. He ha...

Approximation of bounded variation functions by a Bézier variant of the Bleimann, Butzer, and Hahn operators

Generalized \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(p,q)$\end{document}(p,q)-Bleimann-Butzer-Hahn operators and some approximation results

*Correspondence: [email protected] 1Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India 2Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia Full list of author information is available at the end of the article Abstract The aim of this paper is to intro...

On the Approximation of Locally Bounded Functions by Operators of Bleimann, Butzer and Hahn

We estimate the rate of the pointwise approximation by operators of Bleimann, Butzer and Hahn of locally bounded functions, and of functions having a locally bounded derivative.