Simultaneous approximation for Bézier variant of Szász–Mirakyan–Durrmeyer operators
نویسنده
چکیده
We study the rate of convergence in simultaneous approximation for the Bézier variant of Szász– Mirakyan–Durrmeyer operators by using the decomposition technique of functions of bounded variation. © 2006 Elsevier Inc. All rights reserved.
منابع مشابه
CONVERGENCE ESTIMATES OF CERTAIN q–BETA–SZÁSZ TYPE OPERATORS
The applications of q calculus in operator theory is an active area of research in the last two decades. Several new q -operators were introduced and their approximation behavior were discussed. This paper is extension of the paper [South. Asian Bul. Math. (36) (2012), 343–352]. We propose here the Stancu variant of q -Beta-Szász type operators. We estimate the moments and also establish direct...
متن کامل( p,q)-Genuine Baskakov-Durrmeyer operators
In the present article, we propose the $(p,q)$ variant of genuine Baskakov Durrmeyer operators. We obtain moments and establish some direct results, which include weighted approximation and results in terms of modulus of continuity of second order.
متن کاملDirect Estimations of New Generalized Baskakov–szász Operators
Abstract. Several modifications of the discrete operators are available in the literature. In the recent years, certain modifications of the well-known Baskakov and Szász–Mirakyan operators have been discussed based on certain parameters. We propose mixed summation-integral type operators and estimate the quantitative asymptotic formula and a global direct result for the special case. For gener...
متن کاملOn the Rates of Convergence of Chlodovsky–durrmeyer Operators and Their Bézier Variant
We consider the Bézier variant of Chlodovsky–Durrmeyer operators Dn,α for functions f measurable and locally bounded on the interval [0,∞). By using the Chanturia modulus of variation we estimate the rate of pointwise convergence of (Dn,αf) (x) at those x > 0 at which the one-sided limits f(x+), f(x−) exist. In the special case α = 1 the recent result of [14] concerning the Chlodovsky–Durrmeyer...
متن کاملApproximation properties of Szász type operators based on Charlier polynomials
In the present paper, we study some approximation properties of the Szász type operators involving Charlier polynomials introduced by Varma and Taşdelen in 2012. First, we establish approximation in a Lipschitz type space and weighted approximation theorems for these operators. Then we obtain the error in the approximation of functions having derivatives of bounded variation.
متن کامل