Statistical Approximation Properties Research Articles

Statistical approximation by a modification of [formula omitted]-Meyer-König and Zeller operators

In this work, we introduce a modification of the q -Meyer-König and Zeller operators, and investigate the Korovkin type statistical approximation properties of this modification via A -statistical convergence. Also we prove that this modification provides a better estimation than the q -MKZ operators on the interval [ α n , 1 ) ⊂ [ 1 2 , 1 ) by means of the modulus of continuity.

On statistical approximation of a general class of positive linear operators extended in q-calculus

In this paper we present a general class of positive linear operators of discrete type based on q-calculus and we investigate their weighted statistical approximation properties by using a Bohman–Korovkin type theorem. We also mark out two particular cases of this general class of operators.

Statistical approximation properties of q-Bleimann, Butzer and Hahn operators

The main aim of this study is to introduce a new generalization of q-Bleimann, Butzer and Hahn operators and obtain statistical approximation properties of these operators with the help of the Korovkin type statistical approximation theorem. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function are also established. Our results show that rates of convergence of our operators are at least as fast as classical BBH operators. The second aim of this study is to construct a bivariate generalization of the operator and also obtain the statistical approximation properties.

Statistical approximation by Stancu type bivariate generalization of Meyer-König and Zeller type operators

The main aim of this study is to introduce a new generalization of Meyer-König and Zeller type operators in order to improve the rate of statistical convergence. The second purpose of this study is to introduce a Stancu type bivariate generalization of the operator defined in this note. Using statistical convergence, we will also give the statistical approximation properties and Popoviciu type rate of convergence of these operators.

Orthodontics in Santa Clara County under the Crippled Children's Act

In the present paper, we consider Stancu type generalization of Baskakov–Szász operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function are also established for operators.