Convergence estimates of certain q-Beta-Szász type operators

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...

Generalized Baskakov-Szász type operators

Keywords: Baskakov-Szász operators Modulus of continuity Asymptotic formula Simultaneous approximation Statistical convergence Bounded variation a b s t r a c t In the present paper, we introduce generalized Baskakov-Szász type operators and study some approximation properties of these operators e.g., rate of convergence in ordinary and simultaneous approximation, statistical convergence and th...

On certain q-Durrmeyer type operators

Deo [5] introduced n-th Durrmeyer operators defined for functions integrable in some interval I. There are gaps and mistakes in some of his lemmas and theorems. Further, in his paper [4] he did not give results on simultaneous approximation as the title reveals. The purpose of this paper is to correct those mistakes. AMS subject classifications: 41A25, 41A30

Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators

Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials

The present paper deals with the approximation properties of the univariate operators which are the generalization of the Kantorovich-Szász type operators involving Brenke type polynomials. We investigate the order of convergence by using Peetre's K-functional and the Ditzian-Totik modulus of smoothness and study the degree of approximation of the univariate operators for continuous functions i...