Applications of (p,q)-gamma function to Szász Durrmeyer operators

Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type

The present paper introduces the Szász-Durrmeyer type operators based on Boas-Buck type polynomials which include Brenke type polynomials, Sheffer polynomials and Appell polynomials considered by Sucu et al. (Abstr. Appl. Anal. 2012:680340, 2012). We establish the moments of the operator and a Voronvskaja type asymptotic theorem and then proceed to studying the convergence of the operators with...

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...

Quantitative-Voronovskaya and Grüss-Voronovskaya type theorems for Szász-Durrmeyer type operators blended with multiple Appell polynomials

In this paper, we establish a link between the Szász-Durrmeyer type operators and multiple Appell polynomials. We study a quantitative-Voronovskaya type theorem in terms of weighted modulus of smoothness using sixth order central moment and Grüss-Voronovskaya type theorem. We also establish a local approximation theorem by means of the Steklov means in terms of the first and the second order mo...

Modified double Szász - Mirakjan operators preserving x

In this paper, we introduce a modification of the Szász-Mirakjan type operators of two variables which preserve f0 (x, y) = 1 and f3 (x, y) = x 2 + y. We prove that this type of operators enables a better error estimation on the interval [0,∞) × [0,∞) than the classical Szász-Mirakjan type operators of two variables. Moreover, we prove a Voronovskaya-type theorem and some differential propertie...

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