Quantitative estimates for a certain bivariate Chlodowsky-Szasz-Kantorovich type operators

In this paper, we introduce a bivariate Kantorovich variant of the combination of Chlodowsky and Szasz type operators and study local approximation properties of these operators. We estimate the approximation order in terms of Peetre’s K-functional and partial moduli of continuity. We also give some numerical error estimates and illustrations

Approximation Properties for Stancu Type q−Baskakov- Kantorovich Operators

Abstract: In this paper, we give an interesting generalization of the Stancu type Baskakov-Kantorovich operators based on the q-integers and investigate their approximation properties. Also, we obtain the estimates for the rate of convergence for a sequence of them by the weighted modulus of smoothness

Ibragimov–Gadjiev operators based on q-integers

Abstract In this paper, we define the q-analogue of the generalized linear positive operators introduced by Ibragimov and Gadjiev in 1970. We study some approximation properties of these new operators, and we show that this sequence of operators is a generalization of well-known q-Bernstein, q-Chlodowsky, and q-Szász–Mirakyan operators as a particular case

Approximation by Certain Linear Positive Operators of Two Variables

We introduce positive linear operators which are combined with the Chlodowsky and Szász type operators and study some approximation properties of these operators in the space of continuous functions of two variables on a compact set. The convergence rate of these operators are obtained by means of the modulus of continuity. And we also obtain weighted approximation properties for these positive linear operators in a weighted space of functions of two variables and find the convergence rate for these operators by using the weighted modulus of continuity

On approximation process by certain modified Dunkl generalization of Szasz-Beta type operators

Karateke, Seda (Arel Author)In this paper, we give a generalization of the Szasz-Beta type operators generated by Dunkl generalization of exponential function and obtain convergence properties of these operators by using Korovkin's theorem and weighted Korovkin-type theorem. We also establish the order of convergence by using the modulus of smoothness and the weighted modulus of continuity