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 by Bernstein-Chlodowsky operators of max-product kind

We dene the max-product (nonlinear) Bernstein-Chlodowsky operators andobtain some upper estimates of approximation error for some subclasses of functions. Wealso investigate the shape-preserving properties for these operators

On a general class of q-rational type operators

In this study, we define a general class of rational type operators based on q-calculus and investigate the weighted approximation properties of these operators by using A-statistical convergence. We also estimate the rates of A-statistical convergence of these operators by modulus of continuity and Petree's K-functional. The operators to be introduced, include some well known q-operators so our results are true in a large spectrum of these operators

On simultaneous approximation for some modified Bernstein-type operators

We study the simultaneous approximation for a certain variant of Bernstein-type operators

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 by (p,q)-Analogue of Balazs-Szabados Operators

In the present paper, we introduce a generalization of Balazs-Szabados operators by means of (p,q)-calculus. We give the rate of convergence of Balazs-Szabados operators on based (p,q)-integrers by using Lipschitz class function and the Peetre's K-functional. We give the degree of asymptotic approximation by means of Voronoskaja type theorem. Further, we give some comparisons associated the convergence of Balazs-Szabados, q- Balazs-Szabados and (p,q)-Balazs-Szabados operators to certain functions by illustrations. Moreover, we investigate the properties of the weighted approximation for these operators

On Kantorovich process of a sequence of the generalized linear positive operators

WOS: 000256972400005We define the Kantorovich variant of the generalized linear positive operators introduced by Ibragimov and Gadjiev in 1970. We investigate direct approximation result for these operators on p-weighted integrable function spaces and also estimate their rate of convergence for absolutely continuous functions having a derivative coinciding a.e., with a function of bounded variation

Approximation by Bernstein-Chlodowsky operators of max-product kind

We define max-product (nonlinear) Bernstein-Chlodowsky operators and obtain some upper estimates of approximation error for some subclasses of functions. We also investigate the shape-preserving properties for these operators