Some Approximation Results on $\lambda-$ Szasz-Mirakjan-Kantorovich Operators

Some approximation results for generalized Kantorovich-type operators

*Correspondence: [email protected] 2Department of Mathematics, Faculty of Science, University Putra Malaysia (UPM), Serdang, Selangor Darul Ehsan 4300, Malaysia Full list of author information is available at the end of the article Abstract In this paper, we construct a new family of operators, prove some approximation results in A-statistical sense and establish some direct theorems f...

Quantitative Global Estimates for Generalized Double Szasz-Mirakjan Operators

SOME APPROXIMATION RESULTS FOR BERNSTEIN-KANTOROVICH OPERATORS BASED ON (p, q)-CALCULUS

In this paper, a new analogue of Bernstein-Kantorovich operators as (p, q)-Bernstein-Kantorovich operators are introduced. We discuss approximation properties for these operators based on Korovkin’s type approximation theorem and we compute the order of convergence using usual modulus of continuity and also the rate of convergence when the function f belongs to the class LipM (α). Moreover, the...

Approximation properties of Beta-Szasz-Stancu operators

The application 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 was discussed. In the present paper, we study the Stancu type generalization of Beta-Szasz type operators for their q-analogues. We obtain moments and convergence results in terms of higher order modulus of continuity. A...

On Modified Szasz–mirakyan Operators

We consider certain modifications of Szasz-Mirakyan operators Sn in exponential weighted spaces Cq of continuous functions and operators Tn in L p spaces of Lebesgue integrable functions. We give theorems on approximation properties of these operators. AMS Mathematics Subject Classification (2000): 41A36