QUANTITATIVE ESTIMATES FOR GENERALIZED TWO DIMENSIONAL BASKAKOV OPERATORS

Inverse Estimates for Lupas-Baskakov Operators

We establish Stechkin-Marchaud-type inequalities for some Feller operators by using some modified Ditzian-Totik modulus of smooth -ness. Then we derive some inverse results for this family of operators. Moreover combining the inverse results with the direct estimates we obtain a approximation equivalent theorem.

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 Global Estimates for Generalized Double Szasz-Mirakjan Operators

Direct Estimations of New Generalized Baskakov–szász Operators

Abstract. Several modifications of the discrete operators are available in the literature. In the recent years, certain modifications of the well-known Baskakov and Szász–Mirakyan operators have been discussed based on certain parameters. We propose mixed summation-integral type operators and estimate the quantitative asymptotic formula and a global direct result for the special case. For gener...

On the Rate of Convergence by Generalized Baskakov Operators

We firstly construct generalized Baskakov operators V n,α,q (f; x) and their truncated sum B n,α,q (f; γ n , x). Secondly, we study the pointwise convergence and the uniform convergence of the operators V n,α,q (f; x), respectively, and estimate that the rate of convergence by the operators V n,α,q (f; x) is 1/n. Finally, we study the convergence by the truncated operators B n,α,q (f; γ n , x) ...