Certain family of Durrmeyer type operators
The present paper is a continuation of the earlier work of the author. Here we study the rate of convergence of certain Durrmeyer type operators for function having derivatives of bounded variation.
Characterization of compact subsets of algebraic varieties in terms of Bernstein type inequalities
We show that in the class of compact sets K in with an analytic parametrization of order m, the sets with Zariski dimension m are exactly those which admit a Bernstein (or a van der Corput-Schaake) type inequality for tangential derivatives of (the traces of) polynomials on K.
Concerning the order approximation of periodic continuous functions by trigonometric interpolation polynomials II
Condensation principles with rates
Construction of Stancu-Hurwitz operator for two variables.
Convergence conditions for interpolation fractions at the nodes distinct from the singular points of a function.
Convergence of rational interpolants.