The Baskakov operators for functions of two variables.
The Convergence and Saturation of Iterations of Positive Linear Operators.
The evaluation of the remainders in approximation formulas by linear positive operators of interpolatory type.
The Lower Estimate for Bernstein Operator
MSC 2010: 41A10, 41A15, 41A25, 41A36For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of smoothness. Several applications to some concrete examples of functions are presented.
The powers of the bivariate Bernstein operators.
The Rate of Convergence for Linear Shape-Preserving Algorithms
We prove some results which give explicit methods for determining an upper bound for the rate of approximation by means of operators preserving a cone. Thenwe obtain some quantitative results on the rate of convergence for some sequences of linear shape-preserving operators.
The Voronovskaya theorem for some linear positive operators in exponential weight spaces.
In this note we give the Voronovskaya theorem for some linear positive operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+∞) and having the exponential growth at infinity. Some approximation properties of these operators are given in [3], [4].
The -transformation of certain positive linear operators.