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Gancho Tachev

Publications and source records attributed to Gancho Tachev.

2 recordsLinked to original sources

Better numerical approximation by Durrmeyer type operators

The main object of this paper is to construct new Durrmeyer type operators which have better features than the classical one. Some results concerning the rate of convergence and asymptotic formulas of the new operator are given. Finally, the theoretical results are analyzed by numerical examples.

math.NA

On the Constant in The Lower Estimate for the Bernstein Operator

For functions belonging to the classes $C^{2}[0, 1]$ and $C^{3}[0, 1]$, 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.

math.CA