On simultaneous approximation by iterated Boolean sums of Bernstein operators
نویسنده
چکیده
The paper presents upper estimates of the error of weighted and unweighted simultaneous approximation by the Bernstein operators and their iterated Boolean sums. The estimates are stated in terms of the Ditzian-Totik modulus of smoothness or appropriate K-functionals. AMS classification: 41A10, 41A17, 41A25, 41A28, 41A35, 41A36.
منابع مشابه
K-functionals and multivariate Bernstein polynomials
This paper estimates upper and lower bounds for the approximation rates of iterated Boolean sums of multivariate Bernstein polynomials. Both direct and inverse inequalities for the approximation rate are established in terms of a certain K -functional. From these estimates, one can also determine the class of functions yielding optimal approximations to the iterated Boolean sums. c © 2008 Elsev...
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