The Lower Estimate for Bernstein Operator


Autoria(s): Gal, Sorin G.; Tachev, Gancho T.
Data(s)

21/07/2016

21/07/2016

2013

Resumo

MSC 2010: 41A10, 41A15, 41A25, 41A36

For 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.

Identificador

Mathematica Balkanica New Series, Vol. 27, Fasc 1-2 (2013), 39p-51p

0205-3217

http://hdl.handle.net/10525/2610

Idioma(s)

en

Publicador

Bulgarian Academy of Sciences - National Committee for Mathematics

Palavras-Chave #Bernstein polynomials #lower estimate #Ditzian-Totik modulus of smoothness #K-functional
Tipo

Article