# The Lower Estimate for Bernstein Operator

Gal, Sorin G.; Tachev, Gancho T.

Mathematica Balkanica New Series (2013)

- Volume: 27, Issue: 1-2, page 39-51
- ISSN: 0205-3217

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topGal, Sorin G., and Tachev, Gancho T.. "The Lower Estimate for Bernstein Operator." Mathematica Balkanica New Series 27.1-2 (2013): 39-51. <http://eudml.org/doc/281468>.

@article{Gal2013,

abstract = {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.},

author = {Gal, Sorin G., Tachev, Gancho T.},

journal = {Mathematica Balkanica New Series},

keywords = {Bernstein polynomials; lower estimate; Ditzian-Totik modulus of smoothness; K-functional},

language = {eng},

number = {1-2},

pages = {39-51},

publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},

title = {The Lower Estimate for Bernstein Operator},

url = {http://eudml.org/doc/281468},

volume = {27},

year = {2013},

}

TY - JOUR

AU - Gal, Sorin G.

AU - Tachev, Gancho T.

TI - The Lower Estimate for Bernstein Operator

JO - Mathematica Balkanica New Series

PY - 2013

PB - Bulgarian Academy of Sciences - National Committee for Mathematics

VL - 27

IS - 1-2

SP - 39

EP - 51

AB - 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.

LA - eng

KW - Bernstein polynomials; lower estimate; Ditzian-Totik modulus of smoothness; K-functional

UR - http://eudml.org/doc/281468

ER -

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