Direct and Converse Theorems for Generalized Bernstein-Type Operators

Finta, Zoltán

Serdica Mathematical Journal (2004)

  • Volume: 30, Issue: 1, page 33-42
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 41A25, 41A27, 41A36.We establish direct and converse theorems for generalized parameter dependent Bernstein-type operators. The direct estimate is given using a K-functional and the inverse result is a strong converse inequality of type A, in the terminology of [2].

How to cite

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Finta, Zoltán. "Direct and Converse Theorems for Generalized Bernstein-Type Operators." Serdica Mathematical Journal 30.1 (2004): 33-42. <http://eudml.org/doc/219617>.

@article{Finta2004,
abstract = {2000 Mathematics Subject Classification: 41A25, 41A27, 41A36.We establish direct and converse theorems for generalized parameter dependent Bernstein-type operators. The direct estimate is given using a K-functional and the inverse result is a strong converse inequality of type A, in the terminology of [2].},
author = {Finta, Zoltán},
journal = {Serdica Mathematical Journal},
keywords = {Goodman-Sharma Operator; Direct and Converse Approximation Theorems; K-Functional; Goodman-Sharma operator; direct and converse approximation theorems; -functional.},
language = {eng},
number = {1},
pages = {33-42},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Direct and Converse Theorems for Generalized Bernstein-Type Operators},
url = {http://eudml.org/doc/219617},
volume = {30},
year = {2004},
}

TY - JOUR
AU - Finta, Zoltán
TI - Direct and Converse Theorems for Generalized Bernstein-Type Operators
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 1
SP - 33
EP - 42
AB - 2000 Mathematics Subject Classification: 41A25, 41A27, 41A36.We establish direct and converse theorems for generalized parameter dependent Bernstein-type operators. The direct estimate is given using a K-functional and the inverse result is a strong converse inequality of type A, in the terminology of [2].
LA - eng
KW - Goodman-Sharma Operator; Direct and Converse Approximation Theorems; K-Functional; Goodman-Sharma operator; direct and converse approximation theorems; -functional.
UR - http://eudml.org/doc/219617
ER -

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