Direct and Converse Theorems for Generalized Bernstein-Type Operators
Serdica Mathematical Journal, Tome 30 (2004) no. 1, pp. 33-42.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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].
Keywords: Goodman-Sharma Operator, Direct and Converse Approximation Theorems, K-Functional
@article{SMJ2_2004_30_1_a2,
     author = {Finta, Zolt\'an},
     title = {Direct and {Converse} {Theorems} for {Generalized} {Bernstein-Type} {Operators}},
     journal = {Serdica Mathematical Journal},
     pages = {33--42},
     publisher = {mathdoc},
     volume = {30},
     number = {1},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2004_30_1_a2/}
}
TY  - JOUR
AU  - Finta, Zoltán
TI  - Direct and Converse Theorems for Generalized Bernstein-Type Operators
JO  - Serdica Mathematical Journal
PY  - 2004
SP  - 33
EP  - 42
VL  - 30
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2004_30_1_a2/
LA  - en
ID  - SMJ2_2004_30_1_a2
ER  - 
%0 Journal Article
%A Finta, Zoltán
%T Direct and Converse Theorems for Generalized Bernstein-Type Operators
%J Serdica Mathematical Journal
%D 2004
%P 33-42
%V 30
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_2004_30_1_a2/
%G en
%F SMJ2_2004_30_1_a2
Finta, Zoltán. Direct and Converse Theorems for Generalized Bernstein-Type Operators. Serdica Mathematical Journal, Tome 30 (2004) no. 1, pp. 33-42. http://geodesic.mathdoc.fr/item/SMJ2_2004_30_1_a2/