Bernstein-type operators on the half line

Antonio Attalienti; Michele Campiti

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 4, page 851-860
  • ISSN: 0011-4642

Abstract

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We define Bernstein-type operators on the half line [ 0 , + [ by means of two sequences of strictly positive real numbers. After studying their approximation properties, we also establish a Voronovskaja-type result with respect to a suitable weighted norm.

How to cite

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Attalienti, Antonio, and Campiti, Michele. "Bernstein-type operators on the half line." Czechoslovak Mathematical Journal 52.4 (2002): 851-860. <http://eudml.org/doc/30749>.

@article{Attalienti2002,
abstract = {We define Bernstein-type operators on the half line $\mathopen [0,+\infty \mathclose [$ by means of two sequences of strictly positive real numbers. After studying their approximation properties, we also establish a Voronovskaja-type result with respect to a suitable weighted norm.},
author = {Attalienti, Antonio, Campiti, Michele},
journal = {Czechoslovak Mathematical Journal},
keywords = {Bernstein-Chlodovsky operators; approximation process; Voronovskaja-type formula; Bernstein-Chlodovsky operators; approximation process; Voronovskaja-type formula},
language = {eng},
number = {4},
pages = {851-860},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bernstein-type operators on the half line},
url = {http://eudml.org/doc/30749},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Attalienti, Antonio
AU - Campiti, Michele
TI - Bernstein-type operators on the half line
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 4
SP - 851
EP - 860
AB - We define Bernstein-type operators on the half line $\mathopen [0,+\infty \mathclose [$ by means of two sequences of strictly positive real numbers. After studying their approximation properties, we also establish a Voronovskaja-type result with respect to a suitable weighted norm.
LA - eng
KW - Bernstein-Chlodovsky operators; approximation process; Voronovskaja-type formula; Bernstein-Chlodovsky operators; approximation process; Voronovskaja-type formula
UR - http://eudml.org/doc/30749
ER -

References

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