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Convergence of Szász-Beta operators

Convergence of Szász-Beta operators In the present article we find the hypergeometric representation of the Szász-Beta operators and obtain the moments using confluent hypergeometric functions, which can be related to generalized Laguerre polynomials. Then we estimate a convergence result for functions having bounded derivatives. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ANNALI DELL'UNIVERSITA' DI FERRARA Springer Journals

Convergence of Szász-Beta operators

Gupta, Vijay
ANNALI DELL'UNIVERSITA' DI FERRARA , Volume 59 (2) – Mar 6, 2013
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Publisher
Springer Journals
Copyright
Copyright © 2013 by Università degli Studi di Ferrara
Subject
Mathematics; Mathematics, general; Analysis; Geometry; History of Mathematical Sciences; Numerical Analysis; Algebraic Geometry
ISSN
0430-3202
eISSN
1827-1510
DOI
10.1007/s11565-013-0177-9
Publisher site
See Article on Publisher Site

Abstract

In the present article we find the hypergeometric representation of the Szász-Beta operators and obtain the moments using confluent hypergeometric functions, which can be related to generalized Laguerre polynomials. Then we estimate a convergence result for functions having bounded derivatives.

Journal

ANNALI DELL'UNIVERSITA' DI FERRARA – Springer Journals

Published: Mar 6, 2013

References

  • Better error estimation for Szász–Mirakjan Beta operators
    Duman, O; Ozarslan, MA; Aktuglu, H
  • A-statistical approximation of generalized Szász–Mirakjan-Beta operators
    Ozarslan, MA; Aktulu, H
  • Convergence of derivatives for certain mixed Szász-Beta operators
    Gupta, V; Noor, MA
  • An inversion formula for Laplace transforms and semi-groups of linear operators
    Phillips, RS
  • Generalizations of S. Bernstein’s polynomial to the infinite interval
    Szász, O
  • Approximation of absolutely continuous functions by Stancu Beta operators
    Zeng, XM