General estimates of the weighted approximation on interval [0, ∞) using moduli of continuity

Authors

  • R. Paltanea Transilvania University of Brasov, Romania
  • M. Smuc Transilvania University of Brasov, Romania

Keywords:

linear positive operators, weighted approximation, Szasz- Mirakjan operators, Baskakov operators

Abstract

We obtain results for weighted approximation on the interval [0, ∞) by general positive linear operators. Special attention is given to the weights 1 and 1=(1+x2), x ≥ 0. We give applications for the Szasz-Mirakjan operators and for the Baskakov operators.

Author Biographies

R. Paltanea, Transilvania University of Brasov, Romania

Faculty of Mathematics and Informatics

M. Smuc, Transilvania University of Brasov, Romania

Faculty of Mathematics and Informatics

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Published

2011-01-07

Issue

Vol. 3(52) (2010)

Section

MATHEMATICS