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On a q-analogue of Stancu operators

Authors :
Octavian Agratini
Source :
Open Mathematics, Vol 8, Iss 1, Pp 191-198 (2010)
Publication Year :
2010
Publisher :
De Gruyter, 2010.

Abstract

This paper is concerned with a generalization in q-Calculus of Stancu operators. Involving modulus of continuity and Lipschitz type maximal function, we give estimates for the rate of convergence. A probabilistic approach is presented and approximation properties are established.

Subjects

Subjects :
Pure mathematics
Generalization
General Mathematics
Uniform convergence
Mathematical analysis
lipschitz-type maximal function
q-bernstein polynomials
Lipschitz continuity
Bernstein polynomial
uniform convergence
Modulus of continuity
Number theory
q-integers
Rate of convergence
QA1-939
Maximal function
41a36
smoothness
Mathematics

Details

Language :
English
ISSN :
23915455
Volume :
8
Issue :
1
Database :
OpenAIRE
Journal :
Open Mathematics
Accession number :
edsair.doi.dedup.....80059494cac941686882851c1e6abd65

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