On q-Parametric Szasz-Mirakjan Operators
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Publisher
Springer Basel Ag
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In the present paper, we introduce q-parametric Szasz-Mirakjan operators. We study convergence properties of these operators S-n,S-q(f). We obtain inequalities for the weighted approximation error of q-Szasz-Mirakjan operators. Such inequalities are valid for functions of polynomial growth and are expressed in terms of weighted moduli of continuity. We also discuss Voronovskaja-type formula for q-Szasz-Mirakjan operators.
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Keywords
q-polynomials, Szasz-Mirakjan operator, Korovkin approximation, positive operator, rate of convergence, modulus of continuity, Voronovskaja-type formula
Journal or Series
Mediterranean Journal of Mathematics
WoS Q Value
Scopus Q Value
Volume
7
Issue
3
