Approximation by Gamma type operators

In this study, we introduce newly defined Gamma operators which preserve constants and e2μ·, μ>0 functions. In accordance with this purpose, we focus on their approximation properties such as uniform convergence, rate of convergence, asymptotic formula, and saturation results. Superior properties...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2020-03, Vol.43 (5), p.2772-2782
Main Authors: Nur Deveci, Serife, Acar, Tuncer, Alagoz, Osman
Format: Article
Language:English
Subjects:
Approximation
Convergence
exponential functions
Gamma‐type operators
King approach
Mathematical analysis
modulus of continuity
Operators (mathematics)
rate of convergence
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Summary:In this study, we introduce newly defined Gamma operators which preserve constants and e2μ·, μ>0 functions. In accordance with this purpose, we focus on their approximation properties such as uniform convergence, rate of convergence, asymptotic formula, and saturation results. Superior properties of introduced operators have been tested both theoretically and numerically in certain senses to highlight the performance of the new constructions of Gamma operators.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6083