Approximation by Gamma type operators |
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| Authors: | Serife Nur Deveci Tuncer Acar Osman Alagoz |
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| Institution: | 1. Faculty of Science, Department of Mathematics, Selcuk University, Selcuklu, 42003 Konya, Turkey;2. Bilecik Seyh Edebali University, Faculty of Arts and Science, Department of Mathematics, Bilecik, Turkey |
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| Abstract: | 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. |
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| Keywords: | exponential functions Gamma-type operators King approach modulus of continuity rate of convergence |
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