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Some approximation properties of a Durrmeyer variant of q‐Bernstein–Schurer operators |
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| Authors: | Ana‐Maria Acu Carmen Violeta Muraru Daniel Florin Sofonea Voichiţa Adriana Radu |
| Affiliation: | 1. Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Sibiu, Romania;2. Department of Mathematics, Informatics and Educational Sciences, Vasile Alecsandri University of Bac?u, Bac?u, Romania;3. FSEGA, Department of Statistics‐Forecasts‐Mathematics, Babes‐Bolyai University, Cluj‐Napoca, Romania |
| Abstract: | In this paper, we will propose a Durrmeyer variant of q‐Bernstein–Schurer operators. A Bohman–Korovkin‐type approximation theorem of these operators is considered. The rate of convergence by using the first modulus of smoothness is computed. The statistical approximation of these operators is also studied. Copyright © 2016 John Wiley & Sons, Ltd. |
| Keywords: | q‐Durrmeyer– Bernstein– Schurer operators q‐integers rate of convergence moduli of continuity statistical convergence |