Stancu-type generalization of Dunkl analogue of Szász-Kantorovich operators
| Autor: | Bayram Çekim, Gürhan İçöz |
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| Rok vydání: | 2015 |
| Předmět: |
Discrete mathematics
Pure mathematics Class (set theory) Generalization General Mathematics 010102 general mathematics General Engineering Lipschitz continuity 01 natural sciences Type generalization Modulus of continuity Exponential function 010101 applied mathematics Rate of convergence 0101 mathematics Dunkl operator Mathematics |
| Zdroj: | Mathematical Methods in the Applied Sciences. 39:1803-1810 |
| ISSN: | 0170-4214 |
| DOI: | 10.1002/mma.3602 |
| Popis: | The purpose of the paper is to introduce Stancu-type linear positive operators generated by Dunkl generalization of exponential function. We present approximation properties with the help of well-known Korovkin-type theorem and weighted Korovkin-type theorem and also acquire the rate of convergence in terms of classical modulus of continuity, the class of Lipschitz functions, Peetre's K-functional, and second-order modulus of continuity by Dunkl analogue of Szasz operators. Copyright © 2015 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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