On genuine Lupa\c{s}-Beta operators and modulus of continuity | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 3، دوره 8، شماره 1، 2017، صفحه 23-32 اصل مقاله (365.76 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.10557.1508 | ||
| نویسندگان | ||
| Vijay Gupta1؛ Th.M. Rassias* 2؛ Ekta Pandey3 | ||
| 1Netaji Subhas Institute of Technology New Delhi, India | ||
| 2Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece | ||
| 3Department of Mathematics, IMS Engineering College Ghaziabad-201009, (UP), India | ||
| چکیده | ||
| In the present article we discuss approximation properties of genuine Lupa\c{s}-Beta operators of integral type. We establish quantitative asymptotic formulae and a direct estimate in terms of Ditzian-Totik modulus of continuity. Finally we mention results on the weighted modulus of continuity for the genuine operators. | ||
| کلیدواژهها | ||
| factorial polynomials؛ Beta basis function؛ direct estimates؛ weighted modulus of continuity؛ $K$-functionals | ||
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