|
EMU I-REP >
08 Faculty of Arts and Sciences >
Department of Mathematics >
MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11129/3441
|
| Title: | Smoothness Properties of Modified Bernstein-Kantorovich Operators |
| Authors: | Özarslan, Mehmet Ali
Duman, Oktay
Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics |
| Keywords: | 41A36, modulus of continuity,
Bernstein-Kantorovich operators, simultaneous approximation
Ditzian-Totik modulus of smoothness, 41A25, MATHEMATICS, APPLIED
POSITIVE LINEAR-OPERATORS, APPROXIMATION PROPERTIES
modulus ofcontinuity, Ditzian-Totik modulus ofsmoothness |
| Issue Date: | 2016 |
| Publisher: | Taylor & Francis |
| Abstract: | In this article, we consider modified Bernstein-Kantorovich operators and investigate their approximation properties. We show that the order of approximation to a function by these operators is at least as good as that of ones classically used. We obtain a simultaneous approximation result for our operators. Also, we prove two direct approximation results via the usual second-order modulus of smoothness and the second-order Ditzian-Totik modulus of smoothness, respectively. Finally, some graphical illustrations are provided. |
| URI: | http://dx.doi.org/10.1080/01630563.2015.1079219
http://hdl.handle.net/11129/3441 |
| ISSN: | 0163-0563 (print)
1532-2467 (online) |
| Appears in Collections: | MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics
|
Files in This Item:
There are no files associated with this item.
|
This item is protected by original copyright
|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
|
