Abstract
Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov-Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators. We investigate the degree of approximation of these operators by means of the Lipschitz class function, the modulus of continuity, and a weighted space. We study a direct approximation theorem by means of the unified Ditzian-Totik modulus of smoothness. Furthermore, the rate of convergence for functions having derivatives of bounded variation is discussed.
Recommended Citation
P. N. Agrawal et al., "Approximation Degree of Durrmeyer-Bézier Type Operators," Journal of Inequalities and Applications, vol. 2018, Springer Verlag, Feb 2018.
The definitive version is available at https://doi.org/10.1186/s13660-018-1622-1
Department(s)
Mathematics and Statistics
Keywords and Phrases
Baskakov-Szász type operators; Bounded variation; Ditzian-Totik modulus of smoothness; Rate of convergence
International Standard Serial Number (ISSN)
1025-5834; 1029-242X
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2018 The Author(s), All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
01 Feb 2018
