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.
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
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)
Article - Journal
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01 Feb 2018