Genuine modified Bernstein–Durrmeyer operators
Syed Abdul Mohiuddine, Tuncer Acar, Mohammed A. Alghamdi
Journal of Inequalities and Applications · 2018
doi:10.1186/s13660-018-1693-z (opens in a new tab)
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Abstract
Abstract The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre K $\mathcal{K}$-functional and corresponding modulus of smoothness, quantitative Voronovskaya type theorem and Grüss–Voronovskaya type theorem in quantitative mean are discussed. Finally, the graphic for new operators with special cases and for some values of n is also presented.
Abstract licence: CC BY-NC-ND
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