Bézier variant of the Jakimovski–Leviatan–Păltănea operators based on Appell polynomials
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In this paper, we introduce the Bézier variant of the Jakimovski–Leviatan–Păltănea operators based on Appell polynomials. We establish some local results, a direct approximation theorem by means of the Ditzian–Totik modulus of smoothness and also study the rate of convergence for the functions having a derivative of bounded variation for these operators.
KeywordsBézier operator Modulus of continuity Rate of convergence Bounded variation
Mathematics Subject Classification26A15 40A35 41A25 41A36
The authors are extremely grateful to the reviewers for a careful reading of the manuscript and making helpful suggestions leading to a better presentation of the paper. The first author is thankful to the “Council of Scientific and Industrial Research” India for financial support to carry out the above research work.
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