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Jakimovski-Leviatan operators of Durrmeyer type involving Appell polynomials

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The purpose of the present paper is to establish the rate of convergence for a Lipschitz-type space and obtain the degree of approximation in terms of Lipschitz-type maximal function for… Click to show full abstract

The purpose of the present paper is to establish the rate of convergence for a Lipschitz-type space and obtain the degree of approximation in terms of Lipschitz-type maximal function for the Durrmeyer type modification of Jakimovski–Leviatan operators based on Appell polynomials. We also study the rate of approximation of these operators in a weighted space of polynomial growth and for functions having a derivative of bounded variation.

Keywords: durrmeyer type; leviatan operators; jakimovski leviatan; type; appell polynomials

Journal Title: Turkish Journal of Mathematics
Year Published: 2018

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