Jakimovski-Leviatan operators of Durrmeyer type involving Appell polynomials | Zendy

Pooja Gupta | Zendy; P. Ν. Agrawal | Zendy

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Jakimovski-Leviatan operators of Durrmeyer type involving Appell polynomials

Author(s) -

Pooja Gupta,

P. Ν. Agrawal

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1708-6

Subject(s) - mathematics , lipschitz continuity , type (biology) , bounded variation , rate of convergence , polynomial , bounded function , degree (music) , difference polynomials , space (punctuation) , orthogonal polynomials , pure mathematics , mathematical analysis , ecology , biology , channel (broadcasting) , linguistics , physics , philosophy , acoustics , electrical engineering , engineering

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.

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