Approximation of Jakimovski-Leviatan-Beta type integral operators via q-calculus

We construct Jakimovski-Leviatan-Beta type q-integral operators and show that these positive linear operators are uniformly convergent to a continuous functions. We obtain the Korovkin type results, the rate of convergence as well as some direct theorems.

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 4; pp. 3019 - 3034
Main Authors Alotaibi, Abdullah, Mursaleen, M.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
appell polynomials
jakimovski-leviatan-beta operators
jakimovski-levitian operators
korovkin’s theorem
modulus of continuity
q-appell polynomials
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Summary:We construct Jakimovski-Leviatan-Beta type q-integral operators and show that these positive linear operators are uniformly convergent to a continuous functions. We obtain the Korovkin type results, the rate of convergence as well as some direct theorems.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020196