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    On Durrmeyer-type generalization of ( p , q )-Bernstein operators (2016)
    SpringerOpen
    Details
    Publication Date: 2016-08-03
    Description: In this paper, we introduce ( p , q )-Bernstein Durrmeyer operators. We define ( p , q )-beta integral and use it to obtain the moments of the operators. We obtain uniform convergence of the operators by using Korovkin’s theorem. We estimate direct results of the operators by means of modulus of continuity and Peetre K -functional. Finally, we find Voronovskaya-type theorem for the operators.
    Print ISSN: 2193-5343
    Electronic ISSN: 2193-5351
    Topics: Mathematics
    Published by SpringerOpen
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