CONVERGENCE RESULTS FOR LUPAS - KANTOROVICH OPERATORS INVOLVING POLYA DISTRIBUTION

CONVERGENCE RESULTS FOR LUPAS - KANTOROVICH OPERATORS INVOLVING POLYA DISTRIBUTIONS

S. Berwal, S. A. Mohıuddine, A. Kajla, A. Alotaibi

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Abstract

In this paper, we investigate the Lupa¸s-Kantorovich operators with the P´olya distribution introduced by Agrawal et al. in 2016. Our focus is on understanding certain approximation properties. Specifically, we examine a Voronovskaya-type result related to second moduli of continuity, the Chebyshev-Gr¨uss inequality and two Gr¨uss- Voronovskaya theorems for Lupa¸s-Kantorovich operators.

Keywords

Chebyshev-Gr¨uss inequality, Gr¨uss-Voronovskaya theorem, P´olya distribution, First-order modulus.