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Quantitative Voronovskaja and Grüss Voronovskaja-Type Theorems for Operators of Kantorovich Type Involving Multiple Appell Polynomials

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Abstract

The purpose of the present paper is to obtain the quantitative Voronovskaja and Grüss Voronovskaja-type theorems by calculating the sixth-order central moment for the Jakimovski–Leviatan operators of Kantorovich type based on multiple Appell polynomials. Also, we study the rate of approximation for functions in a Lipschitz-type space and in terms of the second-order modulus of continuity and Ditzian–Totik modulus of smoothness for continuous functions in the semi-positive axis.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    Pooja Gupta & P. N. Agrawal

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  1. Pooja Gupta
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  2. P. N. Agrawal
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Correspondence to Pooja Gupta.

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Gupta, P., Agrawal, P.N. Quantitative Voronovskaja and Grüss Voronovskaja-Type Theorems for Operators of Kantorovich Type Involving Multiple Appell Polynomials. Iran J Sci Technol Trans Sci 43, 1679–1687 (2019). https://doi.org/10.1007/s40995-018-0613-x

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  • DOI: https://doi.org/10.1007/s40995-018-0613-x

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