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Higher order Lupaş-Kantorovich operators and finite differences

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

It is well-known that Lupaş operators are not exponential type operators, although they preserve linear functions. The differential operator is not applicable to estimate nice representation between Lupaş operators and its Kantorovich variant. In the present paper we use finite difference method viz. backward differences to estimate the recurrence relation for moments of the Lupaş operators. We introduce higher order Lupaş-Kantorovich operators and estimate some direct results.

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Acknowledgements

The authors is thankful to the reviewers and the handling editor for helpful suggestions, which lead to improvement of the manuscript.

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  1. Department of Mathematics, Netaji Subhas University of Technology, Sector 3 Dwarka, New Delhi, 110078, India

    Vijay Gupta

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  1. Vijay Gupta
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Correspondence to Vijay Gupta.

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Dedicated to Prof. Ulrich Abel, Technische Hochschule Mittelhessen, Friedberg on the occasion of his 63-rd birthday.

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Gupta, V. Higher order Lupaş-Kantorovich operators and finite differences. RACSAM 115, 100 (2021). https://doi.org/10.1007/s13398-021-01034-2

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  • DOI: https://doi.org/10.1007/s13398-021-01034-2

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