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Lupaş–Kantorovich Type Operators for Functions of Two Variables

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Mathematical Analysis I: Approximation Theory (ICRAPAM 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 306))

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Abstract

Agratini [1] introduced the Lupas–Kantorovich type operators. Manav and Ispir [18] defined a Durrmeyer variant of the operators proposed by Lupas and studied some of their approximation properties. Later, they [17] considered the bivariate case of these operators and studied the degree of approximation by means of the complete and partial moduli of continuity and the order of convergence by using Peetre’s K-functional. The associated GBS (Generalized Boolean Sum) operators were also investigated in the same paper. Our goal is to define the bivariate Chlodowsky Lupas–Kantorovich type operators and study their degree of approximation. We also introduce the associated GBS operators and investigate the rate of convergence of these operators for Bögel continuous and Bögel differentiable functions with the aid of mixed modulus of smoothness.

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Authors and Affiliations

  1. Department of Mathematics, IIT Roorkee, Roorkee, India

    P. N. Agrawal & Abhishek Kumar

Authors
  1. P. N. Agrawal
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  2. Abhishek Kumar
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Corresponding author

Correspondence to P. N. Agrawal .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Delhi Technological University, New Delhi, Delhi, India

    Naokant Deo

  2. Department of Mathematics, Netaji Subhas University of Technology, New Delhi, Delhi, India

    Vijay Gupta

  3. Department of Mathematics, Lucian Blaga University of Sibiu, Sibiu, Romania

    Ana Maria Acu

  4. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    P. N. Agrawal

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Agrawal, P.N., Kumar, A. (2020). Lupaş–Kantorovich Type Operators for Functions of Two Variables. In: Deo, N., Gupta, V., Acu, A., Agrawal, P. (eds) Mathematical Analysis I: Approximation Theory . ICRAPAM 2018. Springer Proceedings in Mathematics & Statistics, vol 306. Springer, Singapore. https://doi.org/10.1007/978-981-15-1153-0_2

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