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Approximation by Lupaṣ–Kantorovich Operators

In: Modern Discrete Mathematics and Analysis

Author

Listed:
  • Vijay Gupta

    (Netaji Subhas Institute of Technology)

  • Themistocles M. Rassias

    (National Technical University of Athens)

  • Deepika Agrawal

    (Netaji Subhas Institute of Technology)

Abstract

The present article deals with the approximation properties of certain Lupaṣ-Kantorovich operators preserving e −x. We obtain uniform convergence estimates which also include an asymptotic formula in quantitative sense. In the end, we provide the estimates for another modification of such operators, which preserve the function e −2x.

Suggested Citation

  • Vijay Gupta & Themistocles M. Rassias & Deepika Agrawal, 2018. "Approximation by Lupaṣ–Kantorovich Operators," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Modern Discrete Mathematics and Analysis, pages 217-225, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-74325-7_9
    DOI: 10.1007/978-3-319-74325-7_9
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