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Szász–Durrmeyer Operators and Approximation

In: Computational Mathematics and Variational Analysis

Author

Listed:
  • Vijay Gupta

    (Netaji Subhas University of Technology)

Abstract

The Szász–Durrmeyer operators were introduced three and half decades ago in order to approximate integrable functions on the positive real axis. Several approximation properties of these operators have been discussed by researchers. In the present paper, we discuss some of the approximation properties of these operators in terms of weighted modulus of continuity and also in terms of first-order modulus of continuity having exponential growth. In the end, we find the difference estimate of Szász–Durrmeyer operators from the Baskakov–Szász–Mirakyan operators in weighted approximation.

Suggested Citation

  • Vijay Gupta, 2020. "Szász–Durrmeyer Operators and Approximation," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Computational Mathematics and Variational Analysis, pages 107-120, Springer.
  • Handle: RePEc:spr:spochp:978-3-030-44625-3_6
    DOI: 10.1007/978-3-030-44625-3_6
    as

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