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Approximating the Integral of Analytic Complex Functions on Paths from Convex Domains in Terms of Generalized Ostrowski and Trapezoid Type Rules

In: Computational Mathematics and Variational Analysis

Author

Listed:
  • Silvestru Sever Dragomir

    (Victoria University
    University of the Witwatersrand)

Abstract

In this paper we establish some results in approximating the integral of analytic complex functions on paths from convex domains in terms of generalized Ostrowski and Trapezoid type rules. Error bounds for these expansions in terms of p-norms are also provided. Examples for the complex logarithm and the complex exponential are also given.

Suggested Citation

  • Silvestru Sever Dragomir, 2020. "Approximating the Integral of Analytic Complex Functions on Paths from Convex Domains in Terms of Generalized Ostrowski and Trapezoid Type Rules," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Computational Mathematics and Variational Analysis, pages 81-106, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-44625-3_5
    DOI: 10.1007/978-3-030-44625-3_5
    as

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