Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 40 No. 1 (2022): Revista Integración, temas de matemáticas
Research and Innovation Articles

An identity of Fink type for the integral of analytic complex functions on paths from general domains

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Silvestru Sever Dragomir
University of the Witwatersrand
DOI: https://doi.org/10.18273/revint.v40n1-2022006

Published 2022-03-01

Keywords

  • Trapezoid Type Rules,
  • Ostrowski type rules,
  • Integral inequalities,
  • Logarithmic and exponential complex functions

How to Cite

Dragomir, S. S. (2022). An identity of Fink type for the integral of analytic complex functions on paths from general domains. Revista Integración, Temas De matemáticas, 40(1), 99–118. https://doi.org/10.18273/revint.v40n1-2022006

Copyright (c) 2022 Revista Integración, temas de matemáticas

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this paper we establish an identity of Fink type for approximating the integral of analytic complex functions on paths from general
domains. Error bounds for these expansions in terms of p-norms are also provided. Examples for the complex logarithm and the complex exponential are given as well.

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References

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