Abstract

DRAGOMIR, SILVESTRU SEVER. An identity of Fink type for the integral of analytic complex functions on paths from general domains. Integración - UIS [online]. 2022, vol.40, n.1, pp.99-118.  Epub Aug 25, 2022. ISSN 0120-419X.  https://doi.org/10.18273/revint.v40n1-2022006.

In this paper we establish an identity of Fink type for approximat-ing 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.

Keywords : Trapezoid Type Rules; Ostrowski type rules; Integral inequalities; Logarithmic and exponential complex functions.

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