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

Silvestru Sever Dragomir

doi:10.1007/978-3-030-44625-3_5

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

Silvestru Sever Dragomir

https://doi.org/10.1007/978-3-030-44625-3_5

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Publication Date: Jan 1, 2020

Affiliation: Victoria University, University of the Witwatersrand

#Terms Of P-norms #Convex Domains + Show 8 more

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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.

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