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

Silvestru Sever Dragomir ()
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Silvestru Sever Dragomir: Victoria University

A chapter in Computational Mathematics and Variational Analysis, 2020, pp 81-106 from Springer

Abstract: 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.

Keywords: Taylor’s formula; Power series; Logarithmic and exponential functions; 30A10; 26D15; 26D10 (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-44625-3_5

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

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