Two Points Taylor’s Type Representations for Analytic Complex Functions with Integral Remainders

Dragomir, Silvestru Sever

doi:10.2478/auom-2021-0022

Abstract

In this paper we establish some two point weighted Taylor’s expansions for analytic functions f : D ⊆ ℂ→ ℂ defined on a convex domain D. Some error bounds for these expansions are also provided. Examples for the complex logarithm and the complex exponential are also given.

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Two Points Taylor’s Type Representations for Analytic Complex Functions with Integral Remainders

Abstract

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