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

Silvestru Sever Dragomir

Silvestru Sever Dragomir

Mathematics, College of Engineering, Science Victoria University, School of Computer Science & Applied Mathematics, University of the Witwatersrand
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Dragomir, Silvestru Sever
  
Jul 08, 2021
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Published Online: Jul 08, 2021
Page range: 131 - 154
Received: Sep 05, 2020
Accepted: Oct 15, 2020
DOI: https://doi.org/10.2478/auom-2021-0022
Keywords
© 2021 Silvestru Sever Dragomir, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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