<abstract xmlns="http://www.w3.org/1999/xhtml">

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

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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...

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

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
Taylor’s formula, Power series, Logarithmic and exponential functions

© 2021 Silvestru Sever Dragomir, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

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

KeywordsTaylor’s formula, Power series, Logarithmic and exponential functions

© 2021 Silvestru Sever Dragomir, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Taylor’s formula, Power series, Logarithmic and exponential functions