<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

Pubblicato online: 08 lug 2021

Pagine: 131 - 154

Ricevuto: 05 set 2020

Accettato: 15 ott 2020

DOI: https://doi.org/10.2478/auom-2021-0022

Parole chiave
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

Pubblicato online: 08 lug 2021

Pagine: 131 - 154

Ricevuto: 05 set 2020

Accettato: 15 ott 2020

DOI: https://doi.org/10.2478/auom-2021-0022

Parole chiaveTaylor’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.

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