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

Silvestru Sever Dragomir
Silvestru Sever Dragomir
   | 08 lug 2021
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică's Cover Image
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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
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© 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.

eISSN:
1844-0835
Lingua:
Inglese
Frequenza di pubblicazione:
Volume Open
Argomenti della rivista:
Mathematics, General Mathematics
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