On a functional equation related to a generalization of Flett's mean value theorem

In this paper, we characterize all the functions that attain their Flett mean value at a particular point between the endpoints of the interval under consideration. These functions turn out to be cubic polynomials and thus, we also characterize these.

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Main Authors: T. Riedel, Maciej Sablik
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171200000508
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author T. Riedel
Maciej Sablik
author_facet T. Riedel
Maciej Sablik
author_sort T. Riedel
collection DOAJ
description In this paper, we characterize all the functions that attain their Flett mean value at a particular point between the endpoints of the interval under consideration. These functions turn out to be cubic polynomials and thus, we also characterize these.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2000-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-214d4b42f2144aa5a622f435f91d950f2025-02-03T06:06:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123210310710.1155/S0161171200000508On a functional equation related to a generalization of Flett's mean value theoremT. Riedel0Maciej Sablik1Department of Mathematics, University of Louisville, Louisville 40292, KY, USAInstytut Matematyki, Uniwersytet Śląski, Ul. Bankowa 14, Katowice Pl-40-007, PolandIn this paper, we characterize all the functions that attain their Flett mean value at a particular point between the endpoints of the interval under consideration. These functions turn out to be cubic polynomials and thus, we also characterize these.http://dx.doi.org/10.1155/S0161171200000508Flett's mean value theoremfunctional equations generalized polynomials.
spellingShingle T. Riedel
Maciej Sablik
On a functional equation related to a generalization of Flett's mean value theorem
International Journal of Mathematics and Mathematical Sciences
Flett's mean value theorem
functional equations
generalized polynomials.
title On a functional equation related to a generalization of Flett's mean value theorem
title_full On a functional equation related to a generalization of Flett's mean value theorem
title_fullStr On a functional equation related to a generalization of Flett's mean value theorem
title_full_unstemmed On a functional equation related to a generalization of Flett's mean value theorem
title_short On a functional equation related to a generalization of Flett's mean value theorem
title_sort on a functional equation related to a generalization of flett s mean value theorem
topic Flett's mean value theorem
functional equations
generalized polynomials.
url http://dx.doi.org/10.1155/S0161171200000508
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AT maciejsablik onafunctionalequationrelatedtoageneralizationofflettsmeanvaluetheorem