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: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200000508 |
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| _version_ | 1832550605945569280 |
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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. |
| format | Article |
| id | doaj-art-214d4b42f2144aa5a622f435f91d950f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| 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 |
| work_keys_str_mv | AT triedel onafunctionalequationrelatedtoageneralizationofflettsmeanvaluetheorem AT maciejsablik onafunctionalequationrelatedtoageneralizationofflettsmeanvaluetheorem |