Flett's mean value theorem in topological vector spaces
We prove some generalizations of Flett's mean value theorem for a class of Gateaux differentiable functions f:X→Y, where X and Y are topological vector spaces.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120101078X |
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| _version_ | 1832550104758747136 |
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| author | Robert C. Powers Thomas Riedel Prasanna K. Sahoo |
| author_facet | Robert C. Powers Thomas Riedel Prasanna K. Sahoo |
| author_sort | Robert C. Powers |
| collection | DOAJ |
| description | We prove some generalizations of Flett's mean value theorem for a
class of Gateaux differentiable functions f:X→Y, where X and Y are topological vector spaces. |
| format | Article |
| id | doaj-art-e6f81bd06e094cf7a0913d039ac97858 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e6f81bd06e094cf7a0913d039ac978582025-02-03T06:07:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01271168969410.1155/S016117120101078XFlett's mean value theorem in topological vector spacesRobert C. Powers0Thomas Riedel1Prasanna K. Sahoo2Department of Mathematics, University of Louisville, Louisville 40292, KY, USADepartment of Mathematics, University of Louisville, Louisville 40292, KY, USADepartment of Mathematics, University of Louisville, Louisville 40292, KY, USAWe prove some generalizations of Flett's mean value theorem for a class of Gateaux differentiable functions f:X→Y, where X and Y are topological vector spaces.http://dx.doi.org/10.1155/S016117120101078X |
| spellingShingle | Robert C. Powers Thomas Riedel Prasanna K. Sahoo Flett's mean value theorem in topological vector spaces International Journal of Mathematics and Mathematical Sciences |
| title | Flett's mean value theorem in topological vector spaces |
| title_full | Flett's mean value theorem in topological vector spaces |
| title_fullStr | Flett's mean value theorem in topological vector spaces |
| title_full_unstemmed | Flett's mean value theorem in topological vector spaces |
| title_short | Flett's mean value theorem in topological vector spaces |
| title_sort | flett s mean value theorem in topological vector spaces |
| url | http://dx.doi.org/10.1155/S016117120101078X |
| work_keys_str_mv | AT robertcpowers flettsmeanvaluetheoremintopologicalvectorspaces AT thomasriedel flettsmeanvaluetheoremintopologicalvectorspaces AT prasannaksahoo flettsmeanvaluetheoremintopologicalvectorspaces |