A note on Ruscheweyh type of integral operators for uniformly α-convex functions
We prove that the class of uniformly α-convex functions introduced by Kanas is closed under the generalized Ruscheweyh integral operator for 0<α≤1.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202006920 |
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| _version_ | 1849434658270347264 |
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| author | M. Anbu Durai R. Parvatham |
| author_facet | M. Anbu Durai R. Parvatham |
| author_sort | M. Anbu Durai |
| collection | DOAJ |
| description | We prove that the class of uniformly α-convex
functions introduced by Kanas is closed under the
generalized Ruscheweyh integral operator for 0<α≤1. |
| format | Article |
| id | doaj-art-ea3b8873f482436681fcc1c2ca5a80b0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ea3b8873f482436681fcc1c2ca5a80b02025-08-20T03:26:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129318318610.1155/S0161171202006920A note on Ruscheweyh type of integral operators for uniformly α-convex functionsM. Anbu Durai0R. Parvatham1The Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 500, IndiaThe Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 500, IndiaWe prove that the class of uniformly α-convex functions introduced by Kanas is closed under the generalized Ruscheweyh integral operator for 0<α≤1.http://dx.doi.org/10.1155/S0161171202006920 |
| spellingShingle | M. Anbu Durai R. Parvatham A note on Ruscheweyh type of integral operators for uniformly α-convex functions International Journal of Mathematics and Mathematical Sciences |
| title | A note on Ruscheweyh type of integral operators for
uniformly α-convex functions |
| title_full | A note on Ruscheweyh type of integral operators for
uniformly α-convex functions |
| title_fullStr | A note on Ruscheweyh type of integral operators for
uniformly α-convex functions |
| title_full_unstemmed | A note on Ruscheweyh type of integral operators for
uniformly α-convex functions |
| title_short | A note on Ruscheweyh type of integral operators for
uniformly α-convex functions |
| title_sort | note on ruscheweyh type of integral operators for uniformly α convex functions |
| url | http://dx.doi.org/10.1155/S0161171202006920 |
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