Exponentially Convex Functions on Hypercomplex Systems
A hypercomplex system (h.c.s.) L1(Q,m) is, roughly speaking, a space which is defined by a structure measure (c(A,B,r), (A,B∈ℬ(Q))), such space has been studied by Berezanskii and Krein. Our main result is to define the exponentially convex functions (e.c.f.) on (h.c.s.), and we will study their pro...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/290403 |
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| _version_ | 1832561790941134848 |
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| author | Buthinah A. Bin Dehaish |
| author_facet | Buthinah A. Bin Dehaish |
| author_sort | Buthinah A. Bin Dehaish |
| collection | DOAJ |
| description | A hypercomplex system (h.c.s.) L1(Q,m) is, roughly speaking, a space which is defined by a structure measure (c(A,B,r), (A,B∈ℬ(Q))), such space has been studied by Berezanskii and Krein. Our main result is to define the exponentially convex functions (e.c.f.) on (h.c.s.), and we will study their properties. The definition of such functions is a natural generalization of that defined on semigroup. |
| format | Article |
| id | doaj-art-b2ff7bf9d31f4fe7a36f819cb9bc770c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b2ff7bf9d31f4fe7a36f819cb9bc770c2025-02-03T01:24:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/290403290403Exponentially Convex Functions on Hypercomplex SystemsButhinah A. Bin Dehaish0Department of Mathematics, Science College of Girls, King Abdulaziz University, P.O. Box 53909, Jeddah 21593, Saudi ArabiaA hypercomplex system (h.c.s.) L1(Q,m) is, roughly speaking, a space which is defined by a structure measure (c(A,B,r), (A,B∈ℬ(Q))), such space has been studied by Berezanskii and Krein. Our main result is to define the exponentially convex functions (e.c.f.) on (h.c.s.), and we will study their properties. The definition of such functions is a natural generalization of that defined on semigroup.http://dx.doi.org/10.1155/2011/290403 |
| spellingShingle | Buthinah A. Bin Dehaish Exponentially Convex Functions on Hypercomplex Systems International Journal of Mathematics and Mathematical Sciences |
| title | Exponentially Convex Functions on Hypercomplex Systems |
| title_full | Exponentially Convex Functions on Hypercomplex Systems |
| title_fullStr | Exponentially Convex Functions on Hypercomplex Systems |
| title_full_unstemmed | Exponentially Convex Functions on Hypercomplex Systems |
| title_short | Exponentially Convex Functions on Hypercomplex Systems |
| title_sort | exponentially convex functions on hypercomplex systems |
| url | http://dx.doi.org/10.1155/2011/290403 |
| work_keys_str_mv | AT buthinahabindehaish exponentiallyconvexfunctionsonhypercomplexsystems |