On convex functions of order α and type β
Owa [1] gave three subordination theorems for convex functions of order α and starlike functions of order α. Unfortunately, none of the theorems is correct. In this paper, similar problems are discussed for a generalized class and sharp results are given.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171288000560 |
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| _version_ | 1832561922638086144 |
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| author | Wancang Ma |
| author_facet | Wancang Ma |
| author_sort | Wancang Ma |
| collection | DOAJ |
| description | Owa [1] gave three subordination theorems for convex functions of order α and starlike functions of order α. Unfortunately, none of the theorems is correct. In this paper, similar problems are discussed for a generalized class and sharp results are given. |
| format | Article |
| id | doaj-art-7ec20e79227d4f23881730a7de94ebe8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7ec20e79227d4f23881730a7de94ebe82025-02-03T01:23:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111348549210.1155/S0161171288000560On convex functions of order α and type βWancang Ma0Department of Mathematics, Northwest University, Xian, ChinaOwa [1] gave three subordination theorems for convex functions of order α and starlike functions of order α. Unfortunately, none of the theorems is correct. In this paper, similar problems are discussed for a generalized class and sharp results are given.http://dx.doi.org/10.1155/S0161171288000560subordinationHadamard productconvex functions of order α and type β. |
| spellingShingle | Wancang Ma On convex functions of order α and type β International Journal of Mathematics and Mathematical Sciences subordination Hadamard product convex functions of order α and type β. |
| title | On convex functions of order α and type β |
| title_full | On convex functions of order α and type β |
| title_fullStr | On convex functions of order α and type β |
| title_full_unstemmed | On convex functions of order α and type β |
| title_short | On convex functions of order α and type β |
| title_sort | on convex functions of order α and type β |
| topic | subordination Hadamard product convex functions of order α and type β. |
| url | http://dx.doi.org/10.1155/S0161171288000560 |
| work_keys_str_mv | AT wancangma onconvexfunctionsoforderaandtypeb |