Open Problem for General Class of Superordination-Preserving Convex Integral Operator (Masalah Terbuka untuk Kelas Umum Pengoperasi Kamiran Cembung yang Mengawet Superordinasi)
Let H(U) be the space of analytic functions in the unit disc U. For the integral operator , , , A [ f ](z) : K H(U) with K C H(U), we will determine sufficient conditions on certain parameters a ,β ,Y ,8 for sandwich-type theorem. We will also give some particular cases of the main r...
Main Authors: | , , |
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Format: | Article |
Published: |
Penerbit Universiti Kebangsaan Malaysia
2011
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Online Access: | http://journalarticle.ukm.my/3442/ http://journalarticle.ukm.my/3442/ |
Summary: | Let H(U) be the space of analytic functions in the unit disc U. For the integral operator
,
, , A [ f ](z) : K H(U)
with K C H(U), we will determine sufficient conditions on
certain parameters a ,β ,Y ,8 for sandwich-type theorem. We will also give some particular
cases of the main result obtained for appropriate choices of function h , that also generalises
classical results of the theory of differential subordination and superordination |
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