CERTAIN FAMILY OF INTEGRAL OPERATORS PRESERVING SUBORDINATION AND SUPERORDINATION

doi:10.1016/S0252-9602(14)60077-1

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (4): 1166-1178.doi: 10.1016/S0252-9602(14)60077-1

CERTAIN FAMILY OF INTEGRAL OPERATORS PRESERVING SUBORDINATION AND SUPERORDINATION

Mohamed K. AOUF|Teodor BULBOACÃ|Tamer M. SEOUDY*

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt； Faculty of Mathematics and Computer Science, Babes-Bolyai University, 400084 Cluj-Napoca, Romania； Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt

收稿日期:2013-03-11 修回日期:2013-11-04 出版日期:2014-07-20 发布日期:2014-07-20
通讯作者: Tamer M.SEOUDY，tms00@fayoum.edu.eg E-mail:mkaouf127@yahoo.com；bulboaca@math.ubbcluj.ro；tms00@fayoum.edu.eg

CERTAIN FAMILY OF INTEGRAL OPERATORS PRESERVING SUBORDINATION AND SUPERORDINATION

Mohamed K. AOUF|Teodor BULBOACÃ|Tamer M. SEOUDY*

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt； Faculty of Mathematics and Computer Science, Babes-Bolyai University, 400084 Cluj-Napoca, Romania； Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt

Received:2013-03-11 Revised:2013-11-04 Online:2014-07-20 Published:2014-07-20
Contact: Tamer M.SEOUDY，tms00@fayoum.edu.eg E-mail:mkaouf127@yahoo.com；bulboaca@math.ubbcluj.ro；tms00@fayoum.edu.eg

摘要/Abstract

摘要：

We obtain subordination, superordination and sandwich-preserving new theo-rems for certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorem for these integral operators is also derived, and the results generalize some recently ones.

关键词: analytic function, convex function, differential subordination and superordina-tion, subordination chain, integral operator

Abstract:

Key words: analytic function, convex function, differential subordination and superordina-tion, subordination chain, integral operator

中图分类号:

30C80

Mohamed K. AOUF, Teodor BULBOACA, Tamer M. SEOUDY. CERTAIN FAMILY OF INTEGRAL OPERATORS PRESERVING SUBORDINATION AND SUPERORDINATION[J]. 数学物理学报(英文版), 2014, 34(4): 1166-1178.

Mohamed K. AOUF, Teodor BULBOACA, Tamer M. SEOUDY. CERTAIN FAMILY OF INTEGRAL OPERATORS PRESERVING SUBORDINATION AND SUPERORDINATION[J]. Acta mathematica scientia,Series B, 2014, 34(4): 1166-1178.

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CERTAIN FAMILY OF INTEGRAL OPERATORS PRESERVING SUBORDINATION AND SUPERORDINATION

CERTAIN FAMILY OF INTEGRAL OPERATORS PRESERVING SUBORDINATION AND SUPERORDINATION

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