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Some functional inequalities and inclusion relationships associated with certain families of integral operators

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成果类型:
期刊论文
作者:
Gao, CY*;Yuan, SM;Srivastava, HM
通讯作者:
Gao, CY
作者机构:
[Gao, CY] Changsha Univ Sci & Technol, Dept Math & Comp Sci, Changsha 410076, Hunan, Peoples R China.
Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada.
通讯机构:
[Gao, CY] C
Changsha Univ Sci & Technol, Dept Math & Comp Sci, Changsha 410076, Hunan, Peoples R China.
语种:
英文
关键词:
Analytic functions;Univalent functions;Starlike functions;Convex functions;Close-to-convex functions;Quasi-convex functions;Jung-Kim-Srivastava operators;Bernardi operator;Miller-Mocanu lemma;Multiplier transformation;Fractional integral;Fractional derivative
期刊:
Computers & Mathematics with Applications
ISSN:
0898-1221
年:
2005
卷:
49
期:
11-12
页码:
1787-1795
基金类别:
The present investigation was supported, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant OGP0007353.
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
By making use of certain familiar integral operators, the authors introduce and investigate several new subclasses of starlike, convex, close-to-convex, and quasi-convex functions. Among other results presented here, the authors establish a number of inclusion relationships associated with some of these integral operators. Some of the results established in this paper would p...

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