A class of integral operators preserving subordination and superordination

被引:1
作者
Cho, Nak Eun [1 ]
Bulboaca, Teodor [2 ]
机构
[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea
[2] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania
基金
新加坡国家研究基金会;
关键词
differential subordination; differential superordination; univalent functions; starlike functions; convex functions; integral operators; UNIVALENT-FUNCTIONS;
D O I
10.1080/17476933.2011.603416
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we obtain the subordination- and superordination-preserving properties of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk. A sandwich-type theorem for these integral operators is also presented.
引用
收藏
页码:909 / 921
页数:13
相关论文
共 15 条
[1]   CONVEX AND STARLIKE UNIVALENT FUNCTIONS [J].
BERNARDI, SD .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 135 (JAN) :429-&
[2]   A class of superordination-preserving integral operators [J].
Bulboaca, T .
INDAGATIONES MATHEMATICAE-NEW SERIES, 2002, 13 (03) :301-311
[3]  
Bulboaca T., 2004, T I MATH NAT ACAD SC, V3, P19
[4]  
Bulboaca T., 1997, Bull. Korean Math. Soc., V32, P627
[5]  
Kaplan W., 1952, Mich. Math. J, V1, P169, DOI DOI 10.1307/MMJ/1028988895
[6]   JAKUBOWSKI STARLIKE INTEGRAL-OPERATORS [J].
KUMAR, V ;
SHUKLA, SL .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1984, 37 (AUG) :117-127
[7]   SOME CLASSES OF REGULAR UNIVALENT FUNCTIONS [J].
LIBERA, RJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (04) :755-&
[8]  
Miller S. S., 2003, Complex Variables, Theory and Application: An International Journal, V48, P815, DOI [10.1080/02781070310001599322, DOI 10.1080/02781070310001599322]
[9]  
Miller S. S., 2000, Monographs and Textbooks in Pure and Applied Mathematics, V225
[10]   CLASSES OF UNIVALENT INTEGRAL-OPERATORS [J].
MILLER, SS ;
MOCANU, PT .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 157 (01) :147-165