CERTAIN FAMILY OF INTEGRAL OPERATORS PRESERVING SUBORDINATION AND SUPERORDINATION

CERTAIN FAMILY OF INTEGRAL OPERATORS PRESERVING SUBORDINATION AND SUPERORDINATION

在线阅读下载PDF

导出

摘要 We obtain subordination, superordination and sandwich-preserving new theorems 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. We obtain subordination, superordination and sandwich-preserving new theorems 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.

作者 Mohamed K.AOUF Teodor BULBOACA Tamer M.SEOUDY

机构地区 Department of Mathematics Faculty of Mathematics and Computer Science Department of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2014年第4期1166-1178,共13页 数学物理学报（B辑英文版）

关键词 analytic function convex function differential subordination and supcrordination： subordination chain integral operator analytic function, convex function differential subordination and supcrordination： subordination chain integral operator

分类号 O177 [理学—基础数学]

作者简介 E-mail： mkaouf127@yahoo.comE-mail： bulboaca@math.ubbcluj. roE-mail ： tms00@fayoum.edu. eg Corresponding author： T.M. SEOUDY.

引文网络
相关文献

参考文献2

1Teodor Bulboac.SANDWICH-TYPE RESULTS FOR A CLASS OF CONVEX INTEGRAL OPERATORS[J].Acta Mathematica Scientia,2012,32(3):989-1001. 被引量：1
2Nak Eun CHO,Teodor BULBOACA.Subordination and Superordination Properties for a Class of Integral Operators[J].Acta Mathematica Sinica,English Series,2010,26(3):515-522. 被引量：1

二级参考文献26

1Miller, S. S., Mocanu, P. T.: Differential Subordinations, Theory and Applications, Marcel Dekker, Inc., New York, Basel, 2000.
2Miller, S. S., Mocanu, P. T.: Subordinants of differential superordinations. Complex Var. Theory Appl., 48, 815-826 (2003).
3Shanmugam, T. N., Ramachandran, C., Darus M., et al.: Differential sandwich theorems for some subclasses of analytic functions involving a linear operator. Acta Math. Univ. Comenianae, 74, 287-294 (2007).
4Miller, S. S., Mocanu, P. T., Reade, M. O.: Subordination-preserving integral operators. Trans. Amer. Math. Soc., 283, 605-615 (1984).
5Bulboaca, T.: Integral operators that preserve the subordination. Bull. Korean Math. Soc., 32, 627-636 (1997).
6Bulboaca T.: On a special integral subordination. Indian J. Pure Appl. Math., 28, 361-369 (1997).
7Bulboaca, T.: Modified subordination-preserving integral operators. Pure Math. Appl., 9, 29-35 (1998).
8Bulboaca, T.: A class of superordinatiompreserving integrai operators. Indag. Math. N. S., 13, 301-311 (2002).
9Bulboaca, T.: A class of double subordination-preserving integral operators. Pure Math. Appl., 15, 87 -106 (200a).
10Miller, S. S., Mocanu, P. T.: Differential subordinations and univalent functions. Michigan Math. J., 28, 157-171 (1981).

1Nak Eun CHO,Teodor BULBOACA.Subordination and Superordination Properties for a Class of Integral Operators[J].Acta Mathematica Sinica,English Series,2010,26(3):515-522. 被引量：1
2Teodor Bulboac.SANDWICH-TYPE RESULTS FOR A CLASS OF CONVEX INTEGRAL OPERATORS[J].Acta Mathematica Scientia,2012,32(3):989-1001. 被引量：1
3Jugal K.PRAJAPAT,Teodor BULBOACA.Double Subordination Preserving Properties for a New Generalized Srivastava-Attiya Integral Operator[J].Chinese Annals of Mathematics,Series B,2012,33(4):569-582.
4王双进,李凌云,段雪松.一类改进的BA模型度分布的普适化解析[J].河北工业大学学报,2011,40(2):90-93.
5M.P.JEYARAMAN,T.K.SURESH,E.KESHAVA REDDY.Strong Differential Subordination and Superordination Properties of Phi-Like Functions[J].Journal of Mathematical Research with Applications,2016,36(3):291-300.
6Nak Eun Cho.SANDWICH-TYPE THEOREMS FOR MEROMORPHIC MULTIVALENT FUNCTIONS ASSOCIATED WITH THE LIU-SRIVASTAVA OPERATOR[J].Acta Mathematica Scientia,2012,32(3):929-941.
7赵凯.SOME BOUNDED RESULTS OF θ(t)-TYPE SINGULAR INTEGRAL OPERATORS[J].Applied Mathematics and Mechanics(English Edition),2000,21(5):573-578.
8周立芳.ON THE BOUNDEDNESS AND THE NORM OF A CLASS OF INTEGRAL OPERATORS[J].Acta Mathematica Scientia,2015,35(6):1475-1482. 被引量：2
9A.O.Mostafa,M.K.Aouf.Subordination Results for p-Valent Meromorphic Functions Associated with a Linear Operator[J].Analysis in Theory and Applications,2014,30(4):369-376.
10白锦东.EIGENVECTORS OF NONLINEAR INTEGRAL OPERATORS OF HAMMERSTEIN TYPE[J].Chinese Science Bulletin,1984,29(5).

Acta Mathematica Scientia

2014年第4期

浏览历史

内容加载中请稍等...

CERTAIN FAMILY OF INTEGRAL OPERATORS PRESERVING SUBORDINATION AND SUPERORDINATION

参考文献2

二级参考文献26

相关作者

相关机构

相关主题

浏览历史