CONVOLUTIONS AND HOLDER-TYPE INEQUALITIES FOR A CERTAIN CLASS OF ANALYTIC FUNCTIONS

被引：0
|
作者：
Nishiwaki, Junichi [1 ]
Owa, Shigeyoshi [1 ]
Srivastava, H. M. [2 ]
机构：
[1] Kinki Univ, Dept Math, Osaka 5778502, Japan
[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2008年 / 11卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Analytic functions; uniformly starlike functions; Holder inequality; Hadamard product (or convolution); elliptic; parabolic and hyperbolic domains;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Applying the coefficient inequalities for functions f (z) belonging to a certain class M D(alpha, beta)of normalized analytic functions in the open unit disk U, two subclasses M-1, (alpha, beta) and M-2, (alpha, beta) are defined. The object of the present paper is to derive some properties for functions f (z) in the classes M-1,(alpha, beta) and M-2,(alpha, beta) involving their generalized convolution by utilizing methods based upon the Holder-type inequalities.
引用
收藏
页码：717 / 727
页数：11
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