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
相关论文
共 50 条
  • [31] On Some Differential Inequalities for Certain Analytic Functions
    Jeyaraman, M. P.
    Lavanya, V. Agnes Sagaya Judy
    Farzana, H. Aaisha
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2023, 18 (02): : 127 - 137
  • [32] On the starlikeness of certain class of analytic functions
    Sivasubramanian, S.
    Darus, Maslina
    Ibrahim, Rabha W.
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) : 112 - 118
  • [33] CONSTRUCTIVE DESCRIPTION OF ANALYTIC-FUNCTIONS OF THE HOLDER CLASS
    BRUI, IN
    MATHEMATICAL NOTES, 1990, 47 (5-6) : 433 - 437
  • [34] Holomorphic Holder-type spaces and composition operators
    Blasco, Oscar
    Karapetyants, Alexey
    Restrepo, Joel
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (17) : 10005 - 10026
  • [35] PROPERTY OF A HOLDER-TYPE INEQUALITY AND ITS APPLICATION
    Tian, Jing-Feng
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (03): : 831 - 841
  • [36] A Holder-type inequality on a regular rooted tree
    Falconer, K. J.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 423 (02) : 913 - 923
  • [37] Certain Inequalities of Multivalent Analytic Functions with Missing Coefficients
    Cang, Yi-Ling
    Yan, Cai-Mei
    JOURNAL OF COMPLEX ANALYSIS, 2013,
  • [38] CERTAIN COEFFICIENT INEQUALITIES FOR SOME SUBCLASSES OF ANALYTIC FUNCTIONS
    Rosy, Thomas
    Kavitha, S.
    Murugusundaramoorthy, G.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2009, 38 (03): : 233 - 242
  • [39] On　Certain　Inequalities　for　Some　Analytic　Functions　and　Differential　Subordinations
    杨定恭
    东北数学, 1995, (02) : 199 - 204
  • [40] Fekete-Szego Inequalities for Certain Class of Analytic Functions of Complex Order Defined by Convolution
    EL-Ashwah, R. M.
    Aouf, M. K.
    Abdulkarem, F. M.
    JOURNAL OF ADVANCED MATHEMATICS AND APPLICATIONS, 2015, 4 (01) : 17 - 23
12345