Weighted Harmonic Means

被引：3

作者：

Kanas, S. ^{[1
]}

机构：

[1] Uniwers Rzeszow, Ul S Pigonia 1, PL-35310 Rzeszow, Poland

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2017年 / 11卷 / 08期

关键词：

Univalent functions; Subordination; Differential subordination; Harmonic means; Weighted harmonic means; Convex weighted harmonic means; UNIVALENT-FUNCTIONS; CONVEX-FUNCTIONS; OPERATOR;

D O I：

10.1007/s11785-017-0680-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this study is to develop a conception of the differential subordination involving harmonic means of the expressions , where p is an analytic function in the unit disk, such that . Here, we discuss convex weighted harmonic means and we find some applications in the theory of analytic functions.

引用

页码：1715 / 1728

页数：14

共 18 条

[1]

Agrrawal P., 2010, Journal of Financial Education, V36, P98

[2]

Ali RM, 2011, B MALAYS MATH SCI SO, V34, P611

[3] CLASSES OF MEROMORPHIC α-CONVEX FUNCTIONS [J].

Ali, Rosihan M. ;

Ravichandran, V. .

TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (04) :1479-1490

[4]

Chou Ya-lun., 1969, STAT ANAL

[5] Differential subordinations involving arithmetic and geometric means [J].

Crisan, O. ;

Kanas, S. .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 222 :123-131

[6] Differential Subordinations and Harmonic Means [J].

Kanas, Stanisawa ;

Tudor, Andreea-Elena .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (03) :1243-1253

[7] GENERATING FUNCTIONS FOR SOME CLASSES OF UNIVALENT FUNCTIONS [J].

LEWANDOWSKI, Z ;

MILLER, S ;

ZLOTKIEWICZ, E .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 56 (APR) :111-117

[8]

Liu JL, 2011, B MALAYS MATH SCI SO, V34, P21

[9]

Miller S. S., 2000, Monographs and Textbooks in Pure and Applied Mathematics, V225

[10]

Mocanu PT, 1969, MATH CLUJ, V34, P127

← 1 2 →