Classes of functions associated with bounded Mocanu variation

被引：7

作者：

Dziok, Jacek ^{[1
]}

机构：

[1] Univ Rzeszow, Inst Math, PL-35310 Rzeszow, Poland

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

analytic functions; bounded variation; prestarlike function; Mocanu functions; linear operator; Hadamard product; subordination; MULTIVALENT ANALYTIC-FUNCTIONS; DZIOK-SRIVASTAVA OPERATOR; INCLUSION RELATIONSHIPS; STARLIKE FUNCTIONS; LINEAR-OPERATORS; SUBCLASSES; SUBORDINATION; CONVEX; FAMILY;

D O I：

10.1186/1029-242X-2013-349

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper we introduce the class of linear combinations of functions which are subordinated to a convex function. Some relationships between this class and the class of real-valued functions with bounded variation on [0, 2 pi] are obtained. Next, we define classes of functions associated with bounded Mocanu variation. By using the properties of multivalent prestarlike functions, we obtain various inclusion relationships between defined classes of functions. Some applications of the main results are also considered.

引用

页数：20

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