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

共 50 条

[1] Classes of functions associated with bounded Mocanu variation
Jacek Dziok
Journal of Inequalities and Applications, 2013
[2] Erratum to: Classes of functions associated with bounded Mocanu variation
Jacek Dziok
Journal of Inequalities and Applications, 2014
[3] Classes of functions associated with bounded Mocanu variation (vol 2014, pg 197, 2014)
Dziok, Jacek
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[4] FUNCTIONS WITH BOUNDED MOCANU VARIATION
COONCE, HB
ZIEGLER, MR
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A104 - A105
[5] On certain analytic functions associated with Ruscheweyh derivatives and bounded Mocanu variation
Noor, Khalida Inayat
Hussain, Saqib
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (02) : 1145 - 1152
[6] On analytic functions with generalized bounded Mocanu variation
Noor, Khalida Inayat
Muhammad, Ali
APPLIED MATHEMATICS AND COMPUTATION, 2008, 196 (02) : 802 - 811
[7] ON A GENERALIZATION OF THE CLASS OF FUNCTIONS WITH BOUNDED MOCANU VARIATION
THANGAMANI, J
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1981, 90 (03): : 213 - 218
[8] Some subclasses of analytic functions with bounded Mocanu variation
S. Z. H. Bukhari
K. I. Noor
Acta Mathematica Hungarica, 2010, 126 : 199 - 208
[9] SOME SUBCLASSES OF ANALYTIC FUNCTIONS WITH BOUNDED MOCANU VARIATION
Bukhari, S. Z. H.
Noor, K. I.
ACTA MATHEMATICA HUNGARICA, 2010, 126 (03) : 199 - 208
[10] On generalized bounded Mocanu variation associated with conic domain
Noor, Khalida Inayat
Malik, Sarfraz Nawaz
MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) : 844 - 852

← 1 2 3 4 5 →