Strong starlikeness for a class of convex functions

Stanisława Kanas; Toshiyuki Sugawa

doi:10.1016/j.jmaa.2007.03.025

Strong starlikeness for a class of convex functions

Stanisława Kanas, Toshiyuki Sugawa

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

By means of the Briot-Bouquet differential subordination, we estimate the order of strong starlikeness of strongly convex functions of a prescribed order. We also make numerical experiments to examine our estimates.

Original language	English
Pages (from-to)	1005-1017
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	336
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2007.03.025
Publication status	Published - 2007 Dec 15

Keywords

Differential subordination
Strongly convex
Strongly starlike

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2007.03.025

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title = "Strong starlikeness for a class of convex functions",

abstract = "By means of the Briot-Bouquet differential subordination, we estimate the order of strong starlikeness of strongly convex functions of a prescribed order. We also make numerical experiments to examine our estimates.",

keywords = "Differential subordination, Strongly convex, Strongly starlike",

author = "Stanis{\l}awa Kanas and Toshiyuki Sugawa",

note = "Funding Information: ✩ The second author was partially supported by the Ministry of Education, Grant-in-Aid for Encouragement of Young Scientists (B), 14740100 and Grant-in-Aid for Scientific Research (B), 17340039. * Corresponding author. E-mail addresses: skanas@prz.rzeszow.pl (S. Kanas), sugawa@math.sci.hiroshima-u.ac.jp (T. Sugawa).",

year = "2007",

month = dec,

day = "15",

doi = "10.1016/j.jmaa.2007.03.025",

language = "English",

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journal = "Journal of Mathematical Analysis and Applications",

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TY - JOUR

T1 - Strong starlikeness for a class of convex functions

AU - Kanas, Stanisława

AU - Sugawa, Toshiyuki

N1 - Funding Information: ✩ The second author was partially supported by the Ministry of Education, Grant-in-Aid for Encouragement of Young Scientists (B), 14740100 and Grant-in-Aid for Scientific Research (B), 17340039. * Corresponding author. E-mail addresses: skanas@prz.rzeszow.pl (S. Kanas), sugawa@math.sci.hiroshima-u.ac.jp (T. Sugawa).

PY - 2007/12/15

Y1 - 2007/12/15

N2 - By means of the Briot-Bouquet differential subordination, we estimate the order of strong starlikeness of strongly convex functions of a prescribed order. We also make numerical experiments to examine our estimates.

AB - By means of the Briot-Bouquet differential subordination, we estimate the order of strong starlikeness of strongly convex functions of a prescribed order. We also make numerical experiments to examine our estimates.

KW - Differential subordination

KW - Strongly convex

KW - Strongly starlike

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SN - 0022-247X

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