A note on some relations between certain inequalities and normalized analytic functions-Reference-Cited by-同舟云学术

A note on some relations between certain inequalities and normalized analytic functions

Published:2018-12-01 Issue:2 Volume:10 Page:368-374
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Şan Müfit¹,Irmak Hüseyin¹

Affiliation:

1. Department of Mathematics, Faculty of Science , Çankırı Karatekin University , Turkey

Abstract

Abstract In this note, an extensive result consisting of several relations between certain inequalities and normalized analytic functions is first stated and some consequences of the result together with some examples are next presented. For the proof of the presented result, some of the assertions indicated in [5], [8] and [11] along with the results in [3] and [4] are also considered.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2018-0028

Reference11 articles.

1. [1] P. L. Duren, Univalent Functions, in: A Series of Comprehensive Studies in Mathematics, vol. 259, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1983.

2. [2] A. W. Goodman, Univalent Functions, Vols. I and II, Polygonal Publishing House, Washington, New Jersey, 1983.

3. [3] H. Irmak, M. San, Some relations between certain inequalities concerning analytic and univalent functions, Appl. Math. Lett., 23 (8) (2010), 897–901.

4. [4] H. Irmak, T. Bolboaca, N. Tuneski, Some relations between certain classes consisting of a-convex type and Bazilevic type functions, Appl. Math. Lett., 24 (12) (2011), 2010–2014.

5. [5] S. S. Miller, P. T. Mocanu, Differential Subordinations, Theory and Applications, Marcel Dekker, New York-Basel, 2000.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A note on some elementary properties and applications of certain operators to certain functions analytic in the unit disk;Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica;2020-12-01

2. Some results concerning the Tremblay operator and some of its applications to certain analytic functions;Acta Universitatis Sapientiae, Mathematica;2019-12-01

3. Certain basic information related to the Tremblay operator and some applications in connection therewith;General Mathematics;2019-12-01