On a subclass of convex functions

Authors

  • Olga ENGEL Babes-Bolyai University Faculty of Mathematics and Computer Sciences 1, Kogalniceanu Street 400084 Cluj-Napoca, Romania e-mail: engel_olga@hotmail.com https://orcid.org/0000-0002-6432-2936
  • Róbert SZÁSZ Sapientia Hungarian University of Transilvania Faculty of Tehnical and Human Sciences 1C, Corunca, 540485 Targu-Mures, Romania e-mail: szasz_robert2001@yahoo.com https://orcid.org/0000-0003-1796-7632

Keywords:

Starlikeness, univalent function, composition of functions.

Abstract

In this paper we study a subclass of convex functions. Among others we prove an interesting property regarding the composition of functions from this class. The basic tool of the proof is the theory of differential subordination.

Mathematics Subject Classification (2010): 30C45.

References

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

Mocanu, P.T., Bulboaca, T., Salagean, G.S., Teoria Geometrica a Functiilor Univalente, Ed. a II-a, Casa Cartii de Stiinta, Cluj-Napoca, 2006, 460+9 pag., ISBN 973-686-959-8 (Romanian only).

STUDIA UBB MATHEMATICA, Volume 61 (LXI), No. 2, June 2016

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Published

2016-06-30

How to Cite

ENGEL, O., & SZÁSZ, R. (2016). On a subclass of convex functions. Studia Universitatis Babeș-Bolyai Mathematica, 61(2), 137–146. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5540

Issue

Volume 61, No. 2, June 2016

Section

Articles

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Copyright (c) 2016 Studia Universitatis Babeș-Bolyai Mathematica

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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