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

Müfit Şan; Hüseyin Irmak

doi:10.2478/ausm-2018-0028

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

Acta Universitatis Sapientiae, Mathematica

Volume 10 (2018): Issue 2 (December 2018)

By: Müfit Şan and Hüseyin Irmak

Open Access

|Mar 2019

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.

References

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[3] H. Irmak, M. San, Some relations between certain inequalities concerning analytic and univalent functions, Appl. Math. Lett., 23 (8) (2010), 897–901.10.1016/j.aml.2010.04.006
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[8] P. T. Mocanu, Two simple sufficient conditions for starlikenes, Mathematica (Cluj), 34 (57) (1992), 175–181.
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Articles in this issue

DOI: https://doi.org/10.2478/ausm-2018-0028 | Journal eISSN: 2066-7752

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Language: English

Page range: 368 - 374

Submitted on: Jun 11, 2017

Published online: Mar 4, 2019

Published in print: Dec 1, 2018

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Keywords:

complex plane,

domains in the complex plane,

differential inequalities in the complex plane,

normalized analytic functions,

univalent,

starlikeness,

convexity

MSC:

30C45,

26A33,

30C45

Related subjects:

Mathematics,

General mathematics

© 2019 Müfit Şan, Hüseyin Irmak, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 10 (2018): Issue 2 (December 2018)