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Journal of Inequalities and Applications
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On the Univalence Criterion of a General Integral Operator

Journal of Inequalities and Applications volume 2008, Article number: 702715 (2008) Cite this article

Abstract

In this paper we considered an general integral operator and three classes of univalent functions for which the second order derivative is equal to zero. By imposing supplimentary conditions for these functions we proved some univalent conditions for the considered general operator. Also some interesting particullar results are presented.

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Authors and Affiliations

  1. Department of Mathematics, "1 Decembrie 1918" University, Alba Iulia, 510009, Romania

    Daniel Breaz

  2. Department of Mathematics, Faculty of Science and Arts, University of Dicle, Diyarbakir, 21280, Turkey

    HÖzlem Güney

Authors
  1. Daniel Breaz
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  2. HÖzlem Güney
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Correspondence to Daniel Breaz.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Breaz, D., Güney, H. On the Univalence Criterion of a General Integral Operator. J Inequal Appl 2008, 702715 (2008). https://doi.org/10.1155/2008/702715

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  • DOI: https://doi.org/10.1155/2008/702715

Keywords

  • Integral Operator
  • Univalent Function
  • General Operator
  • Order Derivative
  • Univalent Condition