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Univalence Conditions and Properties for Some New Integral Operators

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Mathematics Without Boundaries

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Abstract

In this paper we introduce three new integral operators. For these operators we prove the univalence conditions, the convexity order and some other properties for some special classes of functions. In view of starlike and convex functions classes, we prove for these operators convexity properties, starlike properties and some other properties that are obtained in analytic form. Subject Classifications: 30C45.

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Acknowledgement

This work was partially supported by the strategic project POSDRU 107/1.5/S/77265, inside POSDRU Romania 2007–2013 co-financed by the European Social Fund: Investing in People.

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Authors and Affiliations

  1. University of Piteşti, Târgul din Vale Str., No. 1, Piteşti, Romania

    Nicoleta Ularu

  2. “1 Decembrie 1918” University of Alba Iulia, N. Iorga Str., No. 11-13, 510009, Alba Iulia, Romania

    Daniel Breaz

Authors
  1. Nicoleta Ularu
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  2. Daniel Breaz
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Corresponding author

Correspondence to Nicoleta Ularu .

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Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  2. Dept. Industrial & Systems Engineering, University of Florida, Gainesville, Florida, USA

    Panos M. Pardalos

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Ularu, N., Breaz, D. (2014). Univalence Conditions and Properties for Some New Integral Operators. In: Rassias, T., Pardalos, P. (eds) Mathematics Without Boundaries. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1106-6_21

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