Strong subordination and superordination with sandwich-type theorems using integral operators

Authors

  • Parviz ARJOMANDINIA Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran, e-mail: p.arjomandinia@gmail.com
  • Rasoul AGHALARY Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran, e-mail: r.aghalary@urmia.ac.ir

DOI:

https://doi.org/10.24193/subbmath.2021.4.06

Keywords:

Univalent function, integral operator, strong differential subordination and superordination.

Abstract

The notions of strong differential subordination and superordination have been studied recently by many authors. In the present paper, using these concepts, we obtain some preserving properties of certain nonlinear integral operator defined on the space of normalized analytic functions in D×D. The sandwich- type theorems and consequences of the main results are also considered.

Mathematics Subject Classification (2010): 30C45, 30C80.

References

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Published

2021-12-30

How to Cite

ARJOMANDINIA, P., & AGHALARY, R. (2021). Strong subordination and superordination with sandwich-type theorems using integral operators. Studia Universitatis Babeș-Bolyai Mathematica, 66(4), 667–675. https://doi.org/10.24193/subbmath.2021.4.06

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