New results about fuzzy $ \mathbf{\gamma } $-convex functions connected with the $ \mathfrak{q} $-analogue multiplier-Noor integral operator

Author:

Ali Ekram E.12,Vivas-Cortez Miguel3,El-Ashwah Rabha M.4

Affiliation:

1. Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia

2. Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt

3. Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias Fisicas y Matematicas, Pontificia Universidad Católica del Ecuador, Av. 12 de Octubre 1076, Quito 170143, Ecuador

4. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

Abstract

<abstract><p>The features of analytical functions were mostly studied using a fuzzy subset and a $ \mathfrak{q} $-difference operator in this study, as we investigate many fuzzy differential subordinations related to the $ \mathfrak{q} $-analogue multiplier-Noor integral operator. By applying fuzzy subordination to univalent functions whose range is symmetric with respect to the real axis, we create a few new subclasses of analytical functions. We define numerous classes related to the family of linear $ \mathfrak{q} $ -operators and introduce them. Here, we focus on the inclusion results and other integral features.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference52 articles.

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3. S. S. Miller, P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J., 28 (1981), 157–171. https://doi.org/10.1307/mmj/1029002507

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5. G. I. Oros, G. Oros, Dominants and best dominants in fuzzy differential subordinations, Stud. Univ. Babes-Bolyai Math., 57 (2012), 239–248.

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