Certain Inclusion Properties for the Class of q-Analogue of Fuzzy α-Convex Functions-Reference-Cited by-同舟云学术

Certain Inclusion Properties for the Class of q-Analogue of Fuzzy α-Convex Functions

Published:2023-02-14 Issue:2 Volume:15 Page:509
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Azzam Abdel Fatah¹²^ORCID,Ali Shah Shujaat³^ORCID,Alburaikan Alhanouf⁴,El-Deeb Sheza M.⁴⁵^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia

2. Department of Mathematics, Faculty of Science, New Valley University, Elkharga 72511, Egypt

3. Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology (QUEST), Nawabshah 67450, Pakistan

4. Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University, Buraidah 52571, Saudi Arabia

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

Abstract

Recently, the properties of analytic functions have been mainly discussed by means of a fuzzy subset and a q-difference operator. We define certain new subclasses of analytic functions by using the fuzzy subordination to univalent functions whose range is symmetric with respect to the real axis. We introduce the family of linear q-operators and define various classes associated with these operators. The inclusion results and various integral properties are the main investigations of this article.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/2/509/pdf

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