Inclusion results for the class of fuzzy α-convex functions

Shujaat Ali Shah; Ekram Elsayed Ali; Asghar Ali Maitlo; Thabet Abdeljawad; Abeer M. Albalahi

doi:10.3934/math.2023069

AIMS Mathematics (Jan 2023)

Inclusion results for the class of fuzzy α-convex functions

Shujaat Ali Shah,
Ekram Elsayed Ali ,
Asghar Ali Maitlo,
Thabet Abdeljawad ,
Abeer M. Albalahi

Affiliations

Shujaat Ali Shah: 1. Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah 67450, Pakistan
Ekram Elsayed Ali: 2. Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia 3. Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt
Asghar Ali Maitlo: 1. Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah 67450, Pakistan
Thabet Abdeljawad: 4. Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, 11586, KSA 5. Department of Medical Research, China Medical University, Taichung 40402, Taiwan
Abeer M. Albalahi: 2. Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia

DOI: https://doi.org/10.3934/math.2023069
Journal volume & issue: Vol. 8, no. 1
pp. 1375 – 1383

Abstract

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The notion of a fuzzy subset is used to introduce certain subclasses of analytic functions. Mainly, this article presents several inclusion results and integral preserving properties. Also, certain applications of the analytic functions in terms of fuzzy structure will be discussed.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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