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

Abdel Fatah Azzam; Shujaat Ali Shah; Alhanouf Alburaikan; Sheza M. El-Deeb

doi:10.3390/sym15020509

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

Abdel Fatah Azzam
, Shujaat Ali Shah
, Alhanouf Alburaikan
, Sheza M. El-Deeb

Mathematics

Quaid-E-Awam University of Engineering
Qassim University
Damietta University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Article number	509
Journal	Symmetry
Volume	15
Issue number	2
DOIs	https://doi.org/10.3390/sym15020509
State	Published - Feb 2023

Keywords

analytic functions
fractional derivative, fuzzy q-starlike functions
fuzzy q-convex functions
q-Ruscheweyh derivative operator
q-Srivastava–Attiya operator

Access to Document

10.3390/sym15020509

Cite this

@article{963773770c4b4a5c8b80cdf4f6e9a7a2,

title = "Certain Inclusion Properties for the Class of q-Analogue of Fuzzy α-Convex Functions",

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.",

keywords = "analytic functions, fractional derivative, fuzzy q-starlike functions, fuzzy q-convex functions, q-Ruscheweyh derivative operator, q-Srivastava–Attiya operator",

author = "Azzam, \{Abdel Fatah\} and \{Ali Shah\}, Shujaat and Alhanouf Alburaikan and El-Deeb, \{Sheza M.\}",

note = "Publisher Copyright: {\textcopyright} 2023 by the authors.",

year = "2023",

month = feb,

doi = "10.3390/sym15020509",

language = "English",

volume = "15",

journal = "Symmetry",

issn = "2073-8994",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "2",

}

TY - JOUR

T1 - Certain Inclusion Properties for the Class of q-Analogue of Fuzzy α-Convex Functions

AU - Azzam, Abdel Fatah

AU - Ali Shah, Shujaat

AU - Alburaikan, Alhanouf

AU - El-Deeb, Sheza M.

PY - 2023/2

Y1 - 2023/2

N2 - 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.

AB - 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.

KW - analytic functions

KW - fractional derivative, fuzzy q-starlike functions

KW - fuzzy q-convex functions

KW - q-Ruscheweyh derivative operator

KW - q-Srivastava–Attiya operator

UR - https://www.scopus.com/pages/publications/85149240070

U2 - 10.3390/sym15020509

DO - 10.3390/sym15020509

M3 - Article

AN - SCOPUS:85149240070

SN - 2073-8994

VL - 15

JO - Symmetry

JF - Symmetry

IS - 2

M1 - 509

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this