New results about fuzzy γ-convex functions connected with the q-analogue multiplier-Noor integral operator

Ekram E. Ali; Miguel Vivas-Cortez; Rabha M. El-Ashwah

doi:10.3934/math.2024263

New results about fuzzy γ-convex functions connected with the q-analogue multiplier-Noor integral operator

Ekram E. Ali
, Miguel Vivas-Cortez^*
, Rabha M. El-Ashwah

^*Corresponding author for this work

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

6 Scopus citations

Abstract

The features of analytical functions were mostly studied using a fuzzy subset and a q-difference operator in this study, as we investigate many fuzzy differential subordinations related to the 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 q-operators and introduce them. Here, we focus on the inclusion results and other integral features.

Original language	English
Pages (from-to)	5451-5465
Number of pages	15
Journal	AIMS Mathematics
Volume	9
Issue number	3
DOIs	https://doi.org/10.3934/math.2024263
State	Published - 29 Jan 2024

Bibliographical note

Publisher Copyright:
© 2024 the Author(s).

Funding

Pontificia Universidad Catolica del Ecuador, Proyecto Titulo: “Algunos resultados Cualitativos Sobre Ecuaciones diferenciales fraccionales y desigualdades integrales” Cod UIO2022.

Funders	Funder number
Pontificia Universidad Católica del Ecuador	UIO2022
Pontificia Universidad Católica del Ecuador

Keywords

analytic functions
fuzzy q-convex functions
fuzzy q-starlike functions

Access to Document

10.3934/math.2024263

Cite this

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abstract = "The features of analytical functions were mostly studied using a fuzzy subset and a q-difference operator in this study, as we investigate many fuzzy differential subordinations related to the 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 q-operators and introduce them. Here, we focus on the inclusion results and other integral features.",

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KW - fuzzy q-convex functions

KW - fuzzy q-starlike functions

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ER -

New results about fuzzy γ-convex functions connected with the q-analogue multiplier-Noor integral operator

Abstract

Bibliographical note

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Keywords

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