Some Fractional Integral Inequalities by Way of Raina Fractional Integrals

Miguel Vivas-Cortez; Asia Latif; Rashida Hussain

doi:10.3390/sym15101935

Some Fractional Integral Inequalities by Way of Raina Fractional Integrals

Miguel Vivas-Cortez
, Asia Latif^*
, Rashida Hussain

^*Corresponding author for this work

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

2 Scopus citations

Abstract

In this research, some novel Hermite–Hadamard–Fejér-type inequalities using Raina fractional integrals for the class of (Formula presented.) -convex functions are obtained. These inequalities are more comprehensive and inclusive than the corresponding ones present in the literature.

Original language	English
Article number	1935
Journal	Symmetry
Volume	15
Issue number	10
DOIs	https://doi.org/10.3390/sym15101935
State	Published - 19 Oct 2023

Bibliographical note

Publisher Copyright:
© 2023 by the authors.

Funding

This research is supported by Pontificia Universidad Católica del Ecuador Proyect Título: “Algunos resultados Cualitativos sobre Ecuaciones diferenciales fraccionales y desigualdades integrales” Cod UIO2022.

Funders	Funder number
Pontificia Universidad Católica del Ecuador	UIO2022

Keywords

Hermite–Hadamard inequality
Hermite–Hadamard–Fejér inequality
Hölder’s integral inequality
Raina fractional integrals
power mean inequality
ϑ-convex function

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10.3390/sym15101935

Cite this

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title = "Some Fractional Integral Inequalities by Way of Raina Fractional Integrals",

abstract = "In this research, some novel Hermite–Hadamard–Fej{\'e}r-type inequalities using Raina fractional integrals for the class of (Formula presented.) -convex functions are obtained. These inequalities are more comprehensive and inclusive than the corresponding ones present in the literature.",

keywords = "Hermite–Hadamard inequality, Hermite–Hadamard–Fej{\'e}r inequality, H{\"o}lder{\textquoteright}s integral inequality, Raina fractional integrals, power mean inequality, ϑ-convex function",

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AU - Hussain, Rashida

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KW - Hermite–Hadamard inequality

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KW - Hölder’s integral inequality

KW - Raina fractional integrals

KW - power mean inequality

KW - ϑ-convex function

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Some Fractional Integral Inequalities by Way of Raina Fractional Integrals

Abstract

Bibliographical note

Funding

Keywords

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