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

^*Autor correspondiente de este trabajo

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2 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	1935
Publicación	Symmetry
Volumen	15
N.º	10
DOI	https://doi.org/10.3390/sym15101935
Estado	Publicada - 19 oct. 2023

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© 2023 by the authors.

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Financiadores	Número del financiador
Pontificia Universidad Católica del Ecuador	UIO2022

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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",

author = "Miguel Vivas-Cortez and Asia Latif and Rashida Hussain",

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AU - Vivas-Cortez, Miguel

AU - Latif, Asia

AU - Hussain, Rashida

PY - 2023/10/19

Y1 - 2023/10/19

N2 - 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.

AB - 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.

KW - Hermite–Hadamard inequality

KW - Hermite–Hadamard–Fejér inequality

KW - Hölder’s integral inequality

KW - Raina fractional integrals

KW - power mean inequality

KW - ϑ-convex function

UR - https://www.scopus.com/pages/publications/85175442560

U2 - 10.3390/sym15101935

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JO - Symmetry

JF - Symmetry

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Some Fractional Integral Inequalities by Way of Raina Fractional Integrals

Resumen

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