Trapezium-type AB−fractional Integral Inequalities Using Generalized Convex and Quasi Φ−Convex Functions

Miguel Vivas-Cortez; Artion Kashuri; Jorge Eliecer Hernández Hernández

doi:10.18576/pfda/080107

Trapezium-type AB−fractional Integral Inequalities Using Generalized Convex and Quasi Φ−Convex Functions

Miguel Vivas-Cortez^*
, Artion Kashuri
, Jorge Eliecer Hernández Hernández

^*Autor correspondiente de este trabajo

Producción científica: Revista › Artículo › revisión exhaustiva

2 Citas (Scopus)

Resumen

The Hermite-Hadamard inequality and an identity for AB−fractional integrals are demonstrated in this study using generalized Φ−convex functions. Some Hermite–Hadamard type inequalities are also established using the stated identity and theAB−fractional integral operator. A number of unique examples have been identified.

Idioma original	Inglés
Páginas (desde-hasta)	107-122
Número de páginas	16
Publicación	Progress in Fractional Differentiation and Applications
Volumen	8
N.º	1
DOI	https://doi.org/10.18576/pfda/080107
Estado	Publicada - 2022

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© 2022 NSP

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Pontificia Universidad Católica del Ecuador
Universidad Centroccidental Lisandro Alvarado

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title = "Trapezium-type AB−fractional Integral Inequalities Using Generalized Convex and Quasi Φ−Convex Functions",

abstract = "The Hermite-Hadamard inequality and an identity for AB−fractional integrals are demonstrated in this study using generalized Φ−convex functions. Some Hermite–Hadamard type inequalities are also established using the stated identity and theAB−fractional integral operator. A number of unique examples have been identified.",

keywords = "Ab-fractional integrals, Convexity, Hermite-hadamard inequality, H{\"o}lder inequality, Mittag-leffler function, Power mean inequality",

author = "Miguel Vivas-Cortez and Artion Kashuri and Hern{\'a}ndez, \{Jorge Eliecer Hern{\'a}ndez\}",

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year = "2022",

doi = "10.18576/pfda/080107",

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AU - Vivas-Cortez, Miguel

AU - Kashuri, Artion

AU - Hernández, Jorge Eliecer Hernández

PY - 2022

Y1 - 2022

N2 - The Hermite-Hadamard inequality and an identity for AB−fractional integrals are demonstrated in this study using generalized Φ−convex functions. Some Hermite–Hadamard type inequalities are also established using the stated identity and theAB−fractional integral operator. A number of unique examples have been identified.

AB - The Hermite-Hadamard inequality and an identity for AB−fractional integrals are demonstrated in this study using generalized Φ−convex functions. Some Hermite–Hadamard type inequalities are also established using the stated identity and theAB−fractional integral operator. A number of unique examples have been identified.

KW - Ab-fractional integrals

KW - Convexity

KW - Hermite-hadamard inequality

KW - Hölder inequality

KW - Mittag-leffler function

KW - Power mean inequality

UR - https://www.scopus.com/pages/publications/85123580793

U2 - 10.18576/pfda/080107

DO - 10.18576/pfda/080107

M3 - Article

AN - SCOPUS:85123580793

SN - 2356-9336

VL - 8

SP - 107

EP - 122

JO - Progress in Fractional Differentiation and Applications

JF - Progress in Fractional Differentiation and Applications

IS - 1

ER -

Trapezium-type AB−fractional Integral Inequalities Using Generalized Convex and Quasi Φ−Convex Functions

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