Some fractional integral inequalities via h-Godunova-Levin preinvex function

Sabila Ali; Rana Safdar Ali; Miguel Vivas-Cortez; Shahid Mubeen; Gauhar Rahman; Kottakkaran Sooppy Nisar

doi:10.3934/math.2022763

Some fractional integral inequalities via h-Godunova-Levin preinvex function

Sabila Ali
, Rana Safdar Ali
, Miguel Vivas-Cortez^*
, Shahid Mubeen
, Gauhar Rahman
, Kottakkaran Sooppy Nisar

^*Autor correspondiente de este trabajo

Producción científica: Revista › Artículo › revisión exhaustiva

13 Citas (Scopus)

Resumen

In recent years, integral inequalities are investigated due to their extensive applications in several domains. The aim of the paper is to investigate certain new fractional integral inequalities which include Hermite-Hadamard inequality and different forms of trapezoid type inequalities related to Hermite-Hadamard inequality for h-Godunova-Levin preinvex function. Moreover, we compare our obtained results with the existing work in the literature and are represented by corollaries.

Idioma original	Inglés
Páginas (desde-hasta)	13832-13844
Número de páginas	13
Publicación	AIMS Mathematics
Volumen	7
N.º	8
DOI	https://doi.org/10.3934/math.2022763
Estado	Publicada - 23 may 2022

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© 2022 the Author(s), licensee AIMS Press.

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title = "Some fractional integral inequalities via h-Godunova-Levin preinvex function",

abstract = "In recent years, integral inequalities are investigated due to their extensive applications in several domains. The aim of the paper is to investigate certain new fractional integral inequalities which include Hermite-Hadamard inequality and different forms of trapezoid type inequalities related to Hermite-Hadamard inequality for h-Godunova-Levin preinvex function. Moreover, we compare our obtained results with the existing work in the literature and are represented by corollaries.",

keywords = "Hadamard inequality, fractional inequalities, h-Godunova-Levin convex and preinvex function",

author = "Sabila Ali and Ali, \{Rana Safdar\} and Miguel Vivas-Cortez and Shahid Mubeen and Gauhar Rahman and Nisar, \{Kottakkaran Sooppy\}",

note = "Publisher Copyright: {\textcopyright} 2022 the Author(s), licensee AIMS Press.",

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T1 - Some fractional integral inequalities via h-Godunova-Levin preinvex function

AU - Ali, Sabila

AU - Ali, Rana Safdar

AU - Vivas-Cortez, Miguel

AU - Mubeen, Shahid

AU - Rahman, Gauhar

AU - Nisar, Kottakkaran Sooppy

PY - 2022/5/23

Y1 - 2022/5/23

N2 - In recent years, integral inequalities are investigated due to their extensive applications in several domains. The aim of the paper is to investigate certain new fractional integral inequalities which include Hermite-Hadamard inequality and different forms of trapezoid type inequalities related to Hermite-Hadamard inequality for h-Godunova-Levin preinvex function. Moreover, we compare our obtained results with the existing work in the literature and are represented by corollaries.

AB - In recent years, integral inequalities are investigated due to their extensive applications in several domains. The aim of the paper is to investigate certain new fractional integral inequalities which include Hermite-Hadamard inequality and different forms of trapezoid type inequalities related to Hermite-Hadamard inequality for h-Godunova-Levin preinvex function. Moreover, we compare our obtained results with the existing work in the literature and are represented by corollaries.

KW - Hadamard inequality

KW - fractional inequalities

KW - h-Godunova-Levin convex and preinvex function

UR - https://www.scopus.com/pages/publications/85131012968

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DO - 10.3934/math.2022763

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JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 8

ER -

Some fractional integral inequalities via h-Godunova-Levin preinvex function

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