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

Facultad de Ciencias Exactas y Naturales

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

6 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}",

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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.

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KW - h-Godunova-Levin convex and preinvex function

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

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