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

^*Corresponding author for this work

Faculty of Exact and Natural Sciences

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

7 Scopus citations

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.

Original language	English
Pages (from-to)	13832-13844
Number of pages	13
Journal	AIMS Mathematics
Volume	7
Issue number	8
DOIs	https://doi.org/10.3934/math.2022763
State	Published - 23 May 2022

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

Keywords

Hadamard inequality
fractional inequalities
h-Godunova-Levin convex and preinvex function

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10.3934/math.2022763

Cite this

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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.",

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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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ER -

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

Abstract

Bibliographical note

Keywords

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