Integral inequalities of Hermite-Hadamard type for quasi-convex functions with applications

There is a strong connection between convexity and inequalities. So, techniques from each concept applies to the other due to the strong correlation between them; specifically, in the past few years. In this attempt, we consider the Hermite–Hadamard inequality and related inequalities for the class...

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 6; pp. 7316 - 7331
Main Authors Othman Mohammed, Pshtiwan, Vivas-Cortez, Miguel, Abdeljawad, Thabet, Rangel-Oliveros, Yenny
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
hermite-hadamard inequality
hölder inequality
quasi-convex function
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ISSN2473-6988
2473-6988
DOI10.3934/math.2020468

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Summary:There is a strong connection between convexity and inequalities. So, techniques from each concept applies to the other due to the strong correlation between them; specifically, in the past few years. In this attempt, we consider the Hermite–Hadamard inequality and related inequalities for the class of functions whose absolute value of the third derivative are quasi-convex functions. Finally, the applications of our findings for special functions and particular functions are pointed out.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020468