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

Pshtiwan Othman Mohammed; Miguel Vivas-Cortez; Thabet Abdeljawad; Yenny Rangel-Oliveros

doi:10.3934/math.2020468

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

Pshtiwan Othman Mohammed^*, Miguel Vivas-Cortez, Thabet Abdeljawad, Yenny Rangel-Oliveros

^*Autor correspondiente de este trabajo

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

23 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	7316-7331
Número de páginas	16
Publicación	AIMS Mathematics
Volumen	5
N.º	6
DOI	https://doi.org/10.3934/math.2020468
Estado	Publicada - 18 sep. 2020

Nota bibliográfica

Publisher Copyright:
© 2020 the Author(s), licensee AIMS Press.

Financiación

Financiadores	Número del financiador
Prince Sultan University

Acceder al documento

10.3934/math.2020468

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{6e4e21a484fb4c04b13300fd8f62764a,

title = "Integral inequalities of Hermite-Hadamard type for quasi-convex functions with applications",

abstract = "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.",

keywords = "Hermite-Hadamard inequality, H{\"o}lder inequality, Quasi-convex function",

author = "Mohammed, {Pshtiwan Othman} and Miguel Vivas-Cortez and Thabet Abdeljawad and Yenny Rangel-Oliveros",

note = "Publisher Copyright: {\textcopyright} 2020 the Author(s), licensee AIMS Press.",

year = "2020",

month = sep,

day = "18",

doi = "10.3934/math.2020468",

language = "English",

volume = "5",

pages = "7316--7331",

journal = "AIMS Mathematics",

issn = "2473-6988",

publisher = "AIMS Press",

number = "6",

}

TY - JOUR

T1 - Integral inequalities of Hermite-Hadamard type for quasi-convex functions with applications

AU - Mohammed, Pshtiwan Othman

AU - Vivas-Cortez, Miguel

AU - Abdeljawad, Thabet

AU - Rangel-Oliveros, Yenny

PY - 2020/9/18

Y1 - 2020/9/18

N2 - 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.

AB - 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.

KW - Hermite-Hadamard inequality

KW - Hölder inequality

KW - Quasi-convex function

UR - http://www.scopus.com/inward/record.url?scp=85091503665&partnerID=8YFLogxK

U2 - 10.3934/math.2020468

DO - 10.3934/math.2020468

M3 - Article

AN - SCOPUS:85091503665

SN - 2473-6988

VL - 5

SP - 7316

EP - 7331

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 6

ER -