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
N1 - Publisher Copyright:
© 2020 the Author(s), licensee AIMS Press.
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 -