q-Hermite Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions

In this paper, we prove the correct q-Hermite–Hadamard inequality, some new q-Hermite–Hadamard inequalities, and generalized q-Hermite–Hadamard inequality. By using the left hand part of the correct q-Hermite–Hadamard inequality, we have a new equality. Finally using the new equality, we give some q...

Full description

Bibliographic Details
Main Authors: Necmettin Alp, Mehmet Zeki Sarıkaya, Mehmet Kunt, İmdat İşcan
Format: Article
Language:English
Published: Elsevier 2018-04-01
Series:Journal of King Saud University: Science
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364716304839