On a new class of convex functions and integral inequalities

Abstract The aim of this paper is to introduce a new extension of convexity called σ-convexity. We show that the class of σ-convex functions includes several other classes of convex functions. Some new integral inequalities of Hermite–Hadamard type are established to illustrate the applications of σ...

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Bibliographic Details
Main Authors: Shanhe Wu, Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor, Sabah Iftikhar
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2074-y