On a new class of convex functions and integral inequalities

Shanhe Wu; Muhammad Uzair Awan; Muhammad Aslam Noor; Khalida Inayat Noor; Sabah Iftikhar

Journal ArticleOPEN ACCESS

On a new class of convex functions and integral inequalities

Wu S
Awan M
Noor M
et al.

Journal of Inequalities and Applications (2019) 2019

DOI: 10.1186/s13660-019-2074-y

18Citations

6Readers

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-convex functions.

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Wu, S., Awan, M. U., Noor, M. A., Noor, K. I., & Iftikhar, S. (2019). On a new class of convex functions and integral inequalities. Journal of Inequalities and Applications, 2019. https://doi.org/10.1186/s13660-019-2074-y

On a new class of convex functions and integral inequalities

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