Some inequalities related to 4-convex functions

Document Type : Research Paper

Authors

1 Department of Mathematics, Islamic Azad University, Kerman branch, Kerman, Iran.

2 Department of Applied Mathematics and Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran.

3 Department of Mathematics and Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran.

10.22072/wala.2021.130889.1296

Abstract

In this paper, we consider the class of 4-convex functions and we obtain  some inequalities  related to 4-convex functions. Moreover, for $k\leq n$,  we present a  majorization $\prec_k $ on $\mathbb{R}_n$ and we give some equivalent conditions for $\prec_4 $ on $\mathbb{R}_4$.

Keywords

References

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Wavelet and Linear Algebra
Volume 8, Issue 1
Spring- Summer
2021
Pages 17-26

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