Title of article :
Some inequalities related to 4-convex functions
Author/Authors :
Mohtashami ، Shiva Department of Mathematics - Islamic Azad University, Kerman branch , Salemi ، Abbas Department of Applied Mathematics - Mahani Mathematical Research Center - Shahid Bahonar University of Kerman , Soleymani ، Mohammad Department of Mathematics - Mahani Mathematical Research Center - Shahid Bahonar University of Kerman
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 :
Majorization , 4 , convex function , inequalities , divided difference
Journal title :
Wavelets and Linear Algebra
Journal title :
Wavelets and Linear Algebra