On a relation between Schur, Hardy-Littlewood-Pólya and Karamata's theorem and an inequality of some products of xp−1 derived from the Furuta inequality

Keiichi Watanabe
2013 Journal of Inequalities and Applications  
We show a functional inequality of some products of x p -1 as an application of an operator inequality. Furthermore, we will show it can be deduced from a classical theorem on majorization and convex functions. MSC: Primary 26D07; secondary 26A09; 26A51; 39B62; 47A63
doi:10.1186/1029-242x-2013-137 fatcat:fgx3rlbw2bdedneskgxlckk7d4