Weighted majorization theorems via generalization of Taylor’s formula

Journal of inequalities and applications

Andrea Aglić¹ 

关键词: majorization theorem;    Taylor’s formula;    Čebyšev functional;    26D15;    26D20;   

DOI  :  10.1186/s13660-015-0710-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A new generalization of the weighted majorization theorem for n-convex functions is given, by using a generalization of Taylor’s formula. Bounds for the remainders in new majorization identities are given by using the Čebyšev type inequalities. Mean value theorems and n-exponential convexity are discussed for functionals related to the new majorization identities.

【 授权许可】

CC BY