Generalizations of Steffensen’s inequality via Taylor’s formula

Journal of inequalities and applications

Josip Peč¹ 

关键词: Steffensen’s inequality;    Taylor’s formula;    Čebyšev functional;    Ostrowski-type inequality;    Stolarsky-type mean;    26D15;    26D20;   

DOI  :  10.1186/s13660-015-0702-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We generalize Steffensen’s inequality to the class of n-convex functions using Taylor’s formula. Further, we use inequalities for the Čebyšev functional to obtain bounds for identities related to generalizations of Steffensen’s inequality, and we give Ostrowski-type inequalities related to obtained generalizations. Finally, we apply our results to obtain new Stolarsky-type means.

【 授权许可】

CC BY