Ohlin and Levin–Stečkin-Type Results for Strongly Convex Functions

Annales Mathematicae Silesianae

Nikodem Kazimierz¹  Rajba Teresa¹ 

[1] University of Bielsko-Biala, Department of Mathematics, Willowa 2, 43-309Bielsko-Biała, Poland;

关键词: ohlin’s lemma;    stochastic ordering;    levin–stečkin theorem;    strongly convex functions;    hermite–hadamard inequalities;    26a51;    39b62;    26d15;   

DOI  :  10.2478/amsil-2020-0017

来源: DOAJ

【 摘 要 】

Counterparts of the Ohlin and Levin–Stečkin theorems for strongly convex functions are proved. An application of these results to obtain some known inequalities related with strongly convex functions in an alternative and unified way is presented.

【 授权许可】

Unknown