New inequalities of Wirtinger type for different kinds of convex functions

Miskolc Mathematical Notes

article

Ali Karaoglan¹  Erhan Set¹  Ahmet Ocak Akdemir²  Eda Sahin¹ 

[1] Department of Mathematics, Faculty of Sciences and Arts, Ordu University;Department of Mathematics, Faculty of Sciences and Letters, Agri Ibrahim C¸ ec¸en University

关键词: Wirtinger inequality;    Wirtinger type inequalities;    convex function;    s-convex function;    P-function;    m-convex function;    (α;    m)-convex function;    quasi-convex function;   

DOI  :  10.18514/MMN.2022.3712

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

T.Z. Mirkovic´ [14] obtained new inequalities of Wirtinger type by using some clas- sical inequalities and special means for convex function. So in this paper, we obtain some in- equalities of Wirtinger type for s-convex function, m-convex function, (α, m)-convex function, quasi-convex function and P function. Also several special cases are discussed, which can be deduced from our main results.

【 授权许可】

CC BY