On new Milne-type inequalities for fractional integrals

Journal of Inequalities and Applications

Research

Hasan Kara¹  Hüseyin Budak¹  Pınar Kösem¹ 

[1] Department of Mathematics, Faculty of Science and Arts, Duzce University, Düzce, Turkey;

关键词: Milne-type inequalities;    Convex function;    Fractional integrals;    Bounded function;    Function of bounded variation;    26D07;    26D10;    26D15;   

DOI  :  10.1186/s13660-023-02921-5

 received in 2022-05-26, accepted in 2023-01-10,  发布年份 2023

来源: Springer

【 摘 要 】

In this study, fractional versions of Milne-type inequalities are investigated for differentiable convex functions. We present Milne-type inequalities for bounded functions, Lipschitz functions, functions of bounded variation, etc., found in the literature. New results are established in the area of inequalities. This article is the first to study Milne-type inequalities for fractional integrals.

【 授权许可】

CC BY   
© The Author(s) 2023

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