PERTURBED FRACTIONAL NEWTON-TYPE INEQUALITIES BY TWICE DIFFERENTIABLE FUNCTIONS

被引：0

作者：

Hezenci, Fatih ^{[1
]}

Kara, Hasan ^{[1
]}

Budak, Huseyin ^{[1
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkiye

来源：

HONAM MATHEMATICAL JOURNAL | 2023年 / 45卷 / 02期

关键词：

Newton-type inequalities; fractional calculus; convex functions;

D O I：

10.5831/HMJ.2023.45.2.285

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we establish some perturbed Newton -type inequalities in the case of twice differentiable convex functions. These inequalities are established by using the well-known Riemann-Liouville fractional integrals. With the aid of special cases of our main results, we also give some previously obtained Newton-type inequalities.

引用

页码：285 / 299

页数：15

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