On some new generalized fractional Bullen-type inequalities with applications

被引：2

作者：

Hussain, Sabir ^{[1
]}

Rafeeq, Sobia ^{[2
]}

Chu, Yu-Ming ^{[3
,4
]}

Khalid, Saba ^{[1
]}

Saleem, Sahar ^{[1
]}

机构：

[1] Univ Engn & Technol, Dept Math, Lahore 54890, Pakistan

[2] Univ Lahore, Dept Math & Stat, Lahore 54590, Pakistan

[3] Hangzhou Normal Univ, Inst Adv Study Honoring Chen Jian Gong, Hangzhou 311121, Peoples R China

[4] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2022年 / 2022卷 / 01期

关键词：

Bullen's inequality; Fractional integrals; p-convex function; f-divergence measure; LIMIT-CYCLES; HADAMARD;

D O I：

10.1186/s13660-022-02878-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a Bullen-type generalized fractional integral identity for the differentiable functions and derive some new estimates for the Bullen-type fractional integral inequalities via the Raina fractional integrals. Further examples are given to indicate the validity of obtained results. Lastly, some error estimates for the quadrature rules are provided, and to find applications for our results to information theory, we proved a new generalization based on f-divergence measure.

引用

页数：23

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