Fractional Multiplicative Bullen-Type Inequalities for Multiplicative Differentiable Functions

被引：30

作者：

Boulares, Hamid ^{[1
]}

Meftah, Badreddine ^{[1
]}

Moumen, Abdelkader ^{[2
]}

Shafqat, Ramsha ^{[3
]}

Saber, Hicham ^{[2
]}

Alraqad, Tariq ^{[2
]}

Ali, Ekram E. ^{[2
]}

机构：

[1] Univ Guelma, Fac MISM, Dept Math, Lab Anal & Control Differential Equat ACED, Guelma 24000, Algeria

[2] Univ Hail, Fac Sci, Dept Math, Hail 55425, Saudi Arabia

[3] Univ Lahore, Dept Math & Stat, Sargodha 40100, Pakistan

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 02期

关键词：

non-Newtonian calculus; Bullen inequality; multiplicatively convex functions; HERMITE-HADAMARD TYPE; INTEGRAL-INEQUALITIES; DERIVATIVES; CALCULUS; SPACES;

D O I：

10.3390/sym15020451

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Various scholars have lately employed a wide range of strategies to resolve specific types of symmetrical fractional differential equations. In this paper, we propose a new fractional identity for multiplicatively differentiable functions; based on this identity, we establish some new fractional multiplicative Bullen-type inequalities for multiplicative differentiable convex functions. Some applications of the obtained results are given.

引用

页数：12

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