Inequalities for fractional Riemann-Liouville integrals of certain class of convex functions

被引：4

作者：

Farid, Ghulam ^{[1
]}

Pecaric, Josip ^{[2
]}

Nonlaopon, Kamsing ^{[3
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock, Pakistan

[2] RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia

[3] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2022年 / 2022卷 / 01期

关键词：

Convex function; Hadamard inequality; Riemann-Liouville fractional integrals; Error bounds; HADAMARD TYPE INEQUALITIES; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

D O I：

10.1186/s13662-022-03682-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fractional calculus operators play a very important role in generalizing concepts of calculus used in diverse fields of science. In this paper, we use Riemann-Liouville fractional integrals to establish generalized identities, which are further applied to obtain midpoint and trapezoidal inequalities for convex function with respect to a strictly monotone function. These inequalities reproduce midpoint and trapezoidal inequalities for convex, harmonic convex, p-convex, and geometrically convex functions. Also, some new inequalities can be generated via specific strictly monotone functions.

引用

页数：16

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