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.
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收藏
页数：16
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