Some extended fractional integral inequalities with applications

被引:0
作者
Hussain, Sabir [1 ]
Khalid, Javairiya [1 ]
机构
[1] Univ Engn & Technol, Dept Math, Lahore, Pakistan
关键词
Simpson inequality; Hermite Hadamard; Special means; Quadrature rules; SIMPSONS TYPE INEQUALITIES; HERMITE-HADAMARD; CONVEX-FUNCTIONS; MAPPINGS;
D O I
10.2298/FIL2327145H
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Here, an extended fractional integral identity has been established to construct some extended Simpson-type inequalities for differentiable convex functions and differentiable concave functions con-nected to Hermite-Hadamard inequality. Some applications to means, f-divergence measure, probability density function and approximate error to some quadrature rules are given.
引用
收藏
页码:9145 / 9167
页数:23
相关论文
共 33 条
[1]  
Agarwal R. P, 2016, Fasc. Math, V56, P5, DOI [10.1515/ fascmath-2016-0001, DOI 10.1515/FASCMATH-2016-0001]
[2]  
Akkurt A., 2016, New Trends Math. Sci., V4, P138, DOI 10.20852/ntmsci.2016217824
[3]   Some New Refinements of Hermite-Hadamard-Type Inequalities Involving ψk-Riemann-Liouville Fractional Integrals and Applications [J].
Awan, Muhammad Uzair ;
Talib, Sadia ;
Chu Yu-Ming ;
Noor, Muhammad Aslam ;
Noor, Khalida Inayat .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
[4]  
Cerone P., 2000, Handbook of Analytic-Computational Methods in Applied Mathematics, P135
[5]  
Cerone P., 2000, HDB ANALYTIC COMPUTA, P1
[6]   Improved Hermite-Hadamard type inequalities by using thep-convexity of differentiable mappings [J].
Dragomir, Sever Silvestru ;
Latif, Muhammad Amer ;
Momoniat, Ebrahim .
QUAESTIONES MATHEMATICAE, 2021, 44 (08) :1077-1094
[7]   On Simpson's inequality and applications [J].
Dragomir, SS ;
Agarwal, RP ;
Cerone, P .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2000, 5 (06) :533-579
[8]  
Hadamard J., 1893, Journal de mathmatiques pures et appliques, V9, P171
[9]   Study of magnetic and heat transfer on the peristaltic transport of a fractional second grade fluid in a vertical tube [J].
Hameed, M. ;
Khan, Ambreen A. ;
Ellahi, R. ;
Raza, M. .
ENGINEERING SCIENCE AND TECHNOLOGY-AN INTERNATIONAL JOURNAL-JESTECH, 2015, 18 (03) :496-502
[10]  
Hezenci F., J MATH EXT, V17