On Simpson's type inequalities utilizing fractional integrals

被引:0
作者
Iqbal, Muhammad [1 ]
Qaisar, Shahid [2 ]
Hussain, Sabir [3 ]
机构
[1] Univ Engn & Technol, Lahore, Pakistan
[2] Comsats Inst Informat Technol, Sahiwal, Pakistan
[3] Qassim Univ, Coll Sci, Dept Math, POB 6644, Buraydah 51482, Saudi Arabia
关键词
Simpson's Inequality; Convex Functions; Power-mean Inequality; Riemann-Liouville Fractional Integral;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In the present article, we establish an integral identity for Riemann-Liouville fractional integrals. Some Simpson type integral inequalities utilizing this integral identity are obtained. It is worth mentioning that the presented results have close connection with those in [M. Z Sarikaya, E. Set, M. E Ozdemir, On new inequalities of Simpson's type for s-convex functions, Computers and Mathematics with Applications, 60 (2010), 2191-2199)].
引用
收藏
页码:1137 / 1145
页数:9
相关论文
共 50 条
[21]   Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities [J].
Sarikaya, Mehmet Zeki ;
Set, Erhan ;
Yaldiz, Hatice ;
Basak, Nagihan .
MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (9-10) :2403-2407
[22]   Fractional Simpson-Type Inequalities for Twice Differentiable Functions [J].
Budak, Hueseyin ;
Kara, Hasan ;
Hezenci, Fatih .
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2023, 20 (03) :97-108
[23]   A Note on Fractional Simpson Type Inequalities for Twice Differentiable Functions [J].
Hezenci, Fatih .
MATHEMATICA SLOVACA, 2023, 73 (03) :675-686
[24]   WEIGHTED SIMPSON'S TYPE INTEGRAL INEQUALITIES FOR HARMONICALLY-PREINVEX FUNCTIONS [J].
LATIF, M. A. ;
HUSSAIN, S. ;
MADEEHA .
MISKOLC MATHEMATICAL NOTES, 2022, 23 (01) :311-326
[25]   INEQUALITIES OF JENSEN'S TYPE FOR GENERALIZED k-g-FRACTIONAL INTEGRALS [J].
Dragomir, Silvestru Sever .
TAMKANG JOURNAL OF MATHEMATICS, 2018, 49 (03) :257-276
[26]   Some Generalized Hadamard-Type Inequalities via Fractional Integrals [J].
Bayraktar, B. ;
Attaev, A. Kh ;
Kudaev, V. Ch .
RUSSIAN MATHEMATICS, 2021, 65 (02) :1-14
[27]   On new Milne-type inequalities for fractional integrals [J].
Budak, Huseyin ;
Kosem, Pinar ;
Kara, Hasan .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
[28]   Ostrowski Type Inequalities Involving ψ-Hilfer Fractional Integrals [J].
Basci, Yasemin ;
Baleanu, Dumitru .
MATHEMATICS, 2019, 7 (09)
[29]   Generalizations of Simpson's Type Inequalities Through Preinvexity and Prequasiinvexity [J].
Hussain, Sabir ;
Qaisar, Shahid .
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2014, 46 (02) :1-9
[30]   Some results on integral inequalities via Riemann-Liouville fractional integrals [J].
Li, Xiaoling ;
Qaisar, Shahid ;
Nasir, Jamshed ;
Butt, Saad Ihsan ;
Ahmad, Farooq ;
Bari, Mehwish ;
Farooq, Shan E. .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)