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
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2017年 / 23卷 / 06期
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
[31]   New version of fractional Simpson type inequalities for twice differentiable functions [J].
Hezenci, Fatih ;
Budak, Huseyin ;
Kara, Hasan .
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[32]   Hermite-Hadamard type inequalities for fractional integrals via Green's function [J].
Khan, Muhammad Adil ;
Iqbal, Arshad ;
Suleman, Muhammad ;
Chu, Yu-Ming .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[33]   SOME BULLEN-TYPE INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS [J].
Zhao, Dafang ;
Ali, Muhammad Aamir ;
Budak, Hueseyin ;
He, Zai-yin .
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (04)
[34]   On generalized Milne type inequalities for new conformable fractional integrals [J].
Celika, Baris ;
Budakb, Huseyin ;
Seta, Erhan .
FILOMAT, 2024, 38 (05) :1807-1823
[35]   Ostrowski type inequalities via new fractional conformable integrals [J].
Set, Erhan ;
Akdemir, Ahmet Ocak ;
Gozpinar, Abdurrahman ;
Jarad, Fahd .
AIMS MATHEMATICS, 2019, 4 (06) :1684-1697
[36]   Weighted Simpson's type inequalities for GA-convex functions [J].
Latif, Muhammad Amer ;
Hussain, Sabir .
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (10) :93-106
[37]   Generalized Hermite - Hadamard Type Integral Inequalities for Fractional Integrals [J].
Sarikaya, Mehmet Zeki ;
Budak, Huseyin .
FILOMAT, 2016, 30 (05) :1315-1326
[38]   Extension of Milne-type inequalities to Katugampola fractional integrals [J].
Lakhdari, Abdelghani ;
Budak, Huseyin ;
Awan, Muhammad Uzair ;
Meftah, Badreddine .
BOUNDARY VALUE PROBLEMS, 2024, 2024 (01)
[39]   Some new inequalities of the Gruss type for conformable fractional integrals [J].
Rahman, Gauhar ;
Nisar, Kottakkaran Sooppy ;
Qi, Feng .
AIMS MATHEMATICS, 2018, 3 (04) :575-583
[40]   ON HERMITE-HADAMARD TYPE INEQUALITIES FOR MULTIPLICATIVE FRACTIONAL INTEGRALS [J].
Budak, H. ;
Ozcelik, K. .
MISKOLC MATHEMATICAL NOTES, 2020, 21 (01) :91-99
12345