Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications

被引:0
|
作者
Kashuri, A. [1 ]
Ali, M. A. [2 ]
Abbas, M. [3 ,4 ]
Toseef, M. [5 ]
机构
[1] Univ Ismail Qemali, Fac Tech Sci, Dept Math, Vlora 9400, Albania
[2] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China
[3] Govt Coll Univ, Dept Math, Lahore 54000, Pakistan
[4] Univ Pretoria, Dept Math & Appl Math, Lynnwood Rd, ZA-0002 Pretoria, South Africa
[5] Govt Coll Univ Lahore, Dept Math, Lahore, Pakistan
关键词
Inequalities; convexity; Raina's function; special means; error estimation; HERMITE-HADAMARD TYPE; OSTROWSKI TYPE INEQUALITIES; SIMPSON TYPE; SHARP INEQUALITIES; MAPPINGS; (ALPHA;
D O I
10.2478/jamsi-2021-0003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, authors establish a new identity for a differentiable function using generic integral operators. By applying it, some new integral inequalities of trapezium, Ostrowski and Simpson type are obtained. Moreover, several special cases have been studied in detail. Finally, many useful applications have been found.
引用
收藏
页码:37 / 64
页数:28
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