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
来源：
JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS | 2021年 / 17卷 / 01期
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
相关论文
共 50 条
  • [1] Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators
    Srivastava, Hari Mohan
    Kashuri, Artion
    Mohammed, Pshtiwan Othman
    Nonlaopon, Kamsing
    [J]. FRACTAL AND FRACTIONAL, 2021, 5 (04)
  • [2] Some Generalized Fractional Integral Inequalities for Convex Functions with Applications
    Zhao, Dafang
    Ali, Muhammad Aamir
    Promsakon, Chanon
    Sitthiwirattham, Thanin
    [J]. FRACTAL AND FRACTIONAL, 2022, 6 (02)
  • [3] Some New Fractional Integral Inequalities Pertaining to Generalized Fractional Integral Operator
    Alsalami, Omar Mutab
    Sahoo, Soubhagya Kumar
    Tariq, Muhammad
    Shaikh, Asif Ali
    Cesarano, Clemente
    Nonlaopon, Kamsing
    [J]. SYMMETRY-BASEL, 2022, 14 (08):
  • [4] Some Generalized Fractional Integral Inequalities via Harmonic Convex Functions and Their Applications
    Awan, Muhammad Uzair
    Akhtar, Nousheen
    Raissouli, Mustapha
    Kashuri, Artion
    Javed, Muhammad Zakria
    Noor, Muhammad Aslam
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [5] Some Generalized Fractional Integral Inequalities via Harmonic Convex Functions and Their Applications
    Awan, Muhammad Uzair
    Akhtar, Nousheen
    Raissouli, Mustapha
    Kashuri, Artion
    Javed, Muhammad Zakria
    Noor, Muhammad Aslam
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [6] Some Generalized Integral Inequalities for Convex Functions and Applications
    Sarikaya, Mehmet Zeki
    Tunc, Tuba
    Yildiz, Mustafa Kemal
    [J]. INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
  • [7] Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator
    Neamah, Majid K.
    Ibrahim, Alawiah
    Mehdy, Hala Shaker
    Redhwan, Saleh S.
    Abdo, Mohammed S.
    [J]. JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [8] Reverse Minkowski Inequalities Pertaining to New Weighted Generalized Fractional Integral Operators
    Liko, Rozana
    Mohammed, Pshtiwan Othman
    Kashuri, Artion
    Hamed, Y. S.
    [J]. FRACTAL AND FRACTIONAL, 2022, 6 (03)
  • [9] Integral inequalities for some convex functions via generalized fractional integrals
    Mehreen, Naila
    Anwar, Matloob
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [10] Integral inequalities for some convex functions via generalized fractional integrals
    Naila Mehreen
    Matloob Anwar
    [J]. Journal of Inequalities and Applications, 2018
12345