Some weighted Ostrowski-type inequalities for differentiable preinvex functions

被引：2
|
作者：
Meftah, Badreddine [1 ]
Souahi, Abdourazek [2 ]
机构：
[1] Univ Guelma, Fac Sci & Technol, Telecommun Lab, POB 401, Guelma 24000, Algeria
[2] Univ Badji Mokhtar Annaba, Adv Mat Lab, Annaba, Algeria
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 18期
关键词：
Holder inequality; Ostrowski inequality; preinvex functions; preincave functions; INTEGRAL-INEQUALITIES; 1ST DERIVATIVES; MAPPINGS; MODULUS; INVEX; POWER;
D O I：
10.1002/mma.7751
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we establish a new weighted integral identity and used it to establish some new weighted Ostrowski-type inequalities for functions whose modulus of the first derivatives are preinvex, which the obtained results represent generalizations as well as refinements for some known results. Finally, we explain our results by giving some applications dealing with the random variables and the special means.
引用
收藏
页码：14892 / 14914
页数：23
相关论文
共 50 条
  • [1] Study of Quantum Ostrowski-Type Inequalities for Differentiable Convex Functions
    M. A. Ali
    M. Fečkan
    A. Mateen
    [J]. Ukrainian Mathematical Journal, 2023, 75 : 5 - 28
  • [2] Study of Quantum Ostrowski-Type Inequalities for Differentiable Convex Functions
    Ali, M. A.
    Feckan, M.
    Mateen, A.
    [J]. UKRAINIAN MATHEMATICAL JOURNAL, 2023, 75 (01) : 5 - 28
  • [3] FRACTIONAL MULTIPLICATIVE OSTROWSKI-TYPE INEQUALITIES FOR MULTIPLICATIVE DIFFERENTIABLE CONVEX FUNCTIONS
    Meftah, Badreddine
    Boulares, Hamid
    Khan, Aziz
    Abdeljawad, Thabet
    [J]. JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2024, 17 (01): : 113 - 128
  • [4] SOME WEIGHTED SIMPSON-LIKE TYPE INEQUALITIES FOR DIFFERENTIABLE β-PREINVEX FUNCTIONS
    Bahloul, Hayet
    Hamida, Salim
    Meftah, Badreddine
    Djebabla, Abelhak
    [J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (03): : 487 - 507
  • [5] Some Weighted Hermite-Hadamard-Noor Type Inequalities for Differentiable Preinvex and Quasi Preinvex Functions
    Latif, Muhammad Amer
    Dragomir, Sever Silvestru
    Momoniat, Ebrahim
    [J]. PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2015, 47 (01): : 57 - 72
  • [6] Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
    Ali, Muhammad Aamir
    Budak, Huseyin
    Akkurt, Abdullah
    Chu, Yu-Ming
    [J]. OPEN MATHEMATICS, 2021, 19 : 440 - 449
  • [7] Some weighted integral inequalities for differentiable h-preinvex functions
    Latif, Muhammad Amer
    Dragomir, Sever Silvestru
    Momoniat, Ebrahim
    [J]. GEORGIAN MATHEMATICAL JOURNAL, 2018, 25 (03) : 441 - 450
  • [8] Some weighted Hadamard and Ostrowski-type fractional inequalities for quasi-geometrically convex functions
    Kalsoom, Humaira
    Latif, Muhammad Amer
    [J]. FILOMAT, 2023, 37 (18) : 5921 - 5942
  • [9] Some weighted integral inequalities for differentiable preinvex and prequasiinvex functions with applications
    Latif M.A.
    Dragomir S.S.
    [J]. Journal of Inequalities and Applications, 2013 (1)
  • [10] Fractional Weighted Ostrowski-Type Inequalities and Their Applications
    Kashuri, Artion
    Meftah, Badreddine
    Mohammed, Pshtiwan Othman
    Lupas, Alina Alb
    Abdalla, Bahaaeldin
    Hamed, Y. S.
    Abdeljawad, Thabet
    [J]. SYMMETRY-BASEL, 2021, 13 (06):
12345