Fractional Ostrowski Type Inequalities via φ - λ-Convex Function

被引:0
|
作者
Hassan, Ali [1 ]
Khan, Asif R. [2 ]
机构
[1] Shah Abdul Latif Univ Khairpur, Dept Math, Khairpur 66020, Pakistan
[2] Univ Karachi, Dept Math, Univ Rd, Karachi 75270, Pakistan
来源
关键词
Key words and phrases. Ostrowski inequality; Convex; Power mean inequality; Holder's inequality; INTEGRAL INEQUALITY; BOUNDED VARIATION; MAPPINGS;
D O I
10.22130/scma.2022.537502.976
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we aim to state well-known Ostrowski inequality via fractional Montgomery identity for the class of 0- lambda- convex functions. This generalized class of convex function contains other well-known convex functions from literature, allowing us to derive Ostrowski-type inequalities as specific instances. Moreover, we present Ostrowski-type inequalities for which certain powers of absolute derivatives are 0 - lambda- convex using various techniques, including Holder's inequality and the power mean inequality. Con-sequently, various established results would be captured as special cases. Moreover, we provide applications in terms of special means, allowing us to derive many numerical inequalities related to special means from Ostrowski-type inequalities.
引用
收藏
页码:111 / 129
页数:20
相关论文
共 50 条
  • [41] Note on the Ostrowski Type Inequalities for Fractional Integrals
    Sarikaya M.Z.
    Filiz H.
    Vietnam Journal of Mathematics, 2014, 42 (2) : 187 - 190
  • [42] New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex Functions
    Wang, Xiaoming
    Khan, Khuram Ali
    Ditta, Allah
    Nosheen, Ammara
    Awan, Khalid Mahmood
    Mabela, Rostin Matendo
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [43] SOME OSTROWSKI-MERCER TYPE INEQUALITIES FOR DIFFERENTIABLE CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATORS WITH STRONG KERNELS
    Butt, Saad Ihsan
    Nasir, Jamshed
    Dokuyucu, Mustafa Ali
    Akdemir, Ahmet Ocak
    Set, Erhan
    APPLIED AND COMPUTATIONAL MATHEMATICS, 2022, 21 (03) : 329 - 348
  • [44] Fractional Ostrowski type inequalities for bounded functions
    Erden, Samet
    Budak, Huseyin
    Zeki Sarikaya, Mehmet
    Iftikhar, Sabah
    Kumam, Poom
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [45] Fractional Ostrowski type inequalities for bounded functions
    Samet Erden
    Hüseyin Budak
    Mehmet Zeki Sarikaya
    Sabah Iftikhar
    Poom Kumam
    Journal of Inequalities and Applications, 2020
  • [46] On generalized fractional integral inequalities of Ostrowski type
    Yildirim, Huseyin
    Yildirim, Seda Kilic
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2021, 25 (01): : 143 - 151
  • [47] Ostrowski-type inequalities for strongly convex functions
    Set, Erhan
    Ozdemir, Muhamet Emin
    Sarikaya, Mehmet Zeki
    Akdemir, Ahmet Ocak
    GEORGIAN MATHEMATICAL JOURNAL, 2018, 25 (01) : 109 - 115
  • [48] New bounds for the Ostrowski-type inequalities via conformable fractional calculus
    Usta F.
    Budak H.
    Tunç T.
    Sarikaya M.Z.
    Arabian Journal of Mathematics, 2018, 7 (4) : 317 - 328
  • [49] OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS OF TWO VARIABLES VIA GENERALIZED FRACTIONAL INTEGRALS
    Ozcelik, Kubilay
    Budak, Huseyin
    Sarikaya, Mehmet Zeki
    Kashuri, Artion
    MISKOLC MATHEMATICAL NOTES, 2023, 24 (01) : 343 - 357
  • [50] Hermite-Hadamard and Ostrowski type inequalities via α-exponential type convex functions with applications
    Bakht, Attazar
    Anwar, Matloob
    AIMS MATHEMATICS, 2024, 9 (04): : 9519 - 9535