Ostrowski type inequalities for 3-convex functions

被引：0
|
作者：
Kovac, Sanja [1 ]
Pecaric, Josip [2 ]
Penava, Mihaela Ribicic [3 ]
机构：
[1] Univ Zagreb, Fac Geotech Engn, Zagreb, Croatia
[2] Croatian Acad Sci & Arts, Zagreb, Croatia
[3] Josip Juraj Strossmayer Univ Osijek, Sch Appl Math & Informat, Osijek, Croatia
来源：
DOLOMITES RESEARCH NOTES ON APPROXIMATION | 2025年 / 18卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main aim of this paper is to derive new Ostrowski type inequalities for 3-convex functions and for functions whose modulus of derivatives are convex, using the weighted Montgomery identity and the weighted Hermite-Hadamard inequalities. Additionally, certain Hermite-Hadamard inequalities for 3-convex functions are provided.
引用
收藏
页码：41 / 48
页数：8
相关论文
共 50 条
  • [1] OSTROWSKI TYPE INEQUALITIES FOR CONVEX FUNCTIONS
    Ozdemir, M. Emin
    Kavurmaci, Havva
    Avci, Merve
    TAMKANG JOURNAL OF MATHEMATICS, 2014, 45 (04): : 335 - 340
  • [2] SOME INEQUALITIES FOR CONVEX AND 3-CONVEX FUNCTIONS WITH APPLICATIONS
    Marinescu, Dan Stefan
    Monea, Mihai
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2015, 39 (01): : 83 - 91
  • [3] Hermite-Hadamard-type inequalities for generalized 3-convex functions
    Bessenyei, M
    PUBLICATIONES MATHEMATICAE DEBRECEN, 2004, 65 (1-2): : 223 - 232
  • [4] 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
  • [5] BF - Ostrowski Type Inequalities via φ - λ-convex functions
    Hassan, Ali
    Khan, Asif Raza
    Mehmood, Faraz
    Khan, Maria
    INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND NETWORK SECURITY, 2021, 21 (10): : 177 - 183
  • [6] Fuzzy Ostrowski type inequalities via φ-λ-convex functions
    Hassan, Ali
    Khan, Asif Raza
    Mehmood, Faraz
    Khan, Maria
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 28 (03): : 224 - 235
  • [7] INEQUALITIES OF THE JENSEN AND EDMUNDSON-LAH-RIBARIC TYPE FOR 3-CONVEX FUNCTIONS WITH APPLICATIONS
    Mikic, Rozarija
    Pecaric, Dilda
    Pecaric, Jostp
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (03): : 677 - 692
  • [8] Fractional Ostrowski type inequalities for differentiable harmonically convex functions
    Sitthiwirattham, Thanin
    Ali, Muhammad Aamir
    Budak, Huseyin
    Ntouyas, Sotiris K.
    Promsakon, Chanon
    AIMS MATHEMATICS, 2022, 7 (03): : 3939 - 3958
  • [9] Ostrowski's Type Inequalities for (alpha, m)-Convex Functions
    Ozdemir, Muhamet Emin
    Kavurmaci, Havva
    Set, Erhan
    KYUNGPOOK MATHEMATICAL JOURNAL, 2010, 50 (03): : 371 - 378
  • [10] Ostrowski Type Inequalities Involving Harmonically Convex Functions and Applications
    Akhtar, Nousheen
    Awan, Muhammad Uzair
    Javed, Muhammad Zakria
    Rassias, Michael Th
    Mihai, Marcela, V
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    SYMMETRY-BASEL, 2021, 13 (02): : 1 - 23
12345