Ostrowski Type Inequalities for n-Times Strongly m-MT-Convex Functions

被引：2
|
作者：
Meftah, Badreddine [1 ]
Marrouche, Chayma [1 ]
机构：
[1] 8 May 1945 Univ, Dept Math, Guelma 24000, Algeria
来源：
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2023年 / 20卷 / 03期
关键词：
Integral inequality; MT-convex functions; Strongly MT-convexity; Strongly m-MT-convexity; HADAMARD TYPE INEQUALITIES; INTEGRAL-INEQUALITIES; DERIVATIVES;
D O I：
10.22130/scma.2023.561568.1171
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the class of strongly m- MT-convex functions based on the identity given in [P. Cerone et al., 1999]. We establish new inequalities of the Ostrowski-type for functions whose nth derivatives are strongly m-MT-convex func-tions.
引用
收藏
页码：81 / 96
页数：17
相关论文
共 50 条
  • [1] PERTURBED COMPANIONS OF OSTROWSKI TYPE INEQUALITIES FOR N-TIMES DIFFERENTIABLE FUNCTIONS AND APPLICATIONS
    Erden, S.
    PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2020, 9 (02): : 45 - 57
  • [2] 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
  • [3] Some inequalities of Hermite-Hadamard type for n-times differentiable (ρ, m)-geometrically convex functions
    Zafar, Fiza
    Kalsoom, Humaira
    Hussain, Nawab
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (03): : 201 - 217
  • [4] On Hermite-Hadamard Type Integral Inequalities for n-times Differentiable m- and (α, m)-Logarithmically Convex Functions
    Latif, M. A.
    Dragomir, S. S.
    Momoniat, E.
    FILOMAT, 2016, 30 (11) : 3101 - 3114
  • [5] OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES ARE MT-CONVEX
    Tunc, Mevlut
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 17 (04) : 691 - 696
  • [6] OSTROWSKI TYPE FRACTIONAL INTEGRAL INEQUALITIES FOR MT-CONVEX FUNCTIONS
    Liu, Wenjun
    MISKOLC MATHEMATICAL NOTES, 2015, 16 (01) : 249 - 256
  • [7] INEQUALITIES OF HERMITE-HADAMARD TYPE FOR CONVEX FUNCTIONS WHICH ARE n-TIMES DIFFERENTIABLE
    Wang, Shu-Hong
    Qi, Feng
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (04): : 1269 - 1278
  • [8] OSTROWSKI TYPE INEQUALITIES FOR m- AND (α, m)-LOGARITMICALLY CONVEX FUNCTIONS
    Kavurmaci, Havva
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (05) : 820 - 826
  • [9] Fractional Hermite-Hadamard type inequalities for n-times log-convex functions
    Ouanas, Nawel
    Meftah, Badreddine
    Merad, Meriem
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2018, 9 (01): : 211 - 221
  • [10] OSTROWSKI TYPE INEQUALITIES FOR CONVEX FUNCTIONS
    Ozdemir, M. Emin
    Kavurmaci, Havva
    Avci, Merve
    TAMKANG JOURNAL OF MATHEMATICS, 2014, 45 (04): : 335 - 340
12345