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 31 条
  • [1] Local fractional integrals involving generalized strongly m-convex mappings
    Anastassiou, George
    Kashuri, Artion
    Liko, Rozana
    [J]. ARABIAN JOURNAL OF MATHEMATICS, 2019, 8 (02) : 95 - 107
  • [2] [Anonymous], 2018, KHAYYAM J MATH
  • [3] [Anonymous], 2016, AUST J MATH ANAL APP
  • [4] [Anonymous], 1999, DEMONSTRATIO MATH
  • [5] NEW CLASSES OF INTEGRAL INEQUALITIES OF FRACTIONAL ORDER
    Dahmani, Zoubir
    [J]. MATEMATICHE, 2014, 69 (01): : 237 - 247
  • [6] Dragomir S.S., 2018, INDIAN J MATH, V60, P1
  • [7] Farid G., 2017, Nonlinear Funct. Anal. Appl., V22, P627
  • [8] Hermite-Hadamard inequalities in fractional calculus defined using Mittag-Leffler kernels
    Fernandez, Arran
    Mohammed, Pshtiwan
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (10) : 8414 - 8431
  • [9] Houas M., 2016, SCI A, V27, P87
  • [10] Some new refinement of Hermite-Hadamard type inequalities and their applications
    Kashuri, Artion
    Liko, Rozana
    Dragomir, Silvestru Sever
    [J]. TBILISI MATHEMATICAL JOURNAL, 2019, 12 (04) : 159 - 188
1234