Ostrowski Type Inequalities Involving Harmonically Convex Functions and Applications

被引:9
作者
Akhtar, Nousheen [1 ]
Awan, Muhammad Uzair [1 ]
Javed, Muhammad Zakria [1 ]
Rassias, Michael Th [2 ,3 ]
Mihai, Marcela, V [3 ]
Noor, Muhammad Aslam [4 ]
Noor, Khalida Inayat [4 ]
机构
[1] Govt Coll Univ, Dept Math, Faisalabad 38000, Pakistan
[2] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland
[3] Romanian Math Soc, Branch Bucharest, Acad St 14, RO-010014 Bucharest, Romania
[4] COMSATS Univ Islamabad, Dept Math, Islamabad 44000, Pakistan
来源
SYMMETRY-BASEL | 2021年 / 13卷 / 02期
关键词
convex; harmonic; derivative; ostrowski; inequality;
D O I
10.3390/sym13020201
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The main objective of this paper is to derive some new generalizations of Ostrowski type inequalities for the functions whose first derivatives absolute value are harmonically convex. We also discuss some special cases of the obtained results. In the last section, we present some applications of the obtained results.
引用
收藏
页码:1 / 23
页数:23
相关论文
共 16 条
  • [1] Al-Azemi F., 2015, Appl. Math. Inform. Sci., V9, P1
  • [2] Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense
    Alomari, M.
    Darus, M.
    Dragomir, S. S.
    Cerone, P.
    [J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (09) : 1071 - 1076
  • [3] [Anonymous], 2018, LECT NOTES
  • [4] NEW OSTROWSKI LIKE INEQUALITIES FOR GG-CONVEX AND GA-CONVEX FUNCTIONS
    Ardic, Merve Avci
    Akdemir, Ahmet Ocak
    Set, Erhan
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (04): : 1159 - 1168
  • [5] NEW OSTROWSKI LIKE INEQUALITIES INVOLVING THE FUNCTIONS HAVING HARMONIC h-CONVEXITY PROPERTY AND APPLICATIONS
    Bin-Mohsin, Bandar
    Awan, Muhammad Uzair
    Noor, Muhammad Aslam
    Mihai, Marcela, V
    Noor, Khalida Inayat
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (03): : 621 - 644
  • [6] Budak H, 2017, J NONLINEAR FUNCT AN, DOI 10.23952/jnfa.2017.23
  • [7] On generalized Ostrowski-type inequalities for functions whose first derivatives absolute values are convex
    Budak, Huseyin
    Sarikaya, Mehmet Zeki
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (06) : 1193 - 1210
  • [8] CAN I., 2015, Konuralp J. Math, V3, P63
  • [9] Dragomir S.S., 2002, Ostrowski Type Inequalities and Applications in Numerical Integration
  • [10] Iscan I, 2014, HACET J MATH STAT, V43, P935