SOME NEW INEQUALITIES FOR DIFFERENTIABLE h-CONVEX FUNCTIONS AND APPLICATIONS

被引：2
|
作者：
Cakmak, Musa [1 ]
Tunc, Mevlut [2 ]
Acem, Aysegul [3 ]
机构：
[1] Mustafa Kemal Univ, Yaladagi Vocat Sch, Antakya, Turkey
[2] Mustafa Kemal Univ, Fac Sci & Arts, Dept Math, Antakya, Turkey
[3] Mustafa Kemal Univ, Inst Sci, Dept Informat, Antakya, Turkey
来源：
MISKOLC MATHEMATICAL NOTES | 2021年 / 22卷 / 01期
关键词：
h-convex function; s-convex function; tgs-convex functions; Hadamard inequality; Holder inequality;
D O I：
10.18514/MMN.2021.2444
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the authors established a new identity for differentiable functions, afterwards they obtained some new inequalities for functions whose first derivatives in absolute value at certain powers are h-convex by using the identity. Also they give some applications for special means for arbitrary positive numbers.
引用
收藏
页码：107 / 121
页数：15
相关论文
共 50 条
  • [1] On Some New Inequalities of Hadamard Type for h-Convex Functions
    Akdemir, Ahmet Ocak
    Set, Erhan
    Ozdemir, M. Emin
    Yildiz, Cetin
    [J]. FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012), 2012, 1470 : 35 - 38
  • [2] Some Hermite–Hadamard Type Inequalities for h-Convex Functions and their Applications
    Hatice Öğülmüş
    Mehmet Zeki Sarıkaya
    [J]. Iranian Journal of Science and Technology, Transactions A: Science, 2020, 44 : 813 - 819
  • [3] FEJER AND HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE h-CONVEX AND QUASI CONVEX FUNCTIONS WITH APPLICATIONS
    OBEIDAT, S. O. F. I. A. N.
    LATIF, M. A.
    DRAGOMIR, S. S.
    [J]. MISKOLC MATHEMATICAL NOTES, 2022, 23 (01) : 401 - 415
  • [4] ON SOME NEW INEQUALITIES OF HADAMARD TYPE INVOLVING h-CONVEX FUNCTIONS
    Sarikaya, M. Z.
    Set, E.
    Ozdemir, M. E.
    [J]. ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2010, 79 (02): : 265 - 272
  • [5] Some integral inequalities for harmonically h-convex functions
    Noor, M. Aslam
    Noor, K. Inayat
    Awan, M. Uzair
    Costache, Simona
    [J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2015, 77 (01): : 5 - 16
  • [6] SOME INTEGRAL INEQUALITIES FOR HARMONICALLY h-CONVEX FUNCTIONS
    Noor, M. Aslam
    Noor, K. Inayat
    Awan, M. Uzair
    Costache, Simona
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2015, 77 (01): : 5 - 16
  • [7] Some Hermite-Hadamard Type Inequalities for h-Convex Functions and their Applications
    Ogulmus, Hatice
    Sarikaya, Mehmet Zeki
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2020, 44 (03): : 813 - 819
  • [8] New Weighted Hermite-Hadamard Type Inequalities for Differentiable h-Convex and Quasi h-Convex Mappings
    Latif, Muhammad Amer
    [J]. JOURNAL OF MATHEMATICS, 2021, 2021
  • [9] SOME SIMPSON TYPE INEQUALITIES FOR h-CONVEX AND (α, m)-CONVEX FUNCTIONS
    Liu, Wenjun
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (05) : 1005 - 1012
  • [10] Some new general integral inequalities for h-convex and h-concave functions
    Iscan, Imdat
    [J]. ADVANCES IN PURE AND APPLIED MATHEMATICS, 2014, 5 (01) : 21 - 29
12345