SOME NEW INEQUALITIES FOR CONVEX FUNCTIONS WITH APPLICATIONS IN NORMED SPACES

被引:0
|
作者
Barnett, N. S. [1 ]
Dragomir, S. S. [2 ]
机构
[1] Victoria Univ, Sch Comp Sci & Math, Melbourne, Vic 8001, Australia
[2] Victoria Univ, Sch Comp Sci & Math, Melbourne City, MC 8001, Australia
来源
关键词
Convex functions; Jensen's inequality; normed linear spaces; p-mean absolute deviation;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Some new inequalities for convex functions defined on convex subsets in linear spaces with applications for the p-mean absolute deviation of a sequence of vectors are given, in a normed linear space.
引用
收藏
页码:667 / 678
页数:12
相关论文
共 50 条
  • [21] Some new Opial type dynamic inequalities via convex functions and applications
    S. H. Saker
    J. Alzabut
    A. G. Sayed
    D. O’Regan
    Advances in Difference Equations, 2021
  • [22] Some New Inequalities of Operator m-Convex Functions and Applications for Synchronous–Asynchronous Functions
    Yeter Erdaş
    Erdal Ünlüyol
    Seren Salaş
    Complex Analysis and Operator Theory, 2019, 13 : 3871 - 3881
  • [23] New Inequalities for the p-Angular Distance in Normed Spaces with Applications
    S. S. Dragomir
    Ukrainian Mathematical Journal, 2015, 67 : 19 - 32
  • [24] New Inequalities for the p-Angular Distance in Normed Spaces with Applications
    Dragomir, S. S.
    UKRAINIAN MATHEMATICAL JOURNAL, 2015, 67 (01) : 19 - 32
  • [25] On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications
    Nie, Dongming
    Rashid, Saima
    Akdemir, Ahmet Ocak
    Baleanu, Dumitru
    Liu, Jia-Bao
    MATHEMATICS, 2019, 7 (08)
  • [26] A survey of examples of convex functions and classifications of normed spaces
    Borwein, JM
    RECENT DEVELOPMENTS IN OPTIMIZATION, 1995, 429 : 60 - 71
  • [27] SOME NEW CLASSES OF HARMONIC CONVEX FUNCTIONS AND INEQUALITIES
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Iftikhar, Sabah
    Awan, Muhammad Uzair
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2018, 44 (02): : 250 - 266
  • [28] SOME NEW WIRTINGER TYPE INEQUALITIES FOR η-CONVEX FUNCTIONS
    Set, Erhan
    Akdemir, Ahmet Ocak
    Sahin, Eda
    PROCEEDINGS OF THE7TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL. 1, 2020, : 368 - 370
  • [29] ON SOME NEW INEQUALITIES FOR s- CONVEX FUNCTIONS
    Kiris, Mehmet Eyup
    Kara, Hasan
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (01): : 101 - 113
  • [30] ON SOME INEQUALITIES FOR CONVEX FUNCTIONS
    Gavrea, Ioan
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (03): : 315 - 321