Means of power type and their inequalities

被引：0
|
作者：
Lukkassen, D
机构：
[1] HiN, Narvik Inst Technol, N-8505 Narvik, Norway
[2] Norut Technol Ltd, N-8500 Narvik, Norway
来源：
MATHEMATISCHE NACHRICHTEN | 1999年 / 205卷
关键词：
means; power means; compositions; inequalities; homogenization theory;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove some general results on means of power type and their inequalities. Particularly, we study a new mean and compare this mean with the classical,power means. Some results connected to compositions of power means are also presented. Our results are applied to some inequalities in the homogenization theory.
引用
收藏
页码：131 / 147
页数：17
相关论文
共 50 条
  • [41] Some new inequalities between important means and applications to Ky Fan - Type inequalities
    Rooin, Jamal
    Hassani, Mehdi
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2007, 10 (03): : 517 - 527
  • [42] Optimal inequalities between Seiffert's mean and power means
    Hästö, PA
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2004, 7 (01): : 47 - 53
  • [43] NUMERICAL RADIUS INEQUALITIES RELATED TO THE GEOMETRIC MEANS OF NEGATIVE POWER
    Seo, Yuki
    OPERATORS AND MATRICES, 2019, 13 (02): : 489 - 493
  • [44] Cebysev's Type Inequalities and Power Inequalities for the Berezin Number of Operators
    Garayev, Mubariz T.
    Yamanci, Ulas
    FILOMAT, 2019, 33 (08) : 2307 - 2316
  • [45] INEQUALITIES FOR MEANS
    VAMANAMURTHY, MK
    VUORINEN, M
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 183 (01) : 155 - 166
  • [46] Gruss-Type Inequalities by Means of Generalized Fractional Integrals
    Sousa, J. Vanterler da C.
    Oliveira, D. S.
    de Oliveira, E. Capelas
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2019, 50 (04): : 1029 - 1047
  • [47] Simpson-type inequalities by means of tempered fractional integrals
    Almoneef, Areej A.
    Hyder, Abd-Allah
    Hezenci, Fatih
    Budak, Huseyin
    AIMS MATHEMATICS, 2023, 8 (12): : 29411 - 29423
  • [48] NORM INEQUALITIES OF DAVIDSON-POWER TYPE
    Al-Natoor, Ahmad
    Audeh, Wasim
    Kittaneh, Fuad
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (02): : 689 - 697
  • [49] HERMITE-HADAMARD TYPE INEQUALITIES FOR STOLARSKY AND RELATED MEANS
    Pecaric, J.
    Peric, I.
    Lipanovic, M. Rodic
    RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, 2009, 16 (503): : 69 - 86
  • [50] Ando-Hiai type inequalities for multivariate operator means
    Hiai, Fumio
    Seo, Yuki
    Wada, Shuhei
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (11): : 2253 - 2281
12345