ON INVERSES OF THE HOLDER INEQUALITY

被引：9
|
作者：
ZHUANG, YD
机构：
[1] Department of Mathematics, Yangzhou Teacher College, Yangzhou
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1991年 / 161卷 / 02期
关键词：
D O I：
10.1016/0022-247X(91)90351-Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (X, Σ, μ) be a finite measure space, Lp = Lp(X, Σ, μ) be the space of all pth power positive integrable functions over (X, Σ, μ), p > 1, 1 p + 1 q = 1, then for f, g ε{lunate} Lp the Hölder inequality ∥ fg ∥1 ≤ ∥ f ∥p ∥ g ∥q holds, where ∥ f ∥p = (∝Xfp dμ) 1 p. In this paper, we discuss its inverses. © 1991.
引用
收藏
页码：566 / 575
页数：10
相关论文
共 50 条
  • [41] THE CONVERSE OF THE HOLDER INEQUALITY AND ITS GENERALIZATIONS
    MATKOWSKI, J
    STUDIA MATHEMATICA, 1994, 109 (02) : 171 - 182
  • [42] MATRIX INEQUALITIES RELATED TO HOLDER INEQUALITY
    Albadawi, Hussien
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2013, 7 (02) : 162 - 171
  • [43] A generalized Holder type eigenvalue inequality
    Liu, Jun-Tong
    Poon, Yiu-Tung
    Wang, Qing-Wen
    LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (10): : 2145 - 2151
  • [44] 103.35 Holder's inequality revisited
    Razminia, K.
    MATHEMATICAL GAZETTE, 2019, 103 (558): : 512 - 514
  • [45] Holder type inequality for Sugeno integral
    Wu, Limin
    Sun, Jingbo
    Ye, Xiqing
    Zhu, Liping
    FUZZY SETS AND SYSTEMS, 2010, 161 (17) : 2337 - 2347
  • [46] Power means and the reverse Holder inequality
    Didenko, Victor D.
    Korenovskyi, Anatolii A.
    STUDIA MATHEMATICA, 2011, 207 (01) : 85 - 95
  • [47] A remark over the converse of Holder inequality
    Cuenya, HH
    Levis, FE
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 1999, 3 (02) : 127 - 135
  • [48] APPLICATION OF HOLDER'S INEQUALITY AND CONVOLUTIONS
    Goyal, S. P.
    Singh, Onkar
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (02): : 120 - 128
  • [49] HOLDER ERROR BOUND FOR CONIC INEQUALITY
    Zhu, Jiangxing
    Hu, Chunhai
    He, Qinghai
    Ouyang, Wei
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (02) : 295 - 305
  • [50] Holder Type Inequality and Jensen Type Inequality for Choquet Integral
    Zhao, Xuan
    Zhang, Qiang
    KNOWLEDGE ENGINEERING AND MANAGEMENT, 2011, 123 : 219 - 224
12345