Open AccessThe Improvement of Hölder’s Inequality with r -Conjugate Exponents Relative to the L p -Norm
Author(s) -
Xiaojun Liang,
Aying Wan
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/5534469
Subject(s) - norm (philosophy) , conjugate , mathematics , inequality , combinatorics , mathematical analysis , law , political science
This paper investigates Holder’s inequality under the condition of - conjugate exponents in the sense that . Successively, we have, under - conjugate exponents relative to the - norm, investigated generalized Holder’s inequality, the interpolation of Holder’s inequality, and generalized - order Holder’s inequality which is an expansion of the known Holder’s inequality.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom