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On the Best Possible Constants in the Khintchine Inequality
Author(s) -
Young R. M. G.
Publication year - 1976
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-14.3.496
Subject(s) - banach space , mathematics , inequality , constant (computer programming) , discrete mathematics , pure mathematics , combinatorics , mathematical analysis , computer science , programming language
The best constants for subquadratic Rademacher averages for the Banach spaces L p (X, m ) areB p = 21 2{ Γ ( 1 2 ( p + 1 ) ) / Γ ( 1 2 ) } 1 / pfor p ⩾ 3.