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The Khinchin Inequality for Generalized Rademacher Functions
Author(s) -
Meléndez Yolanda,
Tonge Andrew
Publication year - 1999
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19992020107
Subject(s) - mathematics , sequence (biology) , image (mathematics) , inequality , constant (computer programming) , pure mathematics , mathematical analysis , combinatorics , artificial intelligence , computer science , genetics , biology , programming language
We give a new proof of the Khinchin inequality for the sequenceof k ‐Rademacher functions:We obtain constants which are independent of k . Although the constants are not best possible, they improve estimates of Floret and Matos [4] and they do have optimal dependence on p as p → ∞.
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