New variants of Khintchine's inequality.

Ioan Serb

Collectanea Mathematica (2001)

  • Volume: 52, Issue: 2, page 193-203
  • ISSN: 0010-0757

Abstract

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Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.

How to cite

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Serb, Ioan. "New variants of Khintchine's inequality.." Collectanea Mathematica 52.2 (2001): 193-203. <http://eudml.org/doc/42738>.

@article{Serb2001,
abstract = {Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.},
author = {Serb, Ioan},
journal = {Collectanea Mathematica},
keywords = {Desigualdad de Khintichine; Desigualdades; Convexidad; Rademacher functions; Khinchin's inequality; Schur convexity; Haagerup type of functions},
language = {eng},
number = {2},
pages = {193-203},
title = {New variants of Khintchine's inequality.},
url = {http://eudml.org/doc/42738},
volume = {52},
year = {2001},
}

TY - JOUR
AU - Serb, Ioan
TI - New variants of Khintchine's inequality.
JO - Collectanea Mathematica
PY - 2001
VL - 52
IS - 2
SP - 193
EP - 203
AB - Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.
LA - eng
KW - Desigualdad de Khintichine; Desigualdades; Convexidad; Rademacher functions; Khinchin's inequality; Schur convexity; Haagerup type of functions
UR - http://eudml.org/doc/42738
ER -

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