Comparison theorems of isoperimetric type for moments of compact sets.

F. G. Avkhadiev; I. R. Kayumov

Collectanea Mathematica (2004)

  • Volume: 55, Issue: 1, page 1-9
  • ISSN: 0010-0757

Abstract

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A unified approach to prove isoperimetric inequalities for moments and basic inequalities of interpolation spaces L(p,q) is developed. Instead symmetrization methods we use a monotonicity property of special Stiltjes' means.

How to cite

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Avkhadiev, F. G., and Kayumov, I. R.. "Comparison theorems of isoperimetric type for moments of compact sets.." Collectanea Mathematica 55.1 (2004): 1-9. <http://eudml.org/doc/44324>.

@article{Avkhadiev2004,
abstract = {A unified approach to prove isoperimetric inequalities for moments and basic inequalities of interpolation spaces L(p,q) is developed. Instead symmetrization methods we use a monotonicity property of special Stiltjes' means.},
author = {Avkhadiev, F. G., Kayumov, I. R.},
journal = {Collectanea Mathematica},
keywords = {Desigualdades; Teorema de comparación; moments; isoperimetric inequality; Stieltjes integral; multinomial distribution},
language = {eng},
number = {1},
pages = {1-9},
title = {Comparison theorems of isoperimetric type for moments of compact sets.},
url = {http://eudml.org/doc/44324},
volume = {55},
year = {2004},
}

TY - JOUR
AU - Avkhadiev, F. G.
AU - Kayumov, I. R.
TI - Comparison theorems of isoperimetric type for moments of compact sets.
JO - Collectanea Mathematica
PY - 2004
VL - 55
IS - 1
SP - 1
EP - 9
AB - A unified approach to prove isoperimetric inequalities for moments and basic inequalities of interpolation spaces L(p,q) is developed. Instead symmetrization methods we use a monotonicity property of special Stiltjes' means.
LA - eng
KW - Desigualdades; Teorema de comparación; moments; isoperimetric inequality; Stieltjes integral; multinomial distribution
UR - http://eudml.org/doc/44324
ER -

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