Monotonicity of generalized weighted mean values

Alfred Witkowski

Colloquium Mathematicae (2004)

  • Volume: 99, Issue: 2, page 203-206
  • ISSN: 0010-1354

Abstract

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The author gives a new simple proof of monotonicity of the generalized extended mean values M ( r , s ) = ( ( f s d μ ) / ( f r d μ ) ) 1 / ( s - r ) introduced by F. Qi.

How to cite

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Alfred Witkowski. "Monotonicity of generalized weighted mean values." Colloquium Mathematicae 99.2 (2004): 203-206. <http://eudml.org/doc/284435>.

@article{AlfredWitkowski2004,
abstract = {The author gives a new simple proof of monotonicity of the generalized extended mean values $M(r,s) = ≤((∫ f^s dμ)/(∫ f^r dμ))^\{1/(s-r)\}$ introduced by F. Qi.},
author = {Alfred Witkowski},
journal = {Colloquium Mathematicae},
keywords = {convexity; monotonicity; power means; generalized weighted mean values; inequalities},
language = {eng},
number = {2},
pages = {203-206},
title = {Monotonicity of generalized weighted mean values},
url = {http://eudml.org/doc/284435},
volume = {99},
year = {2004},
}

TY - JOUR
AU - Alfred Witkowski
TI - Monotonicity of generalized weighted mean values
JO - Colloquium Mathematicae
PY - 2004
VL - 99
IS - 2
SP - 203
EP - 206
AB - The author gives a new simple proof of monotonicity of the generalized extended mean values $M(r,s) = ≤((∫ f^s dμ)/(∫ f^r dμ))^{1/(s-r)}$ introduced by F. Qi.
LA - eng
KW - convexity; monotonicity; power means; generalized weighted mean values; inequalities
UR - http://eudml.org/doc/284435
ER -

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