[图书][B] Means and their inequalities

PS Bullen, DS Mitrinovic, M Vasic - 2013 - books.google.com
Approach your problems from the right end It isn't! hat they can't see the solution. It is and
begin with the answers. Then one day, that they can't see the problem. perhaps you will find …

Utility and means in the 1930s

P Muliere, G Parmigiani - Statistical Science, 1993 - JSTOR
This paper reviews the early axiomatic treatments of quasi-linear means developed in the
late 1920s and the 1930s. These years mark the beginning of both axiomatic and …

On some functional inequalities related to the logarithmic mean.

W Fechner - Acta Mathematica Hungarica, 2010 - search.ebscohost.com
ON SOME FUNCTIONAL INEQUALITIES RELATED TO THE LOGARITHMIC MEAN Page 1
Acta Math. Hungar., 128 (1–2) (2010), 36–45. DOI: 10.1007/s10474-010-9153-3 First …

Characterization of the Hardy property of means and the best Hardy constants

Z Páles, P Pasteczka - arXiv preprint arXiv:1512.07265, 2015 - arxiv.org
The aim of this paper is to characterize in broad classes of means the so-called Hardy
means, ie, those means $ M\colon\bigcup_ {n= 1}^\infty\mathbb {R} _+^ n\to\mathbb {R} _+ …

On the best Hardy constant for quasi-arithmetic means and homogeneous deviation means

Z Pales, P Pasteczka - arXiv preprint arXiv:1710.02060, 2017 - arxiv.org
The aim of this paper is to characterize the so-called Hardy means, ie, those means $
M\colon\bigcup_ {n= 1}^\infty\mathbb {R} _+^ n\to\mathbb {R} _+ $ that satisfy the inequality …

[PDF][PDF] On applications of inequalities for quasideviation means in actuarial mathematics

J Chudziak - Math. Inequal. Appl, 2018 - files.ele-math.com
On applications of inequalities for quasideviation means in actuarial mathematics Page 1 M
athematical I nequalities & A pplications Volume 21, Number 3 (2018), 601–610 doi:10.7153/mia-2018-21-44 …

Comparison and equality of generalized -estimators

M Barczy, Z Páles - Annals of the Institute of Statistical Mathematics, 2024 - Springer
We solve the comparison problem for generalized\(\psi\)-estimators introduced by Barczy
and Páles (arXiv: 2211.06026, 2022). Namely, we derive several necessary and sufficient …

Comparison of means generated by two functions and a measure

L Losonczi, Z Páles - Journal of mathematical analysis and applications, 2008 - Elsevier
Given two continuous functions f, g: I→ R such that g is positive and f/g is strictly monotone,
and a probability measure μ on the Borel subsets of [0, 1], the two variable mean Mf, g; μ …

[PDF][PDF] Minkowski's inequality for two variable Gini means

L Losonczi, Z Páles - Acta Scientiarum Mathematicarum, 1996 - researchgate.net
Minkowski’s inequality for two variable Gini means Page 1 Minkowski’s inequality for two
variable Gini means László Losonczi ∗ Department of Mathematics and Computer Science …

On the equality of Bajraktarević means to quasi-arithmetic means

Z Páles, A Zakaria - Results in Mathematics, 2020 - Springer
This paper offers a solution of the functional equation &\big (tf (x)+(1-t) f (y)\big) φ (tx+ (1-t)
y)\&\quad= tf (x) φ (x)+(1-t) f (y) φ (y)\qquad (x, y ∈ I),(tf (x)+(1-t) f (y)) φ (tx+(1-t) y)= tf (x) φ …