Optimal weighted harmonic interpolations between Seiffert means
Colloquium Mathematicae (2013)
- Volume: 130, Issue: 2, page 265-279
- ISSN: 0010-1354
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topAlfred Witkowski. "Optimal weighted harmonic interpolations between Seiffert means." Colloquium Mathematicae 130.2 (2013): 265-279. <http://eudml.org/doc/283917>.
@article{AlfredWitkowski2013,
abstract = {
We provide a set of optimal estimates of the form
(1-μ)/𝓐(x,y) + μ/ℳ (x,y) ≤ 1/ℬ(x,y) ≤ (1-ν)/𝓐(x,y) + ν/ℳ (x,y)
where 𝓐 < ℬ are two of the Seiffert means L,P,M,T, while ℳ is another mean greater than the two.
},
author = {Alfred Witkowski},
journal = {Colloquium Mathematicae},
keywords = {Seiffert means; harmonic mean; logarithmic mean; interpolation},
language = {eng},
number = {2},
pages = {265-279},
title = {Optimal weighted harmonic interpolations between Seiffert means},
url = {http://eudml.org/doc/283917},
volume = {130},
year = {2013},
}
TY - JOUR
AU - Alfred Witkowski
TI - Optimal weighted harmonic interpolations between Seiffert means
JO - Colloquium Mathematicae
PY - 2013
VL - 130
IS - 2
SP - 265
EP - 279
AB -
We provide a set of optimal estimates of the form
(1-μ)/𝓐(x,y) + μ/ℳ (x,y) ≤ 1/ℬ(x,y) ≤ (1-ν)/𝓐(x,y) + ν/ℳ (x,y)
where 𝓐 < ℬ are two of the Seiffert means L,P,M,T, while ℳ is another mean greater than the two.
LA - eng
KW - Seiffert means; harmonic mean; logarithmic mean; interpolation
UR - http://eudml.org/doc/283917
ER -
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