The Young inequality and the Δ₂-condition

Philippe Laurençot. "The Young inequality and the Δ₂-condition." Colloquium Mathematicae 94.2 (2002): 221-223. <http://eudml.org/doc/285358>.

@article{PhilippeLaurençot2002,
abstract = {If φ: [0,∞) → [0,∞) is a convex function with φ(0) = 0 and conjugate function φ*, the inequality $xy ≤ εφ(x) + C_\{ε\}φ*(y)$ is shown to hold true for every ε ∈ (0,∞) if and only if φ* satisfies the Δ₂-condition.},
author = {Philippe Laurençot},
journal = {Colloquium Mathematicae},
keywords = {Young inequality; -condition; convex function},
language = {eng},
number = {2},
pages = {221-223},
title = {The Young inequality and the Δ₂-condition},
url = {http://eudml.org/doc/285358},
volume = {94},
year = {2002},
}

TY - JOUR
AU - Philippe Laurençot
TI - The Young inequality and the Δ₂-condition
JO - Colloquium Mathematicae
PY - 2002
VL - 94
IS - 2
SP - 221
EP - 223
AB - If φ: [0,∞) → [0,∞) is a convex function with φ(0) = 0 and conjugate function φ*, the inequality $xy ≤ εφ(x) + C_{ε}φ*(y)$ is shown to hold true for every ε ∈ (0,∞) if and only if φ* satisfies the Δ₂-condition.
LA - eng
KW - Young inequality; -condition; convex function
UR - http://eudml.org/doc/285358
ER -