ABSTRACT
Talenti’s Inequality If a > 0 and f is positive and decreasing on [a, b] then
log
( 1 +
1 + af(a)
f
) ≤ ∫ b a
f(t)
1 + tf(t) dt.
Comment This result has been extended and provided with an inverse by Lemmert & Alzer.
Talenti’s Inequality If a > 0 and f is positive and decreasing on [a, b] then
log
( 1 +
1 + af(a)
f
) ≤ ∫ b a
f(t)
1 + tf(t) dt.
Comment This result has been extended and provided with an inverse by Lemmert & Alzer.