olemus
reaalvuline funktsioon \(f\), mille korral
\(f (ax + bx' ) \le a f (x ) + b f (x' )\),
kus
\(x\) ja \(y\) on reaalarvud
\(a\) ja \(b\) on positiivsed reaalarvud,
mille summa \(a + b = 1\)
=
a continuous function whose value at the midpoint of every interval in its domain does not exceed the arithmetic mean of its values at the ends of the interval

näide
ruutfunktsioon \(f(x) = x^2\)

ülevaateid
http://mathworld.wolfram.com/ConvexFunction.html

https://en.wikipedia.org/wiki/Convex_function

https://web.stanford.edu/class/ee364a/lectures/functions.pdf

https://www.encyclopediaofmath.org/index.php/Convex_function_(of_a_real_variable)

https://www.encyclopediaofmath.org/index.php/Convex_function_(of_a_complex_variable)

https://www.princeton.edu/~aaa/Public/Teaching/ORF523/S16/ORF523_S16_Lec7_gh.pdf

vt ka
- kumer
- kumer hulk