MathDB

Chisinau MO p130 1976 X |f (x) - f (y) | <= | x - y|^a , a>1. constant

Source:

March 16, 2021

algebrafunctionfunctional

Problem Statement

Prove that the function

f (x)

satisfying the relation

|f (x) - f (y) | \le | x - y|^a

for any real numbers

x, y

and some number

a> 1

is constant.