Szabados 猜想的一个部分回答(英文)

A Partial Answer to a Conjecture of Szabados

本文中给出Szabados猜想的部分回答．即假设X是强标准的且X=[-1,1]，如果函数f（x）是连续可做的且满足||△x（f，X，x）||=o（n-1），那末f（x）为一常数．

A partial answer to a conjecture of Szabados is given in this paper. That is,supposethat X is strongly normal and X= [-1,1], if a function f (x ) with f'∈C satisfies ||△x (f,X,x ) ||=o(n-1) then j (x) =const.