Modulus of a function;
Periodic function;
Approximation function;
D O I:
10.1016/j.aml.2010.10.017
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Let f (x) be a periodic function with period T. In Rivlin (1969) [1] it is claimed that the modulus of continuity is independent of a on [a, a + T]. In this note we show that this is not correct. (C) 2010 Elsevier Ltd. All rights reserved.
机构:
Lomonosov Moscow State Univ, Fac Mech & Math, Chair Math Anal, Moscow, Russia
Moscow Ctr Fundamental & Appl Math, Moscow, RussiaLomonosov Moscow State Univ, Fac Mech & Math, Chair Math Anal, Moscow, Russia