摘要
The goal of this paper is to establish the relations between general Bernstein and Nikol'skii type inequalities under some weak conditions. From these relations some known classical inequalities are implied. Also, a family of functions equipped with Bernstein type inequality which satisfies Nikol'skii type inequality is found.
The goal of this paper is to establish the relations between general Bernstein and Nikol'skii type inequalities under some weak conditions. From these relations some known classical inequalities are implied. Also, a family of functions equipped with Bernstein type inequality which satisfies Nikol'skii type inequality is found.
基金
Supported by the National Science Foundation of China(Grant 90818020, 60874029)