On general Bernstein and Nikol’ski type inequalities

On general Bernstein and Nikol’ski type inequalities

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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.

作者 CAO Fei-long LIN Shao-bo ZHANG Bao-lin

机构地区 Department of Mathematics

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第1期35-42,共8页 高校应用数学学报（英文版）（B辑）

基金 Supported by the National Science Foundation of China(Grant 90818020, 60874029)

关键词 Bernstein inequality Nikol＇skii inequality Markov inequality. Bernstein inequality, Nikol＇skii inequality, Markov inequality.

分类号 O174.41 [理学—基础数学] O178 [理学—基础数学]

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Applied Mathematics(A Journal of Chinese Universities)

2010年第1期

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On general Bernstein and Nikol’ski type inequalities

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