Lp-ANALOGUES OF BERNSTEIN AND MARKOV INEQUALITIES

被引：0

作者：

Munoz-Fernandez, G. A. ^{[1
]}

Sanchez, V. M. ^{[1
]}

Seoane-Sepulveda, J. B. ^{[1
]}

机构：

[1] Univ Complutense Madrid, Dept Anal Matemat, E-28040 Madrid, Spain

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2011年 / 14卷 / 01期

关键词：

Bernstein and Markov type inequality; trinomial; BANACH-SPACES; CONVEX-BODIES; POLYNOMIALS; DERIVATIVES; BOUNDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let parallel to . parallel to(infinity) denote the sup norm on [-1,1]. If x is an element of [-1,1] is fixed and M-m,M-n(x) is the best constant in vertical bar p'(x)vertical bar <= M-m,M-n(x)parallel to p parallel to(infinity), for all trinomials p of the form p(x) = ax(m) + bx(n) + c with a, b, c is an element of R, then the exact value of M-m,M-n(x) is known for large families of pairs (m,n) is an element of N-2. Here we consider the same problem for L-p-norms.

引用

页码：135 / 145

页数：11

共 21 条

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