### Impacto

### Downloads

Downloads per month over past year

Muñoz-Fernández, Gustavo A. and Sánchez, V.M. and Seoane-Sepúlveda, Juan B.
(2011)
*L-P-Analogues of Bernstein and Markov Inequalities.*
Mathematical Inequalities & Applications, 14
(1).
pp. 135-145.
ISSN 1331-4343

PDF
Restringido a Repository staff only 210kB |

## Abstract

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.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Bernstein and Markov type inequality; trinomial |

Subjects: | Sciences > Mathematics > Functions |

ID Code: | 16897 |

Deposited On: | 26 Oct 2012 09:04 |

Last Modified: | 28 Nov 2016 08:08 |

### Origin of downloads

Repository Staff Only: item control page