Landau and Kolmogoroff type polynomial inequalities II
Nenhuma Miniatura disponível
Data
2004-06-01
Autores
De Andrade, Eliana X.L. [UNESP]
Dimitrov, Dimitar K. [UNESP]
De Sousa, Lisandra E. [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Resumo
Let 0 < j < m ≤ n. Kolmogoroff type inequalities of the form ∥f(j)∥2 ≤ A∥f(m)∥ 2 + B∥f∥2 which hold for algebraic polynomials of degree n are established. Here the norm is defined by ∫ f2(x)dμ(x), where dμ(x) is any distribution associated with the Jacobi, Laguerre or Bessel orthogonal polynomials. In particular we characterize completely the positive constants A and B, for which the Landau weighted polynomial inequalities ∥f′∥ 2 ≤ A∥f″∥2 + B∥f∥ 2 hold. © Dynamic Publishers, Inc.
Descrição
Palavras-chave
Bessel polynomials, Extremal polynomials, Jacobi polynomials, Laguerre polynomials, Landau and Kolmogoroff type inequalities, Markov's inequality, Rayleigh-Ritz theorem
Como citar
Archives of Inequalities and Applications, v. 2, n. 2-3, p. 339-353, 2004.