dc.contributor | Universidade Estadual Paulista (Unesp) | |
dc.contributor | Sofia Univ St Kliment Ohridski | |
dc.date.accessioned | 2021-06-25T15:03:12Z | |
dc.date.accessioned | 2022-12-19T23:02:45Z | |
dc.date.available | 2021-06-25T15:03:12Z | |
dc.date.available | 2022-12-19T23:02:45Z | |
dc.date.created | 2021-06-25T15:03:12Z | |
dc.date.issued | 2021-06-01 | |
dc.identifier | Proceedings Of The American Mathematical Society. Providence: Amer Mathematical Soc, v. 149, n. 6, p. 2515-2529, 2021. | |
dc.identifier | 0002-9939 | |
dc.identifier | http://hdl.handle.net/11449/210267 | |
dc.identifier | 10.1090/proc/15467 | |
dc.identifier | WOS:000643563200022 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/5390867 | |
dc.description.abstract | We study the behaviour of the smallest possible constants d(n), and c(n), in Hardy's inequalities Sigma(n)(k=1) (1/k Sigma(k)(j=1) a(j))(2) <= d(n) Sigma(n)(k=1) a(k)(2), (a(1), ..., a(n)) is an element of R-n and integral(infinity)(0) (1/x integral(x)(0) f(t) dt)(2) dx <= c(n) integral(infinity)(0) f(2)(x) dx, f is an element of H-n, for the finite dimensional spaces R-n and H-n := { f : f(o)(x) f(t)dt = e(-x/2) p(x) : p is an element of P-n,p(0) = 0}, where P-n is the set of real-valued algebraic polynomials of degree not exceeding n. The constants d(n) and c(n) are identified to be expressed in terms of the smallest zeros of the so-called continuous dual Hahn polynomials and the two-sided estimates for d(n) and c(n) of the form 4 - c/In n < d(n), c(n) < 4 - c/In-2 n, c > 0 are established. | |
dc.language | eng | |
dc.publisher | Amer Mathematical Soc | |
dc.relation | Proceedings Of The American Mathematical Society | |
dc.source | Web of Science | |
dc.title | HARDY'S INEQUALITIES IN FINITE DIMENSIONAL HILBERT SPACES | |
dc.type | Artículos de revistas | |