On Bernstein inequalities for multivariate trigonometric polynomials in Lp, 0 ⩽ p ⩽ ∞.

Autor: Zhu, Laiyi, Zhao, Xingjun
Zdroj: Czechoslovak Mathematical Journal; Jun2022, Vol. 72 Issue 2, p449-459, 11p
Abstrakt: Let be the space of all trigonometric polynomials of degree not greater than n with complex coefficients. Arestov extended the result of Bernstein and others and proved that for 0 ⩽ p ⩽ ∞ and . We derive the multivariate version of the result of Golitschek and Lorentz for all trigonometric polynomials (with complex coefficients) in m variables of degree at most n. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index