Bernstein Type Inequalities for Quasipolynomials

نویسنده

  • Alexander Brudnyi
چکیده

We prove a Bernstein type inequality for multivariate quasipolynomials and apply it to carry out the following results. (1) The evaluation of the uniform norm for a quasipolynomial on a convex body V/R by that on a measurable subset of V. (2) The estimate of the BMO-norm for a quasipolynomial in terms of its degree and exponential type. (3) The reverse Ho lder inequality with a dimensionless constant. 2001 Academic Press

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 112  شماره 

صفحات  -

تاریخ انتشار 2001