Sharp Constants of Approximation Theory. I. Multivariate Bernstein-Nikolskii Type Inequalities

Abstract

We prove limit relations between the sharp constants in the multivariate Bernstein-Nikolskii type inequalities for trigonometric polynomials and entire functions of exponential type with the spectrum in a centrally symmetric convex body.

20 pages, corrected typos, added references

Cited by in corpus (1)

• Sharp Constants of Approximation Theory. III. Certain Polynomial Inequalities of Different Metrics on Convex Sets