2017
Том 69
№ 9

All Issues

Inequalities for the Fractional Derivatives of Trigonometric Polynomials in Spaces with Integral Metrics

Kolomoitsev Yu. S.


Abstract

We establish necessary and sufficient conditions for the validity of Bernstein-type inequalities for the fractional derivatives of trigonometric polynomials of several variables in spaces with integral metrics. The problem of sharpness of these inequalities is investigated.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 1, pp 45-61.

Citation Example: Kolomoitsev Yu. S. Inequalities for the Fractional Derivatives of Trigonometric Polynomials in Spaces with Integral Metrics // Ukr. Mat. Zh. - 2015. - 67, № 1. - pp. 42-56.