M. V. Babushkin, V. V. Zhuk, “On two-sided estimates for some functionals in terms of the best approximations”, Zap. Nauchn. Sem. POMI, 2016, Volume 449,Pages <nobr>15

This article is cited in 2 papers

On two-sided estimates for some functionals in terms of the best approximations

M. V. Babushkin, V. V. Zhuk

St. Petersburg State University, St. Petersburg, Russia

Abstract: Two-sided estimates in terms of the best approximations by trigonometric polynomials are established for some functionals connected with approximation theory.

Key words and phrases: modulus of continuity, best approximation, Fejer and Jackson integrals, Fejer–Vallee Poussin and Jackson–Vallee Poussin integrals.

UDC: 517.5

Received: 07.11.2016