T. M. Vukolova, “Estimates of the Mixed Norms of Derivatives and of the Mixed Moduli of Smoothness of Functions Having Monotone Fourier Coefficients”, Mat. Zametki, 2015, Volume 97, Issue 6,Pages <nobr>841

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Estimates of the Mixed Norms of Derivatives and of the Mixed Moduli of Smoothness of Functions Having Monotone Fourier Coefficients

T. M. Vukolova

M. V. Lomonosov Moscow State University

Abstract: Lower and upper bounds for the mixed norms of derivatives and mixed moduli of smoothness of functions having monotone Fourier coefficients are proved.

Keywords: mixed norm of a derivative, mixed modulus of smoothness, Fourier coefficient, Pringsheim convergence, Hardy–Littlewood theorem.

UDC: 517.5

Received: 20.02.2013
Revised: 03.12.2013

DOI: 10.4213/mzm10256