Resumen de Relations for moduli of smoothness in various metrics: functions with restrictions on the Fourier coefficients

Mijail Konstantinovich Potapov, B. V. Simonov, Sergey Tikhonov

• We study the interrelation between different expressions which contain the moduli of smoothness in various metrics, ωα(f, t)p and ωβ(f, t)q. We consider functions represented by trigonometric series with some conditions on Fourier coefficients:

  namely with quasi-monotone and lacunary coefficients.