Sadulla Z. JAFAROV

APPROXIMATION BY FEJ´ ER SUMS OF FOURIER TRIGONOMETRIC SERIES IN WEIGHTED ORLICZ SPACES

In this work we investigate the approximation problems of the functionsby Fej´er sums of Fourier series in the reflexive weighted Orlicz spaceswith Muckenhoupt weights and of the functions by Fej´er sums of Faberseries in weighted Smirnov-Orlicz classes defined on simply connecteddomains with a Dini-smooth boundary of the complex plane.

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