Approximation in Smirnov-Orlicz classes

Abstract

Abstract. We use the approximation properties of the Faber polynomials to obtain some direct theorems of the polynomial approximation in Smirnov-Orlicz classes.

Approximation of functions by de la Vallée-Poussin sums in weighted Orlicz spaces

“…The problems of approximation theory in weighted and nonweighted Lebesgue spaces, weighted and nonweighted Orlicz spaces have been investigated by several authors (see, e.g., [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][30][31][32]36,37,45,46]). …”

Approximation of periodic functions in weighted Orlicz spaces

“…Approximation by trigonometric polynomials and other related problems in the Orlicz and weighted Orlicz spaces were studied in [2,[8][9][10][11][12]17,18,21,23,24].…”

On the solvability of the Riemann boundary value problem in Morrey--Hardy classes

“…For example, some problems of harmonic analysis and approximation theory were considered in [1,[5][6][7][8]12].…”