On approximation by polynomials and rational functions in Orlicz spaces

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 in weighted rearrangement invariant Smirnov spaces

“…We investigate approximation problems in the class H ω Γ E X (G, ω). Similar problems of the approximation theory in different spaces have been studied by several authors (see, for example, [3]- [5 ], [9], [16], [18], [30]- [35], [37], [46], [47], [49]and [50]). …”

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].…”