### Properties and approximation of integrable functions

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Motornyi V.P. "Approximation of functions by algebraic polynomials in $$$L_p$$$ metric", *Izv. AN SSSR. Ser.: Matematika*, 1971; 35(4): pp. 874-899. (in Russian)

Ul'yanov P.L. "On series by Haar system", *Matem. sbornik*, 1964; 63(3): pp. 356-391. (in Russian)

Ul'yanov P.L. "Inclusion of certain classes $$$H_p^{\omega}$$$ of functions", *Izvestiya AN USSR. Ser. matem.*, 1968; 32(3): pp. 649-686. (in Russian)

Timan A.F. *Approximation theory for real-variable functions*, Fizmatgiz, Moscow, 1960; 624 p. (in Russian)

Hodak L.B. *Some problems of approximation of non-periodic functions by algebraic polynomials: Diss. Cand. Phys.-Math. Sc.*, Dnipropetrovsk, 1979; 108 p. (in Russian)

Motornyi V.P., Klimenko M.S. "Mean approximation of functions by algebraic polynomials", *Dnipr. Univ. Math. Bull.*, 2012; 17: pp. 106-117. (in Ukrainian)

DOI: https://dx.doi.org/10.15421/241707

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