### On classification of integrable functions

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Potapov M.K. "On the approximation by algebraic polynomials in $$$L_p$$$ metric", *Researches on modern problems of constructive function theory*, Moscow, 1961. (in Russian)

Potapov M.K. "On the approximation of non-periodic functions by algebraic polynomials", *Vestn. Mosk. un-ta*, 1960; 4: pp. 14-25. (in Russian)

Timan A.F. *Theory of real-variable functions approximation*, GIFML, Moscow, 1960; 624 p. (in Russian)

Ditzian Z., Totik V. *Moduli of smoothness*, Springer-Verlag, Berlin, 1993; 225 p.

Motornyi V.P., Sedunova V.V. "Properties of certain moduli of continuity of integrable functions", *Dnipr. Univ. Math. Bull.*, 2013; 18: pp. 132-140. (in Ukrainian)

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)

Sedunova V.V. "Properties of certain moduli of continuity of integrable functions in $$$L_p$$$ spaces", *Dnipr. Univ. Math. Bull.*, 2014; 22(19): pp. 80-91. (in Ukrainian)

Motornyi V.P. "On the classes of M.K. Potapov", *Dnipr. Univ. Math. Bull.*, 2014; 22(19): pp. 62-72. (in Russian)

DOI: https://dx.doi.org/10.15421/241506

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