On mean approximation of function and its derivatives

V.P. Motornyi (Oles Honchar Dnipro National University)

Abstract


Some properties of the functions being integrable on the segment were considered in this article. Estimates for approximation are obtained.

Keywords


modulus of continuity; integral; function

MSC 2020


41A10; 46E30; 41A17

References


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Motornyi V.P., Klimenko M.S. "Mean approximation of functions by algebraic polynomials", Res. Math., 2012; 17: pp. 106-117. (in Ukrainian) doi:10.15421/241215

Motornyi V.P. "Some problems of approximation of functions by algebraic polynomials in the integral metric", Doklady AN SSSR, Ser. Matem., 1967; 172(3): pp. 537-540. (in Russian)

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) doi:10.1070/IM1971v005n04ABEH001122

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DOI: https://doi.org/10.15421/241807

  

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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