On classes of M.K. Potapov

V.P. Motornyi

doi:10.15421/241408

On classes of M.K. Potapov

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

Abstract

Estimates for modulus of continuity functions, that are integrable on the segment, are obtained.

Keywords

modulus of continuity; integral; weight function

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References

Motornyi V.P., Sedunova V.V. "Properties of certain moduli of continuity of integrable functions", Res. Math., 2013; 18: pp. 132-140. (in Ukrainian) doi:10.15421/241316

Potapov M.K. "On approximation of non-periodic functions by algebraic polynomials", Vestn. mosk. un-ta, 1960; 4: pp. 14-25.

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

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

Goncharov S.V. "On approximation of functions by algebraic polynomials in $$$L^p_{\rho}$$$ metric", Res. Math., 2009; 14: pp. 48-59.