Properties of certain moduli of continuity of integrable functions

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

Abstract


Estimates for M.K. Potapov's modulus of continuity of functions with given majorant of modulus of continuity in integral metric were estalished.

Keywords


modulus of continuity; integral; function

References



Potapov M.K. "On theorems of Jackson type in $$$L_p$$$ metric", Dokl. AN sssr, 1956; 111(6): pp. 1185-1188.

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

Potapov M.K. Some problems of the best approximation in $$$L_p$$$ metric: Diss. Cand.Phys.-Math.Sc., 1956.

Potapov M.K. "On the 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.




DOI: https://doi.org/10.15421/241316

  

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Copyright (c) 2013 V.P. Motornyi, V.V. Sedunova

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