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. (in Russian)

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

Potapov M.K. Some problems of the best approximation in $$$L_p$$$ metric: Diss. Cand.Phys.-Math.Sc., Moscow, 1956; 105 p. (in Russian)

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




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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