Mean approximation of functions by algebraic polynomials

V.P. Motornyi; M.S. Klimenko

doi:10.15421/241215

Mean approximation of functions by algebraic polynomials

V.P. Motornyi (Oles Honchar Dnipropetrovsk National University)
M.S. Klimenko (Oles Honchar Dnipropetrovsk National University)

Abstract

Estimates for approximation of functions with given majorant of modulus of continuity by polynomials in integral metrics were estalished.

Keywords

мodulus of continuity; Jackson theorem

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References

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

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