On approximation by trigonometrical polynomials in $$$L_2$$$ space

O.V. Polyakov

doi:10.15421/241614

On approximation by trigonometrical polynomials in $$$L_2$$$ space

O.V. Polyakov (Oles Honchar Dnipropetrovsk National University)

Abstract

We obtain certain inequalities of Jackson type, connecting the value of the best approximation of periodic differentiable functions and the generalized modulus of continuity of the highest derivative.

Keywords

best approximation; modulus of continuity

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References

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