On exact values of relative approximations of classes of periodic functions by splines

N.V. Parfinovich; I.A. Shevchenko

doi:10.15421/241611

On exact values of relative approximations of classes of periodic functions by splines

N.V. Parfinovich (Oles Honchar Dnipropetrovsk National University)
I.A. Shevchenko (Oles Honchar Dnipropetrovsk National University)

Abstract

We obtain the conditions under which the exact values of the best relative approximation of classes of periodic functions by splines coincide with the exact values of the best approximations of these classes by splines without constraints.

Keywords

spline; the best approximation; Sobolev classes

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References

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