On approximation of nonperiodic functions by algebraic polynomials in $$$L_p$$$ metric ($$$0 < p < 1$$$)

L.B. Khodak

doi:10.15421/247710

On approximation of nonperiodic functions by algebraic polynomials in $$$L_p$$$ metric ($$$0 < p < 1$$$)

L.B. Khodak (Dnipropetrovsk State University)

Abstract

In the paper, we consider approximations of nonperiodic functions defined on $$$[-1, 1]$$$ by algebraic polynomials in $$$L_p$$$ metric ($$$0 < p < 1$$$).
In particular, for some classes we provide the constructive characteristic in the same metric.

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References

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