Approximation by linear methods of classes of (ψ,β)-differentiable functions

2013/03/06 by A. S. Serdyuk, Serdyuk, A. S., И. В. Соколенко +1
Mathematics · #Approximation Theory and Sequence Spaces #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1303.1300

Abstract

We calculate the least upper bounds for approximations in the metric of the space L₂ by linear methods of summation of Fourier series on classes of periodic functions L^ψ_β,1 defined by sequences of multipliers ψ=ψ(k) and shifts of argument β=β_k.

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