arXiv · 1303.1300
Approximation by linear methods of classes of $(ψ,\barβ)-$differentiable functions
Abstract
We calculate the least upper bounds for approximations in the metric of the space $L_2$ by linear methods of summation of Fourier series on classes of periodic functions $L^ψ_{\barβ,1}$ defined by sequences of multipliers $ψ=ψ(k)$ and shifts of argument $\barβ=β_k$.
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A. S. Serdyuk, I. V. Sokolenko. 2013-03-06. Approximation by linear methods of classes of $(ψ,\barβ)-$differentiable functions. https://arxiv.org/abs/1303.1300
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