Abstract
We consider trigonometric polynomial approximation problems in the multivariate weighted Lorentz spaces. In particular, we prove direct and converse theorems for trigonometric approximation in the multivariate weighted Lorentz spaces with \({\mathcal{A}_{p}}\) -weights.
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Yurt, H., Guven, A. Multivariate Approximation Theorems in Weighted Lorentz Spaces. Mediterr. J. Math. 12, 863–876 (2015). https://doi.org/10.1007/s00009-014-0446-6
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DOI: https://doi.org/10.1007/s00009-014-0446-6