Abstract
Walter (J Approx Theory 80:108–118, 1995), Xiehua (Approx Theory Appl 14(1):81–90, 1998) and Lal and Kumar (Lobachevskii J Math 34(2):163–172, 2013) established results on pointwise and uniform convergence of wavelet expansions. Working in this direction new more general theorems on degree of pointwise approximation by such expansions have been proved.
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Łenski, W., Szal, B. Approximation of Integrable Functions by Wavelet Expansions. Results Math 72, 1203–1211 (2017). https://doi.org/10.1007/s00025-016-0614-z
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DOI: https://doi.org/10.1007/s00025-016-0614-z