Abstract
Let G be a p-series group and Ω be a compact subgroup of G. Let λ(x,r) and λn (x,r) be Abelp-poisson type kernel and product type kernel on Ω respectively. In this paper we discuss the approximation properties of such kernels, give the estimates of their moments, obtain the direct and inverse approximation theorems.
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Zhou, G. Abel-poisson type kernel and product type kernel onp-series group. Approx. Theory & its Appl. 14, 46–52 (1998). https://doi.org/10.1007/BF02856148
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DOI: https://doi.org/10.1007/BF02856148