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Authors: JÜRGEN PRESTIN, VIKTOR SAVCHUK, ANDRII SHIDLICH.
We obtain direct and inverse approximation theorems of functions of
several variables by Taylor-Abel-Poisson means in the integral metrics. We also show that norms of multipliers in the spaces Lp;Y (Td) are equivalent for all positive integers d.
Mathematics Subject Classification (2010): 41A27, 42A45, 41A35.
Keywords: Direct approximation theorem, inverse approximation theorem,
Taylor-Abel-Poisson means, K-functional, multiplier.
