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STUDIA MATHEMATICA - Issue no. 3 / 2019 | |||||||
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APPROXIMATION THEOREMS FOR MULTIVARIATE TAYLOR-ABEL-POISSON MEANS. Authors: JÜRGEN PRESTIN, VIKTOR SAVCHUK, ANDRII SHIDLICH. |
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Abstract: 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.
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