Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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A Bohr-Nikol’skii Inequality for Weighted Lebesgue Spaces

Ha Huy Bang , Vu Nhat Huy

pp. 701-710

Abstract

In this paper, we give a new inequality for weighted Lebesgue spaces called Bohr-Nikol’skii inequality, which combines the inequality of Bohr-Favard and the Nikol’skii idea of inequality for functions in different metrics.