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Acta Mathematica Vietnamica

A Bohr-Nikol’skii Inequality for Weighted Lebesgue Spaces

icon-email Ha Huy Bang , Vu Nhat Huy

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.