Nikol’skii Inequality Between the Uniform Norm and Integral Norm with Bessel Weight for Entire Functions of Exponential Type on the Half-Line
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DOI: 10.1007/s10476-018-0103-6
Abstract: We study a Nikol’skii type inequality for even entire functions of given exponential type between the uniform norm on the half-line [0,∞) and the norm (∫0∞|f(x)|qx2α+1dx)1/q of the space Lq((0,∞), x2α+1) with the Bessel weight… read more here.
Keywords: half line; nikol skii; uniform norm; norm ... See more keywords
A Bohr-Nikol’skii Inequality for Weighted Lebesgue Spaces
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DOI: 10.1007/s40306-018-00322-1
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. read more here.
Keywords: inequality; weighted lebesgue; inequality weighted; nikol skii ... See more keywords