A generalization of Hilbert's inequality

DOI10.7153/MIA-18-30zbMATH Open1326.26043arXiv1310.6106OpenAlexW2963567320MaRDI QIDQ2950276

Peng Gao

Publication date: 8 October 2015

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Abstract: In a generalization of the classical Hilbert inequality by Hardy, Littlewood and P'{o}lya, the best constant for an inequality is determined provided that the generating function for the corresponding matrix satisfies certain monotonicity condition. In this paper, we determine the best constant for a class of inequalities when the monotonicity condition is no longer satisfied.

Full work available at URL: https://arxiv.org/abs/1310.6106

zbMATH Keywords

Hilbert's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

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