An improved one-dimensional Hardy inequality. (English. Russian original) Zbl 1522.26015
J. Math. Sci., New York 268, No. 3, 323-342 (2022); translation from Probl. Mat. Anal. 118, 69-86 (2022).
Summary: We prove a one-dimensional Hardy inequality on the halfline with sharp constant, which improves the classical form of this inequality. As a consequence of this new inequality we can rederive known doubly weighted Hardy inequalities. Our motivation comes from the theory of Schrödinger operators and we explain the use of Hardy inequalities in that context.
MSC:
| 26D15 | Inequalities for sums, series and integrals |
References:
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