A new approach to Hardy-type inequalities. (English) Zbl 1318.26046
In this paper, the author introduced a new method to prove a general weighted Hardy-type inequality on the halfline. This new method allowed the deduction of a given estimate from the existence of a certain special function which posses appropriate domination and monotonicity properties. As an application, a new proof of the classical Hardy type inequality obtained by G. A. Bliss [J. Lond. Math. Soc. 5, 40–46 (1930; JFM 56.0434.02)] was presented.
Reviewer: James Adedayo Oguntuase (Abeokuta)
MSC:
| 26D15 | Inequalities for sums, series and integrals |
| 26D10 | Inequalities involving derivatives and differential and integral operators |
| 26A46 | Absolutely continuous real functions in one variable |
Citations:
JFM 56.0434.02References:
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