39 citations · 52 across the 11 of their papers we have counts for
5 papers · 1 filter
Finite Sections of Weighted Hardy's Inequality
Peng Gao
We study finite sections of weighted Hardy's inequality following the approach of De Bruijn. Similar to the unweighted case, we obtain an asymptotic expression for the optimal cons…
A Note On Mixed Mean Inequalities
Peng Gao
We give a simpler proof of a result of Holland concerning a mixed arithmetic-geometric mean inequality. We also prove a result of mixed mean inequality involving the symmetric mean…
Finite Sections of Weighted Carleman's Inequality
Peng Gao
We study finite sections of weighted Carleman's inequality following the approach of De Bruijn. Similar to the unweighted case, we obtain an asymptotic expression for the optimal c…
A Note on Carleman's Inequality
Peng Gao
We study a weighted version of Carleman's inequality via Carleman's original approach. As an application of our result, we prove a conjecture of Bennett.
A Note on Sums of Powers
Peng Gao
We improve a result of Bennett concerning certain sequences involving sums of powers of positive integers.