39 citations · 52 across the 11 of their papers we have counts for
11 papers
On weighted mean matrices whose norms are determined on decreasing sequences
Peng Gao
We give a condition on weighted mean matrices so that their norms are determined on decreasing sequences when the condition is satisfied. We apply our result to give a proof…
A note on norms of weighted mean matrices
Peng Gao
We present some results concerning the norms of weighted mean matrices. These results can be regarded as analogues to a result of Bennett concerning weighted Carleman's inequ…
-level density of the low-lying zeros of quadratic Dirichlet -functions
Peng Gao
The Density Conjecture of Katz and Sarnak associates a classical compact group to each reasonable family of -functions. Under the assumption of the Generalized Riemann Hypothesi…
On norms of some weighted mean matrices
Peng Gao
We give another proof of a result of Bennett on the operator norms of some weighted mean matrices for the case and we also present some related results.
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…