2 papers
math.CA2026
On the Constant and Extremal Function for Weighted Hardy Inequality in
Ivan Gadjev
We study the behaviour of the smallest possible constant in Hardy inequality $$ \int_a^b\left(\frac{1}{x}\int_a^xf(t)dt\right)^px^ε\,dx\leq d(a,b,p,ε)\,\int_a^b [f…
math.CA2026
Weighted Hardy Inequality in
Ivan Gadjev
We study the behaviour of the smallest possible constant in weighted Hardy inequality $$ \sum_{k=1}^{n}\Big(\frac{1}{k}\sum_{j=1}^{k}a_j\Big)^2 k^ε\le d(n,ε)\,\sum_{k=1}^{n…