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math.CA2023★ 1 cited
Sharp Hardy's Inequalities in Hilbert Spaces
Dimitar K. Dimitrov, Ivan Gadjev, Mourad E. H. Ismail
We study the behavior of the smallest possible constants and in Hardy's inequalities $$ \int_a^b\left(\frac{1}{x}\int_a^xf(t)dt\right)^2\,dx\leq d(a,b)\,\int_a^b [f(…
math.CA2023
An extremal problem and inequalities for entire functions of exponential type
Andrés Chirre, Dimitar K. Dimitrov, Emily Quesada-Herrera +1
We study two variations of the classical one-delta problem for entire functions of exponential type, known also as the Carathéodory--Fejér--Turán problem. The first variation impos…