One-dimensional differential Hardy inequality.
We establish necessary and sufficient conditions for the one-dimensional differential Hardy inequality to hold, including the overdetermined case. The solution is given in terms different from those of the known results. Moreover, the least constant for this inequality is estimated.
KIMEP University, Abai Ave. 4, Almaty, 050010 Kazakhstan ; L.N. Gumilyov Eurasian National University, Munaytpasov St. 5, Astana, 010008 Kazakhstan.
Aigerim
A
Kalybay
Hardy-type inequality; differential operator; inequality; weight