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math.FA2023
On some sharp Landau--Kolmogorov--Nagy type inequalities in Sobolev spaces of multivariate functions
V. F. Babenko, V. V. Babenko, O. V. Kovalenko +1
For a function from the Sobolev space ( is an open convex cone), a sharp inequality that estimates via the -norm…
math.FA2023
Nagy type inequalities in metric measure spaces and some applications
Vladyslav Babenko, Vira Babenko, Oleg Kovalenko +1
We obtain a sharp Nagy type inequality in a metric space with measure that estimates the uniform norm of a function using its -- norm determined by a…
math.FA2023
On Landau -- Kolmogorov type inequalities for charges and their applications
Vladyslav Babenko, Vira Babenko, Oleg Kovalenko +1
In this article we prove sharp Landau--Kolmogorov type inequalities on a class of charges defined on Lebesgue measurable subsets of a cone in , , that are ab…