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math.FA2014
On interpolation and extremal properties of periodic perfect splines
V. F. Babenko, O. V. Kovalenko
Existing and extremal property of periodic perfect spline, which interpolates given function in the mean were proved.
math.FA2014★ 1 cited
On Optimal Recovery of Integrals of Set-Valued Functions
V. F. Babenko, V. V. Babenko, M. V. Polischuk
In this paper we consider the problem of optimization of approximate integration of set-valued functions from the class defined by given majorant of their moduli of continuity, usi…