University of Latvia, Zellu street 8, LV-1002 Riga, Latvia; Institute of Mathematics and Computer Science of University of Latvia, Rainis blvd. 29, LV-1459 Riga, Latvia
The paper deals with the generalized smoothing problem in abstract Hilbert spaces. This generalized problem involves particular cases such as the interpolating problem, the smoothing problem with weights, the smoothing problem with obstacles, the problem on splines in convex sets and others. The theorem on the existence and characterization of a solution of the generalized problem is proved. It is shown how the theorem gives already known theorems in special cases as well as some new results.
Asmuss, S., & Budkina, N. (2015). On Some Generalization of Smoothing Problems. Mathematical Modelling and Analysis, 20(3), 311-328. https://doi.org/10.3846/13926292.2015.1048756
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