On a Problem of Smoothing Histopolation under Additional Restrictions

14th International Conference on Applied Mathematics (APLIMAT 2015): Proceedings 2015
Nataļja Budkina, Svetlana Asmuss, Juris Breidaks

The problem of approximation of a density histogram is considered as the problem of smoothing histopolation with weights under some additional restrictions. The generalization of this problem for Hilbert spaces allows us to investigate this problem, prove the existence of its solutions and suggest the method for their construction. The other possibilities for using the obtained results in the statistical estimation problems are discussed.

Keywords
Density function; Histosplines; Interpolating splines; Mixed splines; Smoothing splines

Budkina, N., Asmuss, S., Breidaks, J. On a Problem of Smoothing Histopolation under Additional Restrictions. In: 14th International Conference on Applied Mathematics (APLIMAT 2015): Proceedings, Slovakia, Bratislava, 3-5 February, 2015. Bratislava: Institute of Mathematics and Physics, 2015, pp.20-30. ISBN 9781510801233.

Publication language
English (en)