Existence and Uniqueness of the Non-Polynomial Spline Spaces with Maximal Smoothness

AUTHOR(S):

TITLE

Existence and Uniqueness of the Non-Polynomial Spline Spaces with Maximal Smoothness

ABSTRACT

The aims of the paper are to obtain necessary and sufficient conditions of existence and smoothness for non-polynomial spline spaces of order m, to establish the uniqueness of the Bf-spline spaces in the class C m-1 among mentioned spaces (under condition of fixed grid and fixed generating vector function f), and to prove the embedding of the Bf-spline spaces corresponding to embedded grids.

KEYWORDS

non-polynomial splines, spline spaces, embedding, calibration relations, enlargement spline grid

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Cite this paper

Yu. K. Dem’yanovich. (2016) Existence and Uniqueness of the Non-Polynomial Spline Spaces with Maximal Smoothness. International Journal of Mathematical and Computational Methods, 1, 389-392