Research output: Contribution to journal › Article › peer-review
We consider approximate relations in the form of a system of linear algebraic equations that yield B φ -splines. We construct Lagrange type splines of the first order and give examples of polynomial, trigonometric, hyperbolic, and exponential B φ -splines. We also construct a system of linear functionals biorthogonal to the B φ -splines and resolve an interpolation problem generated by this system. For refined nonuniform grids we establish an embedding of spaces of B φ -splines. The decomposition and reconstruction formulas are obtained. Bibliography: 20 titles.
Original language | English |
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Pages (from-to) | 617-631 |
Number of pages | 15 |
Journal | Journal of Mathematical Sciences |
Volume | 156 |
Issue number | 4 |
DOIs | |
State | Published - Jan 2009 |
ID: 13741809