Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm)
Copyright policy )Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm)
In the present paper, using S.L. Sobolev's method, interpolation spline that minimizes the expression $\int_0^1(��^{(m)}(x)+��^2��^{(m-2)}(x))^2dx$ in the $K_2(P_m)$ space are constructed. Explicit formulas for the coefficients of the interpolation splines are obtained. The obtained interpolation spline is exact for monomials $1,x,x^2,..., x^{m-3}$ and for trigonometric functions $\sin��x$ and $\cos��x$.
- National University of Uzbekistan Uzbekistan
дискретного аргумента, interpolation spline, свойство минимизации нормы, метод Соболева, интерполяционный сплайн, Hilbert space, Sobolev's method, Numerical Analysis (math.NA), Approximate quadratures, Spline approximation, norm minimizing property, discrete argument function, FOS: Mathematics, Sobolev’s method, Mathematics - Numerical Analysis, гильбертово пространство, 41A05, 41A15
дискретного аргумента, interpolation spline, свойство минимизации нормы, метод Соболева, интерполяционный сплайн, Hilbert space, Sobolev's method, Numerical Analysis (math.NA), Approximate quadratures, Spline approximation, norm minimizing property, discrete argument function, FOS: Mathematics, Sobolev’s method, Mathematics - Numerical Analysis, гильбертово пространство, 41A05, 41A15
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).17 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!