Construction of interpolation splines minimizing the semi-norm in the\n space K₂(P_m)

2014/10/20 by A.R. Hayotov, Hayotov, Abdullo R.
Computer Science · Environmental Science · Engineering · #Advanced Computational Techniques in Science and Engineering #Aerospace, Electronics, Mathematical Modeling #Heat Transfer and Mathematical Modeling

paper · pdf · doi:10.48550/arxiv.1410.5312

Abstract

In the present paper, using S.L. Sobolev's method, interpolation spline that\nminimizes the expression\n\∫₀¹(\φ^(m)(x)+\ω²\φ^(m-2)(x))²dx in the K₂(P_m)\nspace are constructed. Explicit formulas for the coefficients of the\ninterpolation splines are obtained. The obtained interpolation spline is exact\nfor monomials 1,x,x²,..., x^m-3 and for trigonometric functions\n\sin\ω x and \cos\ω x.\n

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