Construction of natural L spline in W2,σ(2,1) space
Samandar BabaevV.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 9, University str., Tashkent 100174, UzbekistanNurali OlimovV.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 9, University str., Tashkent 100174, UzbekistanShafoat ImomovaBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanBekhruzjon KuvvatovBukhara State University, 11, M.Ikbol str., Bukhara 200114, Uzbekistan
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Annotatsiya
The present paper is devoted to construction of a natural L spline in the Hilbert space W2,σ(2,1)(0, 1). Here, the inter-polation spline is chosen so that its norm becomes minimum in this space and satisfies the interpolation conditions. This work is consecrated to constructing polynomial and exponential L-spline. Explicit formulas for the coefficients of interpolation L-spline in the W2,σ(2,1)(0, 1) space are obtained.
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