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Construction of natural L spline in W2,σ(2,1) space

Samandar BabaevBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanNurali OlimovBukhara State University, 11, M.Ikbol str., Bukhara 200114, 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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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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