Borislav Bojanov

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The purpose of this paper is to show certain links between uni-variate interpolation by algebraic polynomials and the presentation of poly-harmonic functions. This allows us to construct cubature formulae for multi-variate functions having highest order of precision with respect to the class of polyharmonic functions. We obtain a Gauss type cubature formula(More)
For any given system of continuously differentiable functions {u k } 2n k=1 which constitute an Extended Tchebycheff system of order 2 on [a, b] we prove the existence and uniqueness of the Gaussian interval quadrature formula based on n weighted integrals over non-overlapping subin-tervals of [a, b] of preassigned lengths. This supplies an analogue of the(More)