Daghestan Electronic Mathematical Reports: Issue 4 (2015)

Sobolev orthogonal polynomials, associated with the Chebyshev polynomials of the first kind

Authors: Sharapudinov Idris Idrisovich, Magomed-Kasumov Magomedrasul Grozbekovich, Magomedov Salikh Rasulovich

Discrete polynomials orthogonal with respect Sobolev-type inner product associated with Chebyshev polynomials orthogonal on a uniform grid

Author: Sharapudinov Timur Idrisovich

Splines on rational interpolants

Authors: Ramazanov Abdul-Rashid Kehrimanovich, Magomedova Vazipat Gusenovna

Some special series by general Laguerre polynomials and Fourier series by Laguerre polynomials, orthogonal in Sobolev sense

Author: Sharapudinov Idris Idrisovich

On the simultaneous approximation of functions and their derivatives by Chebyshev polynomials orthogonal on uniform grid

Authors: Sharapudinov Idris Idrisovich, Sharapudinov Timur Idrisovich