Geodesic
Discrete polynomials orthogonal with respect Sobolev-type inner product associated with Chebyshev polynomials orthogonal on a uniform grid
Daghestan Electronic Mathematical Reports, Tome 4 (2015), pp. 15-20

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In current paper we consider new polynomials, generated by orthogonal on uniform grid Chebyshev polynomials. Newly introduced polynomials are themselves orthogonal with respect to the Sobolev-type inner product. The explicit form of these polynomials, convenient to study their asymptotic properties, is obtained.
Keywords: orthogonal polynomials, Sobolev-type orthogonal polynomials, Chebyshev polynomials. 
@article{DEMR_2015_4_a1,
     author = {T. I. Sharapudinov},
     title = {Discrete polynomials orthogonal with respect {Sobolev-type} inner product associated with {Chebyshev} polynomials orthogonal on a uniform grid},
     journal = {Daghestan Electronic Mathematical Reports},
     pages = {15--20},
     publisher = {mathdoc},
     volume = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DEMR_2015_4_a1/}
}
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T. I. Sharapudinov. Discrete polynomials orthogonal with respect Sobolev-type inner product associated with Chebyshev polynomials orthogonal on a uniform grid. Daghestan Electronic Mathematical Reports, Tome 4 (2015), pp. 15-20. http://geodesic.mathdoc.fr/item/DEMR_2015_4_a1/