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Title: A trigonometric orthogonality with respect to a nonnegative Borel measure
Authors: Milovanovic, Gradimir
Cvetkovic, Aleksandar
Stanić, Marija
Issue Date: 2012
Abstract: In this paper we consider trigonometric polynomials of semi-integer degree orthogonal with respect to a linear functional, defined by a nonnegative Borel measure. By using a suitable vector form we consider the corresponding Fourier sums and reproducing kernels for trigonometric polynomials of semiinteger degree. Also, we consider the Christoffel function, and prove that it satisfies extremal property analogous with the algebraic case.
Type: article
DOI: 10.2298/FIL1204689M
ISSN: 0354-5180
SCOPUS: 2-s2.0-84867583604
Appears in Collections:Faculty of Science, Kragujevac

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