A trigonometric orthogonality with respect to a nonnegative Borel measure | Zendy

Gradimir V. Milovanović | Zendy; Aleksandra Cvetković | Zendy; Marija P. Stanić | Zendy

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A trigonometric orthogonality with respect to a nonnegative Borel measure

Author(s) -

Gradimir V. Milovanović,

Aleksandra Cvetković,

Marija P. Stanić

Publication year - 2012

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1204689m

Subject(s) - mathematics , orthogonality , borel measure , measure (data warehouse) , integer (computer science) , orthogonal polynomials , trigonometric functions , degree (music) , pure mathematics , algebraic number , trigonometry , trigonometric integral , discrete mathematics , mathematical analysis , probability measure , physics , geometry , database , computer science , acoustics , programming language

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 semi- integer degree. Also, we consider the Christoffel function, and prove that it satisfies extremal property analogous with the algebraic case.

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