Quadrature rules with an even number of multiple nodes and a maximal trigonometric degree of exactness | Zendy

Tatjana V. Tomović | Zendy; Marija P. Stanić | Zendy

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Quadrature rules with an even number of multiple nodes and a maximal trigonometric degree of exactness

Author(s) -

Tatjana V. Tomović,

Marija P. Stanić

Publication year - 2015

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/fil1510239t

Subject(s) - mathematics , trigonometry , quadrature (astronomy) , clenshaw–curtis quadrature , trigonometric substitution , gauss–kronrod quadrature formula , gauss–jacobi quadrature , differentiation of trigonometric functions , degree (music) , trigonometric integral , numerical integration , pythagorean trigonometric identity , gaussian quadrature , trigonometric polynomial , mathematical analysis , nyström method , integral equation , polynomial , physics , electrical engineering , linear interpolation , acoustics , engineering , bicubic interpolation

This paper is devoted to the interpolatory quadrature rules with an even number of multiple nodes, which have the maximal trigonometric degree of exactness. For constructing of such quadrature rules we introduce and consider the so--called $s-$ and $\sigma-$orthogonal trigonometric polynomials. We present a numerical method for construction of mentioned quadrature rules. Some numerical examples are also included.

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