On selection of the best coefficients in interpolatory quadrature rules

2006 ◽  
Vol 182 (2) ◽  
pp. 1240-1246 ◽  
Author(s):  
S.M. Hashemiparast ◽  
M. Masjed-Jamei ◽  
Mehdi Dehghan
Keyword(s):  
Quadrature Rules ◽  
Interpolatory Quadrature ◽  
Selection Of

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

Filomat ◽  
2015 ◽  
Vol 29 (10) ◽  
pp. 2239-2255 ◽  
Author(s):  
Tatjana Tomovic ◽  
Marija Stanic
Keyword(s):  
Numerical Method ◽  
Trigonometric Polynomials ◽  
Quadrature Rules ◽  
Numerical Examples ◽  
Degree Of Exactness ◽  
Interpolatory Quadrature

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 ?-orthogonal trigonometric polynomials. We present a numerical method for construction of mentioned quadrature rules. Some numerical examples are also included.

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