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A certain class of quadratures with even Tchebychev weights Cover

Abstract

We are considering the quadrature formulas of “practical type” (with five knots) for approximate computation of integral [xxx] where w(·) denotes (even) Tchebychev weight function. We prove that algebraic degree of exactness of those formulas can not be greater than five. We also determined some admissible nodes and compared proposed formula with some other quadrature formulas.

DOI: https://doi.org/10.2478/v10309-012-0030-7 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 447 - 458
Published on: May 17, 2013
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year

© 2013 Zlatko Udovičić, Mirna Udovičić, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.