<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

A certain class of quadratures with even Tchebychev weights

Faculty of Sciences, Mathematics Department Zmaja od Bosne 35, 71000 Sarajevo, Bosnia and Herzegovina

Faculty of Sciences, Mathematics Department Univerzitetska 4, 75000 Tuzla, Bosnia and Herzegovina

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"A certain class of quadratures with even Tchebychev weights"}

We are considering the quadrature formulas of “practical type” (with five knots) for approximate computation of integral [xxx] where w(·) denotes (even)...

A certain class of quadratures with even Tchebychev weights

Publié en ligne: 17 mai 2013

Pages: 447 - 458

DOI: https://doi.org/10.2478/v10309-012-0030-7

Mots clés
practical quadratures, Tchebyshev weights

This content is open access.

A certain class of quadratures with even Tchebychev weights

Publié en ligne: 17 mai 2013

Pages: 447 - 458

DOI: https://doi.org/10.2478/v10309-012-0030-7

Mots cléspractical quadratures, Tchebyshev weights

This content is open access.

Mots clés
practical quadratures, Tchebyshev weights