@article{Milovanović_2015, title={Weighted quadrature formulas for semi-infinite range integrals}, volume={44}, url={https://ictp.acad.ro/jnaat/journal/article/view/2015-vol44-no1-art6}, DOI={10.33993/jnaat441-1063}, abstractNote={<p>Weighted quadrature formulas on the half line \((a,+\infty)\), \(a>0\), for non-exponentially decreasing integrands are developed. Such \(n\)-point quadrature rules are exact for all functions of the form \(x\mapsto x^{-2}P(x^{-1})\), where \(P\) is an arbitrary algebraic polynomial of degree at most \(2n-1\). In particular, quadrature formulas with respect to the weight function \(x\mapsto w(x)=x^\beta\log^m x\) (\(0\le \beta<1\), \(m\in \mathbb{N}_0\)) are considered and several numerical examples are included.</p>}, number={1}, journal={J. Numer. Anal. Approx. Theory}, author={Milovanović, Gradimir V.}, year={2015}, month={Dec.}, pages={69–80} }