Driver, Kathy (Cathryn Helena Stanford)Jordaan, Kerstin Heidrun2013-04-162014-01-312013Driver, K & Jordaan, K 2013, 'Inequalities for extreme zeros of some classical orthogonal and q-orthogonal polynomials', Mathematical Modelling of Natural Phenomena, vol. 8, no. 1, pp. 48-59.0973-5348 (print)1760-6101 (online)10.1051/mmnp/20138103http://hdl.handle.net/2263/21288Let {pn}1 n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn that have been used to derive upper and lower bounds for the largest and smallest zero of pn. Bounds for the extreme zeros of Laguerre, Jacobi and Gegenbauer polynomials that have been obtained using different approaches are numerically compared and new bounds for extreme zeros of q-Laguerre and little q-Jacobi polynomials are proved.en© EDP Sciences, 2013Bounds for extreme zeros of orthogonal and q-orthogonal polyno-mialsCommon zeros of orthogonal polynomialsMonotonicityConvexityInterlacing of zerosSeparation of zerosInequalities for zerosArticle