Atribución-NoComercial 4.0 InternacionalPijeira, HéctorQuintana, YamiletUrbina, Wilfredo2019-06-282019-06-282001https://repositorio.unal.edu.co/handle/unal/43779In this article we consider the Sobolev orthogonal polynomials associated to the Jacobi's measure on [-1, 1]. It is proven that for the class of monic Jacobi-Sobolev orthogonal polynomials, the smallest closed interval that contains its real zeros is [-√(1+2C, √ 1+2C] with C a constant explicitly determined. The asymptotic distribution of those zeros is studied and also we analyze the asymptotic comparative behavior between the sequence of monic Jacobi-Sobolev orthogonal polynomials and the sequence of monic Jacobi ortogonal polynomials under certain restrictions.application/pdfspaDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/Artículo de revistahttp://bdigital.unal.edu.co/33877/info:eu-repo/semantics/openAccessorthogonal polynomialsasymptotic behaviordistribution of zeros