Müntz-type theorem on the segments emerging from the origin

• Autores: Zhiqiang Gao, Guantie Deng
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 151, Nº 2, 2008, págs. 181-185
• Idioma: inglés
• DOI: 10.1016/j.jat.2007.09.008
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• Resumen

  • A necessary and sufficient condition is obtained for the linear span of a system of monomials {z?:??} to be dense in the space of all continuous functions defined on the line segments emerging from the origin, where ? is a set of nonnegative integers. The result is a generalization of the Müntz theorem to the segments emerging from the origin and an extension of the Mergelyan theorem to lacunary polynomials.