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Location of the zeros of certain parametric families of functions of generalized Fresnel integral type
dc.creator | Lobo Segura, Jaime | |
dc.creator | Villalobos Arias, Mario Alberto | |
dc.date.accessioned | 2019-08-20T21:11:33Z | |
dc.date.available | 2019-08-20T21:11:33Z | |
dc.date.issued | 2019 | |
dc.identifier.uri | https://hdl.handle.net/10669/78901 | |
dc.description.abstract | In this paper, two parametric families of functions, the so-called Complementary Fresnel Integral and the Lommel type, which are of generalized Fresnel integral type, are considered. We review the problems of existence and uniqueness of their zeros in certain determined intervals, called location intervals, which improve previous results of other authors. For the approximation error obtained, bounds, monotonicity as well as the asymptotic behavior are analyzed. The study uses results from the theory of ?xed point of real functions, introducing the concept of ??xed point sequential problem? (FPSP) and the properties of certain special functions. | es_ES |
dc.language.iso | en_US | es_ES |
dc.rights | CC0 1.0 Universal | * |
dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
dc.subject | zeros | es_ES |
dc.subject | parametric families of functions | es_ES |
dc.subject | generalized Fresnel integral type | es_ES |
dc.title | Location of the zeros of certain parametric families of functions of generalized Fresnel integral type | es_ES |
dc.type | artículo preliminar | |
dc.description.procedence | UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemáticas Puras y Aplicadas (CIMPA) | es_ES |
dc.identifier.codproyecto | 821-B8-A32 |
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