Zeroes of generalized Fresnel complementary integral functions
AbstractTheoretical upper and lower bounds are established for zeroes of a parametric family of functions which are defined by integrals of the same type as the Fresnel complementary integral. Asymptotic properties for these bounds are obtained as well as monotony properties of the localization intervals. Given the value of the parameter an analytical-numerical procedure is deduced to enclose all zeros of a given function with an a priori error.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.
2016
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| Online Access: | http://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S1409-24332016000200321 |
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| Summary: | AbstractTheoretical upper and lower bounds are established for zeroes of a parametric family of functions which are defined by integrals of the same type as the Fresnel complementary integral. Asymptotic properties for these bounds are obtained as well as monotony properties of the localization intervals. Given the value of the parameter an analytical-numerical procedure is deduced to enclose all zeros of a given function with an a priori error. |
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