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| Title: | A mean value for pairs of integrals | Authors: | Mingarelli, Angelo B. Pacheco Castelao, José Miguel Plaza, Ángel |
UNESCO Clasification: | 120605 Ecuaciones integrales | Keywords: | Mean value Weighted integrals Integrals |
Issue Date: | 2009 | Journal: | Acta Mathematica Universitatis Comenianae | Abstract: | Se prueba que para dos funciones continuas reales, una determinada ecuación posee solución única. Se presenta también una generalización a integrales con peso. We show that for any two continuous real valued functions f, g on [0, 1], the problemintegral(1)(0) f(x) dx . integral(c)(0) w(x) g(x) dx = integral(1)(0) g(x) dx . integral(c)(0) w(x) f(x) dx,always has at least one solution c is an element of(0, 1), for a general class of weight-functions. Some applications are given. |
URI: | http://hdl.handle.net/10553/2837 | ISSN: | 0231-6986 | Source: | Acta Mathematica Universitatis Comenianae [ISSN 0231-6986], v. 78 (1), p. 65-70, (2009) |
| Appears in Collections: | Artículos |
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