Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/2837
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)
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