Cezar Lupu, Tudorel Lupu
Abstract:
In this article we study some mean value results involving
linear integral operators on the space of continuous real-valued
functions defined on the compact interval [0,1]. The existence
of such points will rely on some classical theorems in real
analysis like Rolle, Flett and others. Our approach is rather
elementary and does not use advanced techniques from functional
analysis or nonlinear analysis.
Submitted June 18, 2009. Published September 24, 2009.
Math Subject Classifications: 26A24, 26A33, 26E20.
Key Words: Integral operators; mean value theorem.
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Cezar Lupu University of Bucharest, Faculty of Mathematics, Str. Academiei 14, 70109 Bucharest, Romania email: lupucezar@yahoo.com, lupucezar@gmail.com |
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Tudorel Lupu "Decebal" High School, Department of Mathematics Aleea Gradinitei 4, 900478 Constanta, Romania email: tudorellupu@yahoo.com, tudorellupu@gmail.com |
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