Refinements of the Generalized Trapezoid Inequality in Terms of the Cumulative Variation and Applications

Refinements of the generalized trapezoid inequality for functions of bounded variation in terms of the cumulative variation function are given. Applications for selfadjoint operators on complex Hilbert spaces are also provided.

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Detalles Bibliográficos
Autor principal: Dragomir,S.S
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200003
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Sumario:Refinements of the generalized trapezoid inequality for functions of bounded variation in terms of the cumulative variation function are given. Applications for selfadjoint operators on complex Hilbert spaces are also provided.