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.
@article{1175,
title = {Refinements of the Generalized Trapezoid Inequality in Terms of the Cumulative Variation and Applications},
journal = {CUBO, A Mathematical Journal},
volume = {17},
year = {2015},
language = {en},
url = {http://dml.mathdoc.fr/item/1175}
}
Dragomir, S.S. Refinements of the Generalized Trapezoid Inequality in Terms of the Cumulative Variation and Applications. CUBO, A Mathematical Journal, Tome 17 (2015) 18 p. http://gdmltest.u-ga.fr/item/1175/