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

vol.17 issue2

An other uncertainty principle for the Hankel transform

On a Type of Volterra Integral Equation in the Space of Continuous Functions with Bounded Variation valued in Banach Spaces

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Cubo (Temuco)

On-line version ISSN 0719-0646

Abstract

DRAGOMIR, S.S. Refinements of the Generalized Trapezoid Inequality in Terms of the Cumulative Variation and Applications. Cubo [online]. 2015, vol.17, n.2, pp.31-48. ISSN 0719-0646. http://dx.doi.org/10.4067/S0719-06462015000200003.

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.

Keywords : Generalized trapezoid inequality; Functions of bounded variation; Cumulative variation; Selfadjoint operators.

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