Refinements of the generalized trapezoid inequality in terms of the cumulative variation and applications

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DOI:

https://doi.org/10.4067/S0719-06462015000200003

Abstract

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
  • S.S. Dragomir Mathematics, College of Engineering & Science Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia. School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa.
  • Pages: 31-48
  • Date Published: 2015-06-01
  • Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal

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Published

2015-06-01

How to Cite

[1]
S. Dragomir, “Refinements of the generalized trapezoid inequality in terms of the cumulative variation and applications”, CUBO, vol. 17, no. 2, pp. 31–48, Jun. 2015.

Issue

Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal

Section

Articles