A refinement of the Gr"{u}ss inequality and applications

P. Cerone; S. S. Dragomir

doi:10.5556/j.tkjm.38.2007.92

A refinement of the Gr"{u}ss inequality and applications

Authors

P. Cerone
S. S. Dragomir

DOI:

https://doi.org/10.5556/j.tkjm.38.2007.92

Abstract

A sharp refinement of the Gr"{u}ss inequality in the general setting of measurable spaces and abstract Lebesgue integrals is proven. Some consequential particular inequalities are mentioned.

Author Biographies

P. Cerone

School of Computer Science and Mathematics, Victoria University, PO Box 14428, MCMC 8001, Victoria, Australia.

S. S. Dragomir

School of Computer Science and Mathematics, Victoria University, MCMC 8001, Victoria, Australia.

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Published

2007-03-31

How to Cite

Cerone, P., & Dragomir, S. S. (2007). A refinement of the Gr"{u}ss inequality and applications. Tamkang Journal of Mathematics, 38(1), 37–49. https://doi.org/10.5556/j.tkjm.38.2007.92