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Title: Combined dynamic Grüss inequalities on time scales
Author: Sidi Ammi, M.R.
Torres, D.F.M.
Issue Date: 2009
Publisher: Springer Verlag
Abstract: We prove a more general version of the Grüss inequality by using the recent theory of combined dynamic derivatives on time scales and the more general notions of diamond-α derivative and integral. For the particular case where α = 1, one obtains the delta-integral Grüss inequality on time scales in (see M. Bohner and T. Matthews [5]); for α = 0 a nabla-integral Grüss inequality is derived. If we further restrict ourselves by fixing the time scale to the real (or integer) numbers, then the standard continuous (discrete) inequalities are obtained. © 2009 Springer Science+Business Media, Inc.
Peer review: yes
ISSN: 1072-3374
Appears in Collections:DMat - Artigos

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