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|Title:||Combined dynamic Grüss inequalities on time scales|
|Author:||Sidi Ammi, M.R.|
|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 ); 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.|
|Appears in Collections:||DMat - Artigos|
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