Diamond-alpha Gruess type inequalities on time scales Online publication date: Sat, 24-Jan-2015
by Martin Bohner, Thomas Matthews, Adnan Tuna
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 3, No. 1/2, 2011
Abstract: In this paper, we study a more general version of Gruss type inequalities on time scales by using the recent theory of combined dynamic derivatives on time scales. In the case α = 1, we obtain delta-integral Gruss type inequalities on time scales. For α = 0, we obtain nabla-integral Gruss type inequalities. We supply numerous examples throughout.
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