Representations and Ostrowski type inequalities on time scales


Here, we give univariate and multivariate representations of the Montgomery type for hybrid functions on time scales. Based on these, we establish univariate and multivariate Ostrowski type inequalities on time scales domains. These compare the average of a function to its values. The estimates involve the higher order delta and nabla derivatives and partial derivatives. We finish with applications on the time scales R and Z. © 2011 Elsevier Ltd. All rights reserved.

Publication Title

Computers and Mathematics with Applications