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.
Computers and Mathematics with Applications
Anastassiou, G. (2011). Representations and Ostrowski type inequalities on time scales. Computers and Mathematics with Applications, 62 (10), 3933-3958. https://doi.org/10.1016/j.camwa.2011.09.046