A Weighted Ostrowski Type inequality for L$_{1}\left[ a,b\right] $ and applications
Abstract
The aim of this paper is to obtain some generalized weighted Ostrowski inequalities for differentiable mappings. Some well known inequalities can be derived as special cases of the inequalities obtained here. In addition, perturbed midpoint inequality and perturbed trapezoid inequality are also obtained. The inequalities obtained here have direct applications in Numerical Integration, Probability Theory, Information Theory and Integral Operator Theory. Some of these applications are discussed.
 Publication:

arXiv eprints
 Pub Date:
 January 2014
 DOI:
 10.48550/arXiv.1401.7007
 arXiv:
 arXiv:1401.7007
 Bibcode:
 2014arXiv1401.7007Q
 Keywords:

 Mathematics  Classical Analysis and ODEs
 EPrint:
 8 Pages