A generalization of the companion of Ostrowski-like inequality and applications

作者：Liu, Wenjun^*; Park, Jaekeun

来源：Applied Mathematics & Information Sciences, 2013, 7(1): 273-278.

DOI：10.12785/amis/070134

• Ostrowski-like type inequality
• twice differentiable mappings
• composite quadrature rule
• probability density function

By introducing a parameter, we establish in this paper a generalization of the companion of Ostrowski-like type integral inequality for mappings whose second derivatives belong to L-infinity-spaces. Our result in special cases not only recapture known results, but also give a smaller estimator than that of the known results. Some applications to composite quadrature rules in numerical integration and to probability density functions are also given.

• 出版日期2013-1
• 单位南京信息工程大学