Applications of an Ostrowski-type Inequality

作者：Gonska Heiner^*; Rasa Ioan; Rusu Maria Daniela

来源：Journal of Computational Analysis and Applications, 2012, 14(1): 19-31.

• Ostrowski-type inequality
• positive linear operators
• iterates
• rate of convergence

We extend an Ostrowski-type inequality established by the first author and A. Acu. This extension is used in order to investigate the limit of the iterates of some positive linear operators. The rate of convergence of the iterates is described in terms of (omega) over tilde, the least concave majorant of the first order modulus of continuity. The same (omega) over tilde is used in order to estimate the difference of some classical positive linear operators.

• 出版日期2012-1