engleski

Note on an Iyengar Type Inequality

Using Hayashi's inequality, an Iyengar type inequality for functions with bounded second derivative is obtained. This result improves a similar result from [N.Elezović, J.Pečarić, Steffensen's inequality and estimates of error in trapezoidal rule, Appl.Math.Lett. 11(6) (1998) 63-69] and, for some classes of functions, the result from [X.L.Cheng, The Iyengar type inequality, Appl.Math.Lett. 14 (2001) 975-978].

Iyengar's inequality; Steffensen's inequality; bounded second derivatives; perturbed trapezoidal rule

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