The Iyengar-type inequality

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. Elezovi´c, J. Pečari´c, Steffensen's inequality and estimates of error in trapezoidal rule, Appl. In 1938 Iyengar proved the following inequality in [1]: Theorem 1. Let function f be differentiable on [a, b] and | f (x)| ≤ M. Then 1 b − ...

On an Iyengar-type inequality involving quadratures in n knots

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t In this short note, we give an Iyengar-type inequality involving quadratures in n knots, where n is an arbit...

The Brunn-Minkowski-Type Inequality

Some New Iyengar Type Inequalities

Some new Iyengar type inequalities for an integral are obtained by using the generalised Taylor formula with integral remainder.

the brunn-minkowski-type inequality