# MTH611: Integral Inequalities (Fall 2019)

This course is offered to students of MS(Mathematics) at COMSATS University Islamabad. This is a three credit hour course.

## Contents

Some Quadrature rules and their applications Ostrowski Inequality in L1-, Lp- and L∞ spaces and applications Grüss Inequality, its variants and applications Ostrowski- Grüss inequalities, their consequences and applications Purturbed results for Ostrowski and Ostrowski- Grüss type inequalities Inequalities for convex functions Hadmard’s Inequality Hadmard’s Inequality for convex functions and applications.

## Notions & Sample Questions

- Partition of closed interval
- Bounded functions
- Upper Sum
- Lower Sum
- Prove that upper and lower sum are defined?

## Schedule

- Monday: 1530-1700 at CR-IV
- Tuesday: 1830-2000 at CR-IV

## Online Resources

## Recommended Books

- Ostrowski Type Inequalities and Applications in Numerical Integration By S.S. Drangomir and Th. M Rassias, Kluwer Academic Publishers, 2002.
- A Treatise on Gruss inequality by A.M. Fink, Kluwer Academic Publisher 1999.