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.

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.

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

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

• Introduction to Integration

• Applications of Ostrowski's Inequality to the Estimation of Error Bounds for Some Special Means and for Some Numerical Quadrature Rules

• Straightforward Proofs of Ostrowski Inequality and Some Related Results

• 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.