====== 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=====
  * [[https://www.mathsisfun.com/calculus/integration-introduction.html|Introduction to Integration]]

  * [[https://www.researchgate.net/publication/222875993_Applications_of_Ostrowski's_Inequality_to_the_Estimation_of_Error_Bounds_for_Some_Special_Means_and_for_Some_Numerical_Quadrature_Rules|Applications of Ostrowski's Inequality to the Estimation of Error Bounds for Some Special Means and for Some Numerical Quadrature Rules]]
 
  * [[https://www.hindawi.com/journals/ijanal/2016/3918483/|Straightforward Proofs of Ostrowski Inequality and Some Related Results]]
 

===== 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.