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Integral Inequalities: Course Outline (MAT-636)

In this note, we establish some new integral inequalities by using analytic and elementary methods

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Course Outline

Some quadrature rules and their applications. L1 , Lp  and L spaces. Ostrowski inequality in L1 , Lp  and L spaces and applications. Gruess inequality, its variants and applications. Ostrowski-Gruess inequalities, their conseqwuences and applications. Perturbed results for Ostrowski and Ostrowski-Gruess type inequalities. Inequalities for convex functions. Hadamard’s Inequality. Hadamard’s Inequality for convex functions and applications.

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