Abstract

This chapter discusses integral inequalities. It presents the properties of integrals and integral inequalities and two mean value theorems and explains the differentiation of definite integral containing a parameter with the use of certain equations in cases where limits are finite and infinite. It further describes the Cauchy–Schwarz–Buniakowsky inequality for integrals, Holder's inequality for integrals, Minkowski's inequality for integrals, Chebyshev's inequality for integrals, Young's inequality for integrals, Steffensen's inequality for integrals, and Ostrowski's inequality for integrals.

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