One of the most fundamental and widely used inequalities in mathematics is the celebrated Cauchy–Schwarz inequality, also known as the Cauchy–Bunyakovsky–Schwarz inequality. The elementary form of Cauchy–Schwarz inequality states that if (formula presented) and (formula presented) are real numbers, then (formula presented) Its general form in an inner-product space is (1.2 ). The Cauchy–Schwarz inequality was wonderfully refined in 1971 by Buzano [49].