Finite Field Massera-Schaffer-Maligranda-Pecaric-Rajic Inequality

Massera and Schaffer [Ann. Math. (2), 1958] established a breakthrough upper bound for the Clarkson angle between two nonzero vectors in a normed linear space. Maligranda [Am. Math. Mon., 2006] improved Massera-Schaffer upper bound for the Clarkson angle. Pecaric and Rajic [Math. Inequal. Appl., 2007] extended Maligranda’s inequality to finitely many nonzero vectors. We derive a finite field version of Massera-Schaffer-Maligranda-Pecaric-Rajic inequality.