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Finite Field Massera-Schaffer-Maligranda-Pecaric-Rajic Inequality
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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.
Title: Finite Field Massera-Schaffer-Maligranda-Pecaric-Rajic Inequality
Description:
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.
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