Inspired by Clarkson's inequalities for L-p and continuing work from , this paper computes the optimal constant C in the weak parallelogram laws parallel to f + g parallel to(r )+ C parallel to f - g parallel to(r )= 2(r-1 )(parallel to f parallel to(r) + parallel to g parallel to(r)) for the L-p spaces, 1 < p < infinity.
Copyright © 2018 Element. Article first published online: October 2018.
The definitive version is available at: http://mia.ele-math.com/21-71/Optimal-weak-parallelogram-constants-for-Lp-spaces
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Cheng, Raymond, Javad Mashreghi, and William T. Ross. "Optimal Weak Parallelogram Constants for l-p Spaces." Mathematical Inequalities & Applications 21, no. 4 (2018): 1047-1058. https://doi.org/10.7153/mia-2018-21-71.
Cheng, Raymond; Mashreghi, Javad; and Ross, William T., "Optimal Weak Parallelogram Constants for L-p Spaces" (2018). Math and Computer Science Faculty Publications. 225.