DOI
10.7153/mia-2018-21-71
Abstract
Inspired by Clarkson's inequalities for L-p and continuing work from [5], 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.
Document Type
Post-print Article
Publication Date
2018
Publisher Statement
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
Please note that downloads of the article are for private/personal use only.
Full citation:
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.
Recommended Citation
Cheng, Raymond; Mashreghi, Javad; and Ross, William T., "Optimal Weak Parallelogram Constants for L-p Spaces" (2018). Department of Math & Statistics Faculty Publications. 225.
https://scholarship.richmond.edu/mathcs-faculty-publications/225