The weak n-inner product space
Classical Analysis and ODEs
2020-11-23 v2
Abstract
In this article we study a generalization of the n-inner product which we name weak n-inner product. As particular case we consider the n-iterated 2-inner product and we give its representation in terms of the standard k-inner products, k<= n, using the Dodgson's identity for determinants. Finally, we present several applications, including a brief characterization of a linear regression model for the random variables in discrete case and a generalization of the Chebyshev functional using the n-iterated 2-inner product.
Keywords
Cite
@article{arxiv.1904.09542,
title = {The weak n-inner product space},
author = {Nicusor Minculete and Radu Paltanea},
journal= {arXiv preprint arXiv:1904.09542},
year = {2020}
}