Inner Product In Probabilistic Normed Space

Author(s):

S. Saiedinezhad , M. B. Ghaemi

Abstract:
In this paper we first define the probabilistic inner product space and after that we research the main inequality of them named Cauchy-Schwarz inequality and so represent the perfect definition of PIP space with considering the probabilistic Cauchy-Schwarz inequality and finally obtain the Probabilistic Pythagorean Law.
Language:
Persian
Published:
Journal of Science, Volume:22 Issue: 2, 2010
Page:
30
https://www.magiran.com/p740837