Title : ( Extension of Dunkl--Williams inequality and characterizations of inner product spaces )
Authors: Jamal Rooin , Setareh Rajabi , Mohammad Sal Moslehian ,
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Abstract
Given p; q 2 R, we generalize the classical Dunkl{Williams inequality for p-angular and q-angular distances in inner product spaces. We extend the Hile inequality for arbitrary p-angular and q-angular distances and study some geometric aspects of a generalization of Dunkl{ Williams inequality. Introducing power renements, we show signicant power renements of the generalized Dunkl{ Williams inequality under some mild conditions. Among other things, we give new characterizations of inner product spaces with regard to p-angular and q-angular distances.
Keywords
, Inner product space; Dunkl{Williams inequality; p, angular distance; orthogonality; characterization of inner product space
@article{paperid:1078712,
author = {Jamal Rooin and Setareh Rajabi and Sal Moslehian, Mohammad},
title = {Extension of Dunkl--Williams inequality and characterizations of inner product spaces},
journal = {Rocky Mountain Journal of Mathematics},
year = {2019},
volume = {49},
number = {8},
month = {December},
issn = {0035-7596},
pages = {2755--2777},
numpages = {22},
keywords = {Inner product space; Dunkl{Williams inequality; p-
angular distance; orthogonality; characterization of inner product space},
}
%0 Journal Article
%T Extension of Dunkl--Williams inequality and characterizations of inner product spaces
%A Jamal Rooin
%A Setareh Rajabi
%A Sal Moslehian, Mohammad
%J Rocky Mountain Journal of Mathematics
%@ 0035-7596
%D 2019
