Title : ( Extensions of p-angular distance inequalities in normed spaces )
Authors: Jamal Rooin , Setareh Rajabi , Mohammad Sal Moslehian ,
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Abstract
We generalize the Bourbaki, Dunkl–Williams, Hudzick–Landes, and Maligranda2 inequalities in normed linear spaces for various p-angular distances. Then we obtain3 several equality conditions of these generalized inequalities, mainly, in strictly con-4 vex spaces. In addition, corresponding to some p-angular distance, we compare the5 achieved upper bounds with each other. Furthermore, we present several examples and6 counterexamples illustrate our results.
Keywords
, p-Angular distance · Normed linear space · Strictly convex space, Dunkl–Williams inequality
@article{paperid:1086873,
author = {Jamal Rooin and Setareh Rajabi and Sal Moslehian, Mohammad},
title = {Extensions of p-angular distance inequalities in normed spaces},
journal = {Ricerche di Matematica},
year = {2021},
volume = {73},
number = {2},
month = {September},
issn = {0035-5038},
pages = {989--1015},
numpages = {26},
keywords = {p-Angular distance · Normed linear space · Strictly convex space; Dunkl–Williams inequality},
}
%0 Journal Article
%T Extensions of p-angular distance inequalities in normed spaces
%A Jamal Rooin
%A Setareh Rajabi
%A Sal Moslehian, Mohammad
%J Ricerche di Matematica
%@ 0035-5038
%D 2021
