TY - JOUR
TI - Characterization of a generalized triangle inequality in normed spaces
AU - Dadipour, F.
AU - Moslehian, M.S.
AU - Rassias, J.M.
AU - Takahasi, S.-E.
JO - Nonlinear Analysis, Theory, Methods and Applications
PY - 2012
VL - 75
TODO - 2
SP - 735-741
PB - 
SN - null
TODO - 10.1016/j.na.2011.09.004
TODO - N-tuples;  Norm inequality;  Normed linear space;  Normed spaces;  Triangle inequality, Banach spaces
TODO - For a normed linear space (X,∥ · ∥) and p>0 we characterize all n-tuples (μ1,⋯,μn) ∈ℝn for which the generalized triangle inequality of the second type ∥ x1+⋯+ xn∥p≤ ∥ x1∥p/μ1+⋯+∥ x n∥p/μn holds for any X 1,⋯,Xn∈X. We also characterize (μ1,⋯,μn)∈ℝn for which the reverse of the inequality above holds. © 2011 Elsevier Ltd. All rights reserved.
ER -