TY - JOUR TI - Refined generalizations of the triangle inequality on banach spaces AU - Takahasi, S.-E. AU - Rassias, J.M. AU - Saitoh, S. AU - Takahashi, Y. JO - Mathematical Inequalities and Applications PY - 2010 VL - 13 TODO - 4 SP - 733-741 PB - Element D.O.O. SN - 1331-4343, 1848-9966 TODO - 10.7153/mia-13-52 TODO - null TODO - Let X be a complex Banach space and p a real number with p ≥ 1. We give a necessary and sufficient condition for complex numbers a, b and real numbers λ, μ and μ in order that the inequality [Equation presented] holds for every x, y ∈ X. ER -