Norm inequalities via convex and log-convex functions
In this paper, we study the norm and skew angular distances in a normed space X, where
convex functions are used to obtain refinements and reverses of some outstanding results in …
convex functions are used to obtain refinements and reverses of some outstanding results in …
Characterizations of inner product spaces via angular distances and Cauchy–Schwarz inequality
M Krnić, N Minculete - Aequationes mathematicae, 2021 - Springer
We study some interesting characterizations of real inner product spaces expressed in terms
of angular distances. We first discuss the equivalence of characterizing an inner product …
of angular distances. We first discuss the equivalence of characterizing an inner product …
Bounds for the p-Angular Distance and Characterizations of Inner Product Spaces
M Krnić, N Minculete - Mediterranean journal of mathematics, 2021 - Springer
Based on a suitable improvement of a triangle inequality, we derive new mutual bounds for
p-angular distance α p [x, y]=‖‖ x‖ p-1 x-‖ y‖ p-1 y‖, in a normed linear space X. We …
p-angular distance α p [x, y]=‖‖ x‖ p-1 x-‖ y‖ p-1 y‖, in a normed linear space X. We …
Extensions of p-angular distance inequalities in normed spaces
J Rooin, S Rajabi, MS Moslehian - Ricerche di Matematica, 2021 - Springer
Abstract We generalize the Bourbaki, Dunkl–Williams, Hudzick–Landes, and Maligranda
inequalities in normed linear spaces for various p-angular distances. Then we obtain …
inequalities in normed linear spaces for various p-angular distances. Then we obtain …
Singer-Type Orthogonalities
We introduce a pair of new orthogonalities based on two modified angular distances in
normed linear spaces. We show that none of these two orthogonalities entails the other one …
normed linear spaces. We show that none of these two orthogonalities entails the other one …
[PDF][PDF] HABILITATION THESIS
PDN Minculete - unitbv.ro
(A) Abstract” All analysts spend half their time hunting through the literature for inequalities
which they want to use and cannot prove.”–GH Hardy In this habilitation thesis we have …
which they want to use and cannot prove.”–GH Hardy In this habilitation thesis we have …