On some matrix reverse Cauchy–Schwarz and Hölder inequalities
Sign Up to like & getrecommendations! Published in 2018 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2018.04.024
Abstract: Abstract In this paper, we present some eigenvalue inequalities related to the reverse Holder inequality involving positive linear maps, geometric means and doubly concave functions. Several relevant inequalities are considered as well. read more here.
Keywords: reverse cauchy; matrix reverse; lder inequalities; schwarz lder ... See more keywords
Extended Cauchy–Schwarz Inequality and Its Application for the Two-Class Fisher Discriminant Analysis
Sign Up to like & getrecommendations! Published in 2020 at "Studia Scientiarum Mathematicarum Hungarica"
DOI: 10.1556/012.2020.57.4.1474
Abstract: We present the sufficient condition for a classical two-class problem from Fisher discriminant analysis has a solution. Actually, the solution was presented up to our knowledge with a necessary condition only. We use an extended… read more here.
Keywords: schwarz inequality; two class; fisher discriminant; extended cauchy ... See more keywords
On Some Generalizations of Cauchy-Schwarz Inequalities and Their Applications
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15020304
Abstract: The aim of this paper is to provide new upper bounds of ω(T), which denotes the numerical radius of a bounded operator T on a Hilbert space (H,⟨·,·⟩). We show the Aczél inequality in terms… read more here.
Keywords: generalizations cauchy; numerical radius; cauchy schwarz; schwarz inequalities ... See more keywords
Some reverses of the Cauchy-Schwarz and triangle inequalities in 2-inner product spaces
Sign Up to like & getrecommendations! Published in 2017 at "Kragujevac journal of mathematics"
DOI: 10.5937/kgjmath1701081o
Abstract: In this paper, we give some reverses of the Cauchy-Schwarz inequality and triangle inequality in 2-inner product spaces. Applications for determinantal integral inequalities are also provided. read more here.
Keywords: triangle; inner product; reverses cauchy; product spaces ... See more keywords
Refinements of Cauchy-Schwarz norm inequality
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2019-13-77
Abstract: In this paper, we utilize the convexity of the function f (ν)= ∥ ∥ ∣ ∣AνXB1−ν ∣ ∣r ∥ ∥ ·∥∥∣∣A1−νXBν ∣r∥ and the Hermite-Hadamard inequality to obtain a family of new refinements of Cauchy-Schwarz… read more here.
Keywords: inequality; refinements cauchy; schwarz norm; cauchy schwarz ... See more keywords