Results 51 to 60 of about 177,016 (186)

Reverses of the Triangle Inequality in Banach Spaces [PDF]

, 2005
Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained.
Dragomir, Sever Silvestru
core   +4 more sources

The best constant for inequality involving the sum of the reciprocals and product of positive numbers with unit sum

Journal of Inequalities and Applications
In this paper, we study a special algebraic inequality containing a parameter, the sum of reciprocals and the product of positive real numbers whose sum is 1. Using a new optimization argument the best values of the parameter are determined.
Yagub N. Aliyev
doaj   +1 more source

The Proofs of Triangle Inequality Using Binomial Inequalities

European Journal of Pure and Applied Mathematics, 2018
In this paper, we introduce the different ways of proving the triangle inequality ku − vk ≤ kuk + kvk, in the Hilbert space. Thus, we prove this triangle inequality through the binomial inequality and also, prove it through the Euclidean norm. The first generalized procedure for proving the triangle inequality is feasible for any even positive ...
Barnes, Benedict, Owusu-Ansah, E. D. J., Amponsah, S. K., Adjei, I. A.   +3 more
openaire   +3 more sources

Global Exponential Stability of Commutative Quaternion-Valued Neural Networks With Time Varying Delays

IEEE Access, 2020
The global exponential stability of commutative quaternion-valued neural networks (CQVNNs) with time varying delays is investigated in this paper. Considering that the Schwartz triangle inequality is not satisfied in the commutative quaternion field, the
Dongyuan Lin, Xiaofeng Chen, Yannan Xia, Bing Li   +3 more
doaj   +1 more source

Innovation and Income Inequality: Exploring the Role of the Golden Triangle

East Asian Economic Review
This study explores the complex relationship between innovation and income inequality in 29 Asian economies from 2013 to 2022, emphasizing the mediating role of the Golden Triangle—comprising the state, civil society, and the market system.
Hassan Daliri
doaj   +1 more source

The Complete Strong Version of Blundon’s Inequality

Axioms
In this paper we present some key results related to Blundon’s inequality, its long history, geometric interpretations and implications, as well as highlight some connections to results in other fields of mathematics.
Dorin Andrica, Ovidiu Bagdasar, Cătălin Barbu, Laurian-Ioan Pişcoran   +3 more
doaj   +1 more source

A strong triangle inequality in hyperbolic geometry [PDF]

, 2015
For a triangle in the hyperbolic plane, let $\alpha,\beta,\gamma$ denote the angles opposite the sides $a,b,c$, respectively. Also, let $h$ be the height of the altitude to side $c$.
Biró, Csaba, Powers, Robert C.
core   +1 more source

Geometric extension of Clauser–Horne inequality to more qubits

New Journal of Physics, 2018
We propose a geometric multiparty extension of Clauser–Horne (CH) inequality. The standard CH inequality can be shown to be an implication of the fact that statistical separation between two events, A and B , defined as $P(A\oplus B)$ , where $A\oplus B=(
Arijit Dutta, Tschang-Uh Nahm, Jinhyoung Lee, Marek Żukowski   +3 more
doaj   +1 more source

On Reverses of Some Inequalities in n-Inner Product Spaces

International Journal of Mathematics and Mathematical Sciences, 2010
We present some new reverses of Cauchy-Bunyakovsky-Schwarz inequality, and Triangle and Boas-Bellman Type inequalities in n-inner product spaces. The results obtained generalize the results of Dragomir (2003–2005) in n-inner product spaces.
Renu Chugh, Sushma Lather
doaj   +1 more source