Results 71 to 80 of about 5,545 (117)

Variational inclusions for contingent derivative of set-valued maps

, 2004
In this paper, we give two versions of Ky Fan's inequality for set-valued maps acting between normed vector spaces and we consider sufficient conditions to solve a variational inclusion problem concerning derivatives of set-valued maps.
Durea, M.
core   +1 more source

Urban Form and Environmental Characteristics as Drivers of Air Pollution Exposure Variability and Inequality in Fujian Province, China

GeoHealth, Volume 9, Issue 7, July 2025.
Abstract Air pollution, particularly fine particulate matter, poses significant health and environmental risks, with exposure levels exhibiting considerable spatial inequality. However, few studies have comprehensively examined how urban form and environmental factors influence air pollution exposure and its spatial inequality.
Chaohao Ling, Yiqi Zhang, Qian Shen, Ruohan Dai, Bangru Lou, Yiling Kang, Shaofu He   +6 more
wiley   +1 more source

A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications

, 1999
In this paper we point out a converse result of the celebrated Jensen inequality for differentiable convex mappings of several variables and apply it to counterpart well-known analytic inequalities. Applications to Shannon's and Rényi's entropy mappings
Dragomir, Sever S
core  

ORTHOGONAL TRACE-SUM MAXIMIZATION: APPLICATIONS, LOCAL ALGORITHMS, AND GLOBAL OPTIMALITY. [PDF]

SIAM J Matrix Anal Appl, 2021
Won JH, Zhou H, Lange K.
europepmc   +1 more source

Diagonal convexity conditions for problems in convex analysis and quasi-variational inequalities

, 1988
Many theorems in convex analysis and quasi-variational inequalities can be derived by using a class of weaker convexity (concavity) conditions which require a functional φ(x, y) to be quasi-convex or convex for diagonal entries of certain type.
Chen, Goong, Zhou, Jian Xin, Jian Xin Zhou, Goong Chen   +3 more
core   +1 more source

On Some Inequalities of Ky Fan and Wang-Wang

Journal of Mathematical Analysis and Applications, 1993
The main result of the paper states the following inequality: \[ H_ n\leq {n+\sum b_ i\over n+\sum 1/b_ i}\leq G_ n\leq {\sum b_ i/(1+ b_ i)\over \sum 1/(1+ b_ i)}\leq A_ n, \] where \(0< b_ i\leq 1\) and \(A_ n\), \(G_ n\), \(H_ n\) denote the arithmetic, geometric, and harmonic mean, respectively, of the numbers \(b_ 1,\dots,b_ n\).
openaire   +2 more sources

The inequalities of W. Sierpinski and Ky Fan

Journal of Mathematical Analysis and Applications, 1990
Durch ``einschieben'' einer Funktion zwischen den zwei Seiten bekannter Ungleichungen (die dann Werte oder Grenzwerte dieser Funktion sind), verschärfen und verallgemeinern die Verff. in verschiedenen Richtungen eine überraschend große Anzahl von Ungleichungen, z.B. die von Sierpiński und Ky Fan. Die Methode geht auf \textit{D. K. Callebaut} [J.
Alzer, Horst, Ando, Tsuyoshi, Nakamura, Yoshihiro   +2 more
openaire   +1 more source

Plenary Abstracts Session & Oral Presentations

HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source

Poster Sessions

HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source

Refinements of Ky Fan's eigenvalue inequality for simple Euclidean Jordan algebras by using gradients of K-increasing functions

Mathematical Inequalities & Applications, 2021
M. Niezgoda
semanticscholar   +1 more source