Results 31 to 40 of about 50,520 (161)
Schur-Convexity and Schur-Geometrically Concavity of Gini Mean
, 2007 The monotonicity and the Schur-convexity with parameters (s, t) in R² for fixed (x, y) and the Schur-convexity and the Schur-geometrically convexity with variables (x, y) in R²₊₊ for fixed (s, t) of Gini mean G(r, s; x, y) are discussed.
Shi, Huan-Nan
core +6 more sources
The relationship between r-convexity and Schur-convexity and its application
Journal of Mathematical Inequalities, 2023 Summary: In this paper, the relationship between \(r\)-convexity and Schur-convexity is investigated first. Moreover, the \(r\)-convexity and Schur-convexity of a class of functions are studied. As applications, some new inequalities on Minkowski's inequality are established.
Zhang, Tao +3 more
openaire +2 more sources
Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional
Journal of Numerical Analysis and Approximation Theory, 2013 In this paper, we discuss the Schur convexity, Schur geometrical convexity and Schur harmonic convexity of the weighted arithmetic integral mean and Chebyshev functional.
Long Bo-Yong +2 more
doaj +2 more sources
Shannon Type Inequalities for Kapur’s Entropy
Mathematics, 2018 In the paper, by methods of the theory of majorization, the authors establish the Schur m-convexity and Shannon type inequalities for Kapur’s entropy.
Bo-Yan Xi +4 more
doaj +1 more source
Operator (p, η)-Convexity and Some Classical Inequalities
Journal of Mathematics, 2020 In this paper, we will introduce the definition of operator p,η-convex functions, we will derive some basic properties for operator p,η-convex function, and also check the conditions under which operations’ function preserves the operator p,η-convexity ...
Chuanjun Zhang +4 more
doaj +1 more source
The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions
Journal of Function Spaces, 2018 We investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result.
Ming-bao Sun +3 more
doaj +1 more source
Convexity of tableau sets for type A Demazure characters (key polynomials), parabolic Catalan numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 This is the first of three papers that develop structures which are counted by a "parabolic" generalization of Catalan numbers. Fix a subset R of {1,..,n-1}. Consider the ordered partitions of {1,..,n} whose block sizes are determined by R. These are the
Robert A. Proctor, Matthew J. Willis
doaj +1 more source
The Schur Harmonic Convexity of the Hamy Symmetric Function and Its Applications
Journal of Inequalities and Applications, 2009 We prove that the Hamy symmetric function Fn(x,r)=∑1≤i1<i2<⋯<ir≤n(∏j=1rxij)1/r is Schur harmonic convex for x∈R+n.
Yuming Chu, Yupei Lv
doaj +2 more sources
High‐Order Sliding‐Mode control for MIMO Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
wiley +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The safety verification of neural network (NN) controllers operating in uncertain environments characterized by unmodeled dynamics, nonlinearities, and time delays remains a fundamental challenge in robust control analysis. This article introduces a novel method, termed Keep‐Close, for analyzing the performance and robustness of uncertain ...
Abdelhafid Zenati, Nabil Aouf
wiley +1 more source