Results 121 to 130 of about 5,359,615 (162)
Applications of Nature-Inspired Water Cycle Algorithm in Antenna Design and Array Synthesis. [PDF]
Wei Y +5 more
europepmc +1 more source
A Two-Stage Framework for Sensor Selection and Geolocation for eVTOL Emergency Localization Using HF Skywaves. [PDF]
Liu X, Ai H, Xu C, Chen Z, Li Z.
europepmc +1 more source
The Schur-convexity of the mean of a convex function [PDF]
The authors establish the Schur-convexity at the upper and lower limits of the integral for the mean of a convex function. Furthermore, a new proof of the inequality \[ f\bigg(\frac{a+b}{2}\bigg)=H(0) \leq H(t) \leq H(1)= \frac1{b-a}\int^ b_ a f(x)\,dx \] obtained by \textit{S. S. Dragomir} [J. Math. Anal. Appl. 167, No. 1, 49--56 (1992; Zbl 0758.26014)
Huan-nan Shi
exaly +4 more sources
Characterization of Inner Product Spaces by Strongly Schur-Convex Functions [PDF]
AbstractInvolving the notion of strongly Schur-convex functions we give a new characterization of inner product spaces among norm spaces. We also present a representation theorem for functions which generate strongly Schur-convex sums.
Mirosław Adamek
exaly +2 more sources
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Schur convexity for some differences of convex functions
Rocky Mountain Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Safaei, Nozar, Barani, Ali
exaly +3 more sources
2010
For any given partial ordering \(\preceq\)of a setX, real-valued functionsf1 defined onXwhich satisfyf(x)= f(y) wheneverx_yare var- 2 iously referred to as “monotonic,” “isotonic,” or “order-preserving.” 3 For the ordering of majorization, the order-preserving functions were 4 first systematically studied by I. Schur (1923).
Albert W. Marshall +2 more
openaire +1 more source
For any given partial ordering \(\preceq\)of a setX, real-valued functionsf1 defined onXwhich satisfyf(x)= f(y) wheneverx_yare var- 2 iously referred to as “monotonic,” “isotonic,” or “order-preserving.” 3 For the ordering of majorization, the order-preserving functions were 4 first systematically studied by I. Schur (1923).
Albert W. Marshall +2 more
openaire +1 more source
SCHUR CONVEX FUNCTIONALS: FATOU PROPERTY AND REPRESENTATION
Mathematical Finance, 2010The Fatou property for every Schur convex lower semicontinuous (l.s.c.) functional on a general probability space is established. As a result, the existing quantile representations for Schur convex l.s.c. positively homogeneous convex functionals, established on for either p= 1 or p=∞ and with the requirement of the Fatou property, are generalized for
Grechuk, Bogdan, Zabarankin, Michael
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Partition-Optimization with Schur Convex Sum Objective Functions
SIAM Journal on Discrete Mathematics, 2004Summary: We study optimization problems over partitions of the finite set \(N = {1,\dots, n}\), where each element \(i\) in the partitioned set \(N\) is associated with a real number \(\theta^i\) and the objective associated with a partition \(\pi=(\pi_, \ldots, \pi_p)\) has the form \(F(\pi)=f(\theta_{\pi})\), where \( \theta_{\pi} = (\sum_{i\in{\pi_1}
Frank Kwang-Ming Hwang +1 more
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Schur convexity for a class of symmetric functions
Science China Mathematics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chu, Yuming, Xia, Weifeng, Zhao, Tiehong
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Schur-Convex Functions on $$\ell ^p$$ Spaces and Applications
Results in Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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