Results 11 to 20 of about 5,359,615 (162)
Schur-convexity of the complete elementary symmetric function [PDF]
Journal of Inequalities and Applications, 2006 We prove that the complete elementary symmetric function and the function are Schur-convex functions in , where are nonnegative integers, , . For which, some inequalities are established by use of the theory of majorization. A problem given by K.
Guan Kaizhong
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Notes on the Schur-convexity of the Extended Mean Values [PDF]
, 2002 In this article, the Schur-convexities of the weighted arithmetic mean of function and the extended mean values are proved. Moreover, some inequalities involving the arithmetic mean, the harmonic mean, the logarithmic mean, and comparison between the ...
Qi, Feng +3 more
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Schur-convexity of the Extended Mean Values [PDF]
, 2001 In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequality between the logarithmic mean values and the identity (exponential) mean values is ...
Qi, Feng
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The Extended Mean Values: Definition, Properties, Monotonicities, Comparison, Convexities, Generalizations, and Applications [PDF]
, 2001 The extended mean values E(r, s; x, y) play an important role in theory of mean values and theory of inequalities, and even in the whole mathematics, since many norms in mathematics are always means.
Qi, Feng
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Schur-Convexity of Čebišev Functional [PDF]
Mathematical Inequalities & Applications, 2011 In this paper the Čebišev functional T ( f, g ; a, b) is regarded as a function of two variables T ( f, g ; x, y), (x, y) ∈ [a, b]× [a, b]. The property of Schur-covexity (Schur-concavity) of this function is considered. Some applications for the means are pointed out.
Čuljak, Vera, Pečarić, Josip
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On Schur Convexity of Some Symmetric Functions [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chu Yu-Ming, Xia Wei-Feng
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Schur Convexity and Inequalities for a Multivariate Symmetric Function [PDF]
Journal of Function Spaces, 2020 In the article, we provide the Schur, Schur multiplicative, and Schur harmonic convexities properties for the symmetry function Fnx,r=Fnx1,x2,⋯,xn;r=∏1≤i1<i2<⋯<ir≤n ∑j=1r xij/1−xij1/r on 0,1n and find several new analytical inequalities by use of the majorization theory, where x=x1,⋯,xn∈0,1n, r=1,2,⋯,n and i1,i2,⋯,in are positive integers.
Ming-Bao Sun +3 more
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Schur-Convexity of Averages of Convex Functions [PDF]
Journal of Inequalities and Applications, 2011 The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results. First, Schur-convexity of the generalized integral and weighted integral quasi-arithmetic mean is studied.
Franjić Iva +3 more
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Schur Convexity for a Class of Symmetric Functions [PDF]
Journal of Inequalities and Applications, 2011 The Schur-convex function was introduced by I. Schur in 1923, and it has many important applications in analytic inequalities, generalized means, statistics experiment, chart and matrix, combinatorial optimization, reliability, information security, random sorting, etc.
Shuhong Wang, Tian-Yu Zhang, Bo-Yan Xi
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Machines, 2023 This paper discusses an observer-based control problem for uncertain Takagi–Sugeno Fuzzy Singular Systems (T-SFSS) subject to passivity performance constraints. Through the Parallel Distributed Compensation (PDC) approach and the Proportional Derivative (
Wen-Jer Chang +3 more
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