Results 131 to 140 of about 5,359,615 (162)

Schur-Convexity, Gamma Functions, and Moments

2008
The gamma function is a central function that arises in many contexts. A wide class of inequalities is obtained by showing that certain gamma functions are Schur-convex coupled with majorization of two vectors.
Albert W. Marshall, Ingram Olkin
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Schur Convexity of Functional Bonferroni Mean

Journal of Inequalities and Mathematical Analysis
In this paper, we introduce a functional extension of the classical Bonferroni mean. Using tools from majorization theory together with differential criteria for Schur convexity, we establish sufficient conditions under which the functional Bonferroni mean and the functional generalized Bonferroni harmonic mean are Schur convex, Schur concave, or Schur
Dong-Sheng Wang, Jing Zhang
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Functions Generating Schur-Convex Sums

1987
This paper provides a representation theorem for functions f with Schur-convex sums $$\sum\nolimits_1^n {f(x_{^i } )}$$ .
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A Problem Concerning Schur-Convex Functions

1983
There are several infinitesimal characterizations of convex functions. For example, a continuous function f is convex iff $${{\bar D}^2}f(t): = \mathop {\lim \;\sup }\limits_{h \to 0} \;[f(t + h) + f(t - h) - 2f(t)]/{h^2}$$ , is nonnegative. Question: Are there similar infinitesimal characterizations (of the if-and-only-if type) for Schur-convex
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Functions Generating Strongly Schur-Convex Sums

2012
The notion of strongly Schur-convex functions is introduced and functions generating strongly Schur-convex sums are investigated. The results presented are counterparts of the classical Hardy–Littlewood–Polya majorization theorem and the theorem of Ng characterizing functions generating Schur-convex sums.
Kazimierz Nikodem, Teresa Rajba, Szymon Wąsowicz   +2 more
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Schur-convex functions of the 2nd order on $\mathbb {R}^n$

St. Petersburg Mathematical Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Schur-convexity of Cebišev functional

2010
The Cebišev functional T(f ; g ; a ; b) is regarded as a function of two variables T(f ; g ; x ; y).The Schur-covexity of this function is considered. Some applications for the means are pointed out.
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4. Schur-convex functions and other symmetric function inequalities

2019
exaly   +2 more sources

3. Schur-convex functions and elementary symmetric function inequalities

2019
exaly   +2 more sources

On certain Schur-convex functions

Publicationes Mathematicae Debrecen, 2016
Pal Burai, Judit Mako
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