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Schur Convexity of Complementary Geometric Mean

Tuijin Jishu/Journal of Propulsion Technology, 2023
In this paper, the generalized forms of complementary geometric mean are introduced. Further, studied the various properties like homogeneous, isotone and convexity.Also, discussed theoscillatory mean involving complementary geometric and arithmetic means, various types of Schur convexities results. 2020 Mathematics Subject Classification: 26D15.
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Schur convexity for a class of symmetric functions

Science China Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chu, Yuming, Xia, Weifeng, Zhao, Tiehong
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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 the means,

2010
The property of Schur-covexity (Schur-concavity) of means is considered and compared with recent results in the literature [1], [4], [2], [3]. A new proof for convexity (concavity) and Schur- covexity (Schur-concavity) of the integral arithmetic mean is done. We established the sufficient conditions such that the generalized quasi-arithmetic mean Mf (k
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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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On strongly Schur-convex stochastic process

Journal of Statistics and Management Systems
The study of strongly Schur convex stochastic processes is a main objective of this research. Additionally, certain properties of strongly Schur convex and Schur convex stochastic processes are given.
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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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On certain Schur-convex functions

Publicationes Mathematicae Debrecen, 2016
Pal Burai, Judit Mako
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