Results 21 to 30 of about 50,520 (161)
Results in Mathematics, 2020 AbstractWe introduce and examine the notion ofT-Schur convexity which is naturally connected with Schur convexity. As a particular case, we considerT-Wright convex maps which generalize a well-known and intensively investigated class oft-Wright convex functions. We discuss several properties of this class of functions.
Andrzej Olbryś, Tomasz Szostok
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The Best Bounds in Gautschi-Kershaw Inequalities [PDF]
, 2005 By employing the convolution theorem of Laplace transforms, some asymptotic formulas and integral representations of the gamma, psi and polygamma functions, and other analytic techniques, this note provides an alternative proof of a monotonicity and ...
Qi, Feng +5 more
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Schur-convexity, Schur geometric and Schur harmonic convexities of dual form of a class symmetric functions [PDF]
Journal of Mathematical Inequalities, 2014 By the properties of Schur-convex function, Schur geometrically convex function and Schur harmonically convex function, Schur-convexity, Schur geometric and Schur harmonic con- vexities of the dual form for a class of symmetric functions are simply proved. As an application, several inequalities are obtained, some of which extend the known ones.
Huan-Nan Shi, Jing Zhang
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The Schur-convexity of the mean of a convex function
Applied Mathematics Letters, 2009 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, Da-Mao Li, Chun Gu
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Some Remarks on Various Schur Convexity
Kragujevac Journal of Mathematics, 2022 The aim of this work is to investigate the Schur convexity, Schur geometrically convexity, Schur harmonically convexity and Schur power convexity of some special functions. Some sufficient conditions are obtained to guarantee the above-mentioned properties satisfy. We attain some special inequalities. Also, we obtain some applications of main results.
Gorjizadeh, Farzaneh, Eftekhari, Noha
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Schur-Convexity and Schur-Geometric Convexity of Čebyšev Functional
, 2009 The Schur-convexity or concavity and the Schur-geometric convexity or concavity of the Čebyšev Functional on the upper and lower limits of the integral are discussed.
Zhang, Jian, Shi, Huan-Nan
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A Note on Schur-Convex Functions
Rocky Mountain Journal of Mathematics, 2000 In this note it is proved that integral rithmetic mean of convex function is Schur-convex function. Applications to Schur-convexity of logarithmic mean and gamma functions are given.
Elezović, N., Pečarić, J.
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A Remark on Schur-convexity of the mean of a convex function [PDF]
Journal of Mathematical Inequalities, 2015 In this note two remarks have been made about proving convexity and Schu-convexity of the mean of the convex functionm associated with the Hadamard's inequality which is considered in literature [1] and [2]. References [1]Huan-Nan Shi, Schur-convex functions related to Hadamrd-type inequalities, JMI, 1 no.1 (2007), 127-136 [2] Huan-Nan Shi, Da-MAo Li ...
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Abstract and Applied Analysis, 2010 The necessary and sufficient conditions for Schur geometrical convexity of the four-parameter means are given. This gives a unified treatment for Schur geometrical convexity of Stolarsky and Gini means.
Zhen-Hang Yang
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Schur m-power convexity of generalized geometric Bonferroni mean involving three parameters
Journal of Inequalities and Applications, 2019 In this paper, we study the Schur m-power convexity of the generalized geometric Bonferroni mean involving three parameters. Our result provides a unified generalization to the work that was done recently by Shi and Wu concerning the Schur convexity of ...
Shan-He Wu, Yu-Ming Chu
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