Results 11 to 20 of about 50,277 (117)
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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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 Generalized Heronian Means Involving Two Parameters
Journal of Inequalities and Applications, 2008 The Schur convexity and Schur-geometric convexity of generalized Heronian means involving two parameters are studied, the main result is then used to obtain several interesting and significantly inequalities for generalized Heronian means.
Bencze Mihály +3 more
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Logarithmic Convexity of the One-Parameter Mean Values [PDF]
, 2004 In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonicity of the product J(r)J(−r) with r Є R are presented. Some more general results are established.
Qi, Feng, Cheung, Wing Sum
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Schur Convexity and the Dual Simpson’s Formula
Journal of Applied Mathematics and Physics, 2016 In this paper, we show that some functions related to the dual Simpson’s formula and Bullen- Simpson’s formula are Schur-convex provided that f is four-convex. These results should be compared to that of Simpson’s formula in Applied Math. Lett. (24) (2011), 1565-1568.
exaly +3 more sources
International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
wiley +1 more source
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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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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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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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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