Results 11 to 20 of about 121,109 (265)
Journal of Mathematical Analysis and Applications, 2003 The paper considers expressions of the form \( {\mathfrak M} = f_1 \mp\sqrt{f_2}\) where \(f_1, f_2\), is a symmetric form of degree \(1, 2,\) in \(n\) variables. The case where \(f_1=0\) has been considered by the second author [Math. Inequal. Appl. 6, 581--593 (2003; Zbl 1047.26015)]. Using suitable bases for the two spaces of forms these expressions
Abu-Saris, Raghib, Hajja, Mowaffaq
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Quadratic interpolation of the Heinz means [PDF]
Mathematical Inequalities & Applications, 2018 The main goal of this article is to present several quadratic refinements and reverses of the well known Heinz inequality, for numbers and matrices, where the refining term is a quadratic function in the mean parameters. The proposed idea introduces a new approach to these inequalities, where polynomial interpolation of the Heinz function plays a major
Kittaneh, Fuad +2 more
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Optimal power mean bounds for the second Yang mean
Journal of Inequalities and Applications, 2016 In this paper, we present the best possible parameters p and q such that the double inequality M p ( a , b ) < V ( a , b ) < M q ( a , b ) $$ M_{p}(a,b)< V(a,b)< M_{q}(a,b) $$ holds for all a , b > 0 $a, b>0$ with a ≠ b $a\neq b$ , where M r ( a , b ) = [
Jun-Feng Li, Zhen-Hang Yang, Yu-Ming Chu
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Optimal bounds for two Sándor-type means in terms of power means
Journal of Inequalities and Applications, 2016 In the article, we prove that the double inequalities M α ( a , b ) < S Q A ( a , b ) < M β ( a , b ) $M_{\alpha }(a,b)< S_{QA}(a,b)< M_{\beta}(a,b)$ and M λ ( a , b ) < S A Q ( a , b ) < M μ ( a , b ) $M_{\lambda }(a,b)< S_{AQ}(a,b)< M_{\mu}(a,b)$ hold ...
Tie-Hong Zhao +2 more
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Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean
Journal of Inequalities and Applications, 2019 In the article, we provide the sharp bounds for the Sándor–Yang mean in terms of certain families of the two-parameter geometric and arithmetic mean and the one-parameter geometric and harmonic means.
Wei-Mao Qian +3 more
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Comparative Study on Main Crop Yield Separation Methods
应用气象学报, 2020 Crop yield separation is one of the important steps in analyzing the impact of meteorological factors on yield. Statistical rice yield data for 1985-2018 from 24 counties in Jiangsu are used to analyze the rationality of different separation methods. Six
Li Xinyi +4 more
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Linear–Quadratic Mean-Field-Type Games: A Direct Method
Games, 2018 In this work, a multi-person mean-field-type game is formulated and solved that is described by a linear jump-diffusion system of mean-field type and a quadratic cost functional involving the second moments, the square of the expected value of the state,
Tyrone E. Duncan, Hamidou Tembine
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Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra-harmonic means
Journal of Inequalities and Applications, 2018 In the article, we provide several sharp upper and lower bounds for two Sándor–Yang means in terms of combinations of arithmetic and contra-harmonic means.
Hui-Zuo Xu, Yu-Ming Chu, Wei-Mao Qian
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Improvements of bounds for the Sándor–Yang means
Journal of Inequalities and Applications, 2019 In the article, we provide new bounds for two Sándor–Yang means in terms of the arithmetic and contraharmonic means. Our results are the improvements of the previously known results.
Wei-Mao Qian, Hui-Zuo Xu, Yu-Ming Chu
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