Other Proofs of Monotonicity for Generalized Weighted Mean Values [PDF]
, 1999 In this article, another two simple and short proofs of monotonicity for the generalized weighted mean values with two parameters are ...
Qi, Feng, Mei, Jia-Qiang, Xu, Sen-Lin
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Complete Monotonicity of Logarithmic Mean [PDF]
, 2007 In the article, the logarithmic mean is proved to be completely monotonic and an open problem about the logarithmically complete monotonicity of the extended mean values is ...
Qi, Feng
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Monotonicity Results for Arithmetic Means of Concave and Convex Functions [PDF]
, 2006 By majorization approaches, some known results on monotonicity of the arithmetic means of convex and concave functions are proved and generalized once ...
Xu, Tie-Quan, Qi, Feng, Shi, Huan-Nan
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Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means [PDF]
, 2003 Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing on (−∞,∞), where Lr(a, b) denotes the generalized (extended) logarithmic mean of two positive numbers a and ...
Qi, Feng, Chen, Chao-Ping
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A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality [PDF]
, 2006 In the article, the logarithmically complete monotonicity of a class of functions involving the Euler’s gamma function are proved, a class of the first Kershaw type double inequalities are established, and the first Kershaw’s double inequality and ...
Qi, Feng
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Generalized Abstracted Mean Values [PDF]
, 1998 In this article, the author introduces the generalized abstracted mean values which extend the concepts of most means with two variables, and researches their basic properties and ...
Qi, Feng
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Monotonicity, concavity, and inequalities related to the generalized digamma function
Advances in Difference Equations, 2018 In this paper, we establish a concave theorem and some inequalities for the generalized digamma function. Hence, we give complete monotonicity property of a determinant function involving all kinds of derivatives of the generalized digamma function.
Li Yin +3 more
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TESTING GENERALIZED REGRESSION MONOTONICITY [PDF]
Econometric Theory, 2018 We propose a test for a generalized regression monotonicity (GRM) hypothesis. The GRM hypothesis is the sharp testable implication of the monotonicity of certain latent structures, as we show in this article. Examples include the monotonicity of the conditional mean function when only interval data are available for the dependent variable and the ...
Hsu, Yu-Chin, Liu, Chu-An, Shi, Xiaoxia
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Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks
Abstract and Applied Analysis, 2013 We introduce and study a new notion of relatively A-maximal m-relaxed monotonicity framework and discuss some properties of a new class of generalized relatively resolvent operator associated with the relatively A-maximal m-relaxed monotone operator and ...
Heng-you Lan
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Monotonicity properties and inequalities related to generalized Grötzsch ring functions
Open Mathematics, 2019 In the paper, the authors present some monotonicity properties and some sharp inequalities for the generalized Grötzsch ring function and related elementary functions. Consequently, the authors obtain new bounds for solutions of the Ramanujan generalized
Wang Fei, He Jian-Hui, Yin Li, Qi Feng
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