Monotonicity properties and inequalities related to generalized Grötzsch ring functions [PDF]
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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Generalized (ρ,θ)-η Invariant Monotonicity and Generalized (ρ,θ)-η Invexity of Nondifferentiable Functions [PDF]
Journal of Inequalities and Applications, 2009 New concepts of generalized (ρ,θ)-η invex functions for non-differentiable functions and generalized (ρ,θ)-η invariant monotone operators for set-valued mappings are introduced.
Caiping Liu, Xinmin Yang
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Monotonicity, convexity, and inequalities for the generalized elliptic integrals [PDF]
Journal of Inequalities and Applications, 2017 We provide the monotonicity and convexity properties and sharp bounds for the generalized elliptic integrals K a ( r ) $\mathscr{K}_{a}(r)$ and E a ( r ) $\mathscr {E}_{a}(r)$ depending on a parameter a ∈ ( 0 , 1 ) $a\in(0,1)$ , which contains an earlier
Tiren Huang, Shenyang Tan, Xiaohui Zhang
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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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A Complete Monotonicity of the Gamma Function [PDF]
, 2004 The function 1/x ln Γ(x+1)−ln x+1 is strictly completely monotonic on (0,∞)
Qi, Feng, Chen, Chao-Ping
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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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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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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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Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function
Journal of Inequalities and Applications, 2020 In the article, we present several new monotonicity properties and bounds involving the generalized Grötzsch ring functions μ a , b $\mu _{a,b}$ in the theory of Ramanujan’s generalized modular equation for 0 < a , b < 1 $0< a ...
Guo-Jing Hai, Tie-Hong Zhao
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Monotonic and Non-Monotonic Solution Concepts for Generalized Circuits
CoRR, 2019 Generalized circuits are an important tool in the study of the computational complexity of equilibrium approximation problems. However, in this paper, we reveal that they have a conceptual flaw, namely that the solution concept is not monotonic. By this we mean that if $\varepsilon < \varepsilon'$, then an $\varepsilon$-approximate solution for a ...
Steffen Schuldenzucker, Sven Seuken
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