Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature
Mathematics, 2018 We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such submanifolds we establish a Euler inequality and a Chen-Ricci inequality with respect to a sectional curvature of the ambient Hessian manifold.
Adela Mihai, Ion Mihai
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Lagrangian submanifolds in complex space forms satisfying an improved equality involving δ(2,2) [PDF]
, 2013 It was proved in [8, 9] that every Lagrangian submanifold M of a complex space form M˜ 5 (4c) of constant holomorphic sectional curvature 4c satisfies the following optimal inequality: δ(2, 2) ≤ 25 4 H 2 + 8c, (A) where H 2 is the squared mean curvature
Chen, Bang-Yen +2 more
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Characterizations of matrix and operator-valued Φ-entropies, and operator Efron-Stein inequalities [PDF]
, 2016 © 2016 The Author(s). We derive new characterizations of the matrix Φ-entropy functionals introduced in Chen & Tropp (Chen, Tropp 2014 Electron. J. Prob. 19, 1-30. (doi:10.1214/ejp.v19-2964)).
Cheng, HC, Hsieh, MH
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On Chen invariants and inequalities in quaternionic geometry [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms
Mathematics, 2020 In the geometry of submanifolds, Chen inequalities represent one of the most important tool to find relationships between intrinsic and extrinsic invariants; the aim is to find sharp such inequalities. In this paper we establish an optimal inequality for
Gabriel Macsim, Adela Mihai, Ion Mihai
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On Lyapunov-type inequalities for two-dimensional nonlinear partial systems [PDF]
, 2010 We establish a new Laypunov-type inequality for two nonlinear systems of partial differential equations and the discrete analogue is also established. As application, boundness of the two-dimensional Emden-Fowler-type equation is proved. Copyright © 2010
Chen, LY, Cheung, WS, Zhao, CJ
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Optimal Uniform Convergence Rates and Asymptotic Normality for Series Estimators Under Weak Dependence and Weak Conditions [PDF]
, 2014 We show that spline and wavelet series regression estimators for weakly dependent regressors attain the optimal uniform (i.e. sup-norm) convergence rate $(n/\log n)^{-p/(2p+d)}$ of Stone (1982), where $d$ is the number of regressors and $p$ is the ...
Chen, Xiaohong, Christensen, Timothy
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A New Estimate on the Rate of Convergence of Durrmeyer-Bézier Operators
Journal of Inequalities and Applications, 2009 We obtain an estimate on the rate of convergence of Durrmeyer-Bézier operaters for functions of bounded variation by means of some probabilistic methods and inequality techniques. Our estimate improves the result of Zeng and Chen (2000).
Pinghua Wang, Yali Zhou
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Growth and Regional Inequality in China During the Reform Era [PDF]
, 2003 Chinese city-level data indicate that differences in growth rates are far more severe than indicated in previous studies which typically use data at higher levels of aggregation. We estimate growth equations using city-level data and find that the policy
Jones, Derek C., Li, Cheng, Owen, Ann L.
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H∞ filtering for uncertain stochastic time-delay systems with sector-bounded nonlinearities [PDF]
, 2008 This is the post print version of the article. The official published version can be obtained from the link - Copyright 2008 Elsevier Ltd.In this paper, we deal with the robust H∞ filtering problem for a class of uncertain nonlinear time-delay stochastic
Anderson +33 more
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