Results 21 to 30 of about 208,435 (298)
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
doaj +1 more source
B.‐Y. Chen inequalities for semislant submanifolds in Sasakianspace forms [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 Chen (1993) established a sharp inequality for the sectional curvature of a submanifold in Riemannian space forms in terms of the scalar curvature and squared mean curvature. The notion of a semislant submanifold of a Sasakian manifold was introduced by J. L. Cabrerizo, A. Carriazo, L. M. Fernandez, and M. Fernandez (1999).
Dragoş Cioroboiu
openalex +3 more sources
The Khinchin inequality and Chen’s theorem [PDF]
St. Petersburg Mathematical Journal, 2012 Summary: Chen's theorem on the mean values of \(L_q\)-discrepancies is one of the basic results in the theory of uniformly distributed point sets. This is a difficult result, based on deep and nontrivial combinatorial arguments (see the papers by Chen and Beck on irregularities of distributions). The paper is aimed at showing that the results of such a
openaire +1 more source
Padé approximant related to inequalities for Gauss lemniscate functions
Journal of Inequalities and Applications, 2016 Based on the Padé approximation method, we present new inequalities for Gauss lemniscate functions. We also solve a conjecture on inequalities for Gauss lemniscate functions proposed by Sun and Chen.
Juan Liu, Chao-Ping Chen
doaj +1 more source
Intertwining and commutation relations for birth-death processes [PDF]
, 2013 Given a birth-death process on $\mathbb {N}$ with semigroup $(P_t)_{t\geq0}$ and a discrete gradient ${\partial}_u$ depending on a positive weight $u$, we establish intertwining relations of the form ${\partial}_uP_t=Q_t\,{\partial}_u$, where $(Q_t)_{t ...
Chafaï, Djalil, Joulin, Aldéric
core +4 more sources
Geometric Inequalities for a Submanifold Equipped with Distributions
Mathematics, 2022 The article introduces invariants of a Riemannian manifold related to the mutual curvature of several pairwise orthogonal subspaces of a tangent bundle. In the case of one-dimensional subspaces, this curvature is equal to half the scalar curvature of the
Vladimir Rovenski
doaj +1 more source
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
core +3 more sources
Chen's inequality in the Lagrangian case [PDF]
Colloquium Mathematicum, 2007 In the theory of submanifolds, the following problem is fundamental: es- tablish simple relationships between the main intrinsic invariants and the main extrinsic invariants of submanifolds. The basic relationships discovered until now are inequalities. To analyze such problems, we follow the idea of C.
openaire +1 more source
Approximating trigonometric functions by using exponential inequalities
Journal of Inequalities and Applications, 2019 In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions. Numerical examples show that one can achieve much tighter bounds than those of prevailing methods, which are presented by Cusa, Huygens ...
Xiao-Diao Chen, Junyi Ma, Yixin Li
doaj +1 more source
Mathematics, 2022 In this study, some identities involving the Riemannian curvature invariants are presented on lightlike hypersurfaces of a statistical manifold in the Lorentzian settings. Several inequalities characterizing lightlike hypersurfaces are obtained.
Oğuzhan Bahadır +3 more
doaj +1 more source