Results 21 to 30 of about 13,449 (192)

The Khinchin inequality and Chen’s theorem [PDF]

open access: yesSt. 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

Inequalities for the polygamma functions with application [PDF]

open access: yes, 2005
We present some inequalities for the polygamma ...
Chen, Chaoping
core   +1 more source

Geometric Inequalities for a Submanifold Equipped with Distributions

open access: yesMathematics, 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

Chen's inequality in the Lagrangian case [PDF]

open access: yesColloquium 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

Main Curvatures Identities on Lightlike Hypersurfaces of Statistical Manifolds and Their Characterizations

open access: yesMathematics, 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

Recent Developments on the First Chen Inequality in Differential Geometry

open access: yesMathematics, 2023
One of the most fundamental interests in submanifold theory is to establish simple relationships between the main extrinsic invariants and the main intrinsic invariants of submanifolds and find their applications. In this respect, the first author established, in 1993, a basic inequality involving the first δ-invariant, δ(2), and the squared mean ...
Bang-Yen Chen, Gabriel-Eduard Vîlcu
openaire   +2 more sources

Do differences in the administrative structure of populations confound comparisons of geographic health inequalities? [PDF]

open access: yes, 2010
<p>Background: Geographical health inequalities are naturally described by the variation in health outcomes between areas (e.g. mortality rates). However, comparisons made between countries are hampered by our lack of understanding of the effect of
Jackson, A.L.   +8 more
core   +1 more source

On Generalized Strong Vector Variational-Like Inequalities in Banach Spaces

open access: yesJournal of Inequalities and Applications, 2007
The purpose of this paper is to study the solvability for a class of generalized strong vector variational-like inequalities in reflexive Banach spaces.
Lu-Chuan Ceng   +2 more
doaj   +2 more sources

Hermite-Hadamard Inequalities in Fractional Calculus for Left and Right Harmonically Convex Functions via Interval-Valued Settings

open access: yesFractal and Fractional, 2022
The purpose of this study is to define a new class of harmonically convex functions, which is known as left and right harmonically convex interval-valued function (LR-𝓗-convex IV-F), and to establish novel inclusions for a newly defined class of interval-
Muhammad Bilal Khan   +4 more
doaj   +1 more source

On Chen invariants and inequalities in quaternionic geometry [PDF]

open access: yesJournal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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