Results 101 to 110 of about 148 (138)
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Randomized Algorithms for Streaming Low‐Rank Approximation in Tree Tensor Network Format
ABSTRACT In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella
wiley +1 more source
On Two Extensions of Hilbert’s Integral Inequality
. The norm of a Hilbert’s type linear operator T : L 2 (0,∞) → L 2 (0,∞) is given. By introducing some parameters, we give the norms of two extensions of Hilbert’s integral operator.
Z. Jokar
doaj
AN INEQUALITY FOR THE HILBERT TRANSFORM [PDF]
openaire +6 more sources
On Metric Choice in Dimension Reduction for Fréchet Regression
Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale +3 more
wiley +1 more source
Finiteness of the Hölder–Brascamp–Lieb constant revisited
Abstract Abstract Hölder–Brascamp–Lieb inequalities have become a ubiquitous tool in Fourier analysis in recent years, due in large part to a theorem of Bennett et al. characterizing finiteness of the Hölder–Brascamp–Lieb constant. Here we provide a new characterization of a substantially different nature involving directed graphs of subspaces.
Philip T. Gressman
wiley +1 more source
On Hilbert’s inequality in 𝑛 dimensions [PDF]
de Bruijn, N. G., Wilf, Herbert S.
openaire +2 more sources
Fine multidegrees, universal Gröbner bases, and matrix Schubert varieties
Abstract We give a criterion for a collection of polynomials to be a universal Gröbner basis for an ideal in terms of the multidegree of the closure of the corresponding affine variety in (P1)N$(\mathbb {P}^1)^N$. This criterion can be used to give simple proofs of several existing results on universal Gröbner bases.
Daoji Huang, Matt Larson
wiley +1 more source
On New Generalizations of Hilbert's Inequality
Let \(\lambda>0\) and let \(f_i : (0,\infty)\rightarrow\mathbb R\) \((i=1,2)\) be functions such that ...
openaire +2 more sources
On Some New Inequalities Similar to Hilbert's Inequality
Let \(p,q\in [1,\infty)\), \(k,r\in\mathbb{N}\), \(\{a_m\}^k_1,\{b_n\}^r_1\subset [0,\infty)\), \(A_m= \sum^m_{s=1} a_s\) and \(B_n= \sum^n_{t=1} b_t\). Then \[ \sum^k_{m= 1} \sum^r_{n= 1} {A^p_m B^q_n\over m+n}\leq C\Biggl(\sum^k_{m= 1} (k- m+1) (A^{p-1}_m a_m)^2\Biggr)^{1/2} \Biggl(\sum^r_{n= 1}(r- n+1) (B^{q- 1}_n b_n)^2\Biggr)^{1/2} \] (unless ...
openaire +2 more sources

