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Normals with unknown variance (NUV) can represent many useful priors and blend well with Gaussian models and message passing algorithms. NUV representations of sparsifying priors have long been known, and NUV representations of binary (and…

Machine Learning · Statistics 2021-09-02 Raphael Keusch , Hans-Andrea Loeliger

Some new bounds for Cebysev functional for sequences of vectors in normed linear spaces are pointed out.

Classical Analysis and ODEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

In this article we describe applications of the numerical method of discrete differential forms in computational GR. In particular we consider the initial value problem for vacuum space-times that admit plane gravitational waves. As…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Ronny Richter , Jörg Frauendiener

Derived from the results in [Giang et al.: \emph{Convolutions for the Fourier transforms with geometric variables and applications}, Math. Nachr. 283(12) (2010), 1758--1770], in this paper, we devoted to studying the boundedness properties…

Classical Analysis and ODEs · Mathematics 2025-08-12 Nguyen Thi Hong Phuong , Trinh Tuan , Lai Tien Minh

In this paper, we show how to use the framework of mod-Gaussian convergence in order to study the fluctuations of certain models of random graphs, of random permutations and of random integer partitions. We prove that, in these three…

Probability · Mathematics 2020-05-27 Valentin Féray , Pierre-Loïc Méliot , Ashkan Nikeghbali

This preprint is a text for students and teachers on inequalities. Some standard topics are covered on application of calculus to inequality proving. Many examples are considered, stated, solved or partially solved. Some problems are…

History and Overview · Mathematics 2022-09-07 Sergei Sitnik , Elina Shishkina , Lidiya Kovaleva , Olga Chernova

We introduce a remarkable new family of norms on the space of $n \times n$ complex matrices. These norms arise from the combinatorial properties of symmetric functions, and their construction and validation involve probability theory,…

Combinatorics · Mathematics 2022-03-23 Konrad Aguilar , Ángel Chávez , Stephan Ramon Garcia , Jurij Volčič

The goal of this paper is to investigate Gevrey properties of formal solutions of certain generalized linear partial differential equations with variable coefficients. In particular, we extend the notion of moment partial differential…

Analysis of PDEs · Mathematics 2020-09-01 Maria Suwińska

In this paper we obtain the non-asymptotic inequalities of Poincare type between function and its weak gradient belonging the so-called Bilateral Grand Lebesgue Spaces over general metric measurable space. We also prove the sharpness of…

Functional Analysis · Mathematics 2015-01-05 E. Ostrovsky , L. Sirota

In this paper our aim is to prove some monotonicity and convexity results for the modified Struve function of the second kind by using its integral representation. Moreover, as consequences of these results, we present some functional…

Classical Analysis and ODEs · Mathematics 2015-01-28 Árpád Baricz , Tibor K. Pogány

This paper proposes a general modeling framework that allows for uncertainty quantification at the individual covariate level and spatial referencing, operating withing a double generalized linear model (DGLM). DGLMs provide a general…

Methodology · Statistics 2023-02-14 Aritra Halder , Shariq Mohammed , Kun Chen , Dipak K. Dey

In this article, we explore the celebrated Gr\"{u}ss inequality, where we present a new approach using the Gr\"{u}ss inequality to obtain new refinements of operator means inequalities. We also present several operator Gr\"{u}ss-type…

Functional Analysis · Mathematics 2020-09-17 H. R. Moradi , S. Furuichi , Z. Heydarbeygi , M. Sababheh

A range of first-passage percolation type models are believed to demonstrate the related properties of sublinear variance and superdiffusivity. We show that directed last-passage percolation with Gaussian vertex weights has a sublinear…

Probability · Mathematics 2010-09-14 B. T. Graham

In this paper, using some aspects of convex functions, we refine discrete Jensen's inequality via weight functions. Then, using these results, we give some applications in different abstract spaces and obtain some new interesting…

Numerical Analysis · Mathematics 2007-05-23 Jamal Rooin

We present recent finite element numerical results on a model convection-diffusion problem in the singular perturbed case when the convection term dominates the problem. We compare the standard Galerkin discretization using the linear…

Numerical Analysis · Mathematics 2023-02-16 Constantin Bacuta , Daniel Hayes , Tyler O'Grady

A class of spectral subgrid models based on a self-similar and reversible closure is studied with the aim to minimize the impact of subgrid scales on the inertial range of fully developed turbulence. In this manner, we improve the scale…

Fluid Dynamics · Physics 2019-07-19 Luca Biferale , Fabio Bonaccorso , Michele Buzzicotti , Kartik P. Iyer

The aim of this paper is to obtain some generalized weighted Ostrowski inequalities for differentiable mappings. Some well known inequalities can be derived as special cases of the inequalities obtained here. In addition, perturbed…

Classical Analysis and ODEs · Mathematics 2014-01-29 Ather Qayyum , Silvestru Sever Dragomir , Muhammad Shoaib

In this paper, we study main properties of cone normed spaces, and prove some theorems of weighted means in cone normed spaces.

Functional Analysis · Mathematics 2010-06-29 Ayse Sonmez , Huseyin Cakalli

A mixed type surface is a connected regular surface in a Lorentzian 3-manifold with non-empty spacelike and timelike point sets. The induced metric of a mixed type surface is a signature-changing metric, and their lightlike points may be…

Differential Geometry · Mathematics 2019-11-26 Atsufumi Honda , Kentaro Saji , Keisuke Teramoto

Applications in data science, shape analysis and object classification frequently require comparison of probability distributions defined on different ambient spaces. To accomplish this, one requires a notion of distance on a given class of…

Metric Geometry · Mathematics 2022-07-19 Facundo Mémoli , Tom Needham
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