Results 91 to 100 of about 7,574,393 (201)

Trace inequalities of Shisha-Mond type for operators in Hilbert spaces

Concrete Operators, 2017
Some trace inequalities of Shisha-Mond type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.
Dragomir Sever Silvestru
doaj   +1 more source

On a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function

Journal of Inequalities and Applications, 2016
By applying the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function with the best possible constant factor expressed by the gamma ...
Jianquan Liao, Bicheng Yang
doaj   +1 more source

Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley   +1 more source

Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson, Janne Nurminen, Mikko Salo   +2 more
wiley   +1 more source

On Hilbert type inequalities with non-conjugate parameters

Applied Mathematics Letters, 2009
Different versions of the Hilbert inequality has been investigated by many mathematicians, see [\textit{A. Kufner}, \textit{L. Maligranda} and \textit{L.-E. Persson}, The Hardy inequality. About its history and some related results, Pilsen: Vydavatelský Servis (2007; Zbl 1213.42001)]. Utilizing the properties of rearrangement of a function, the authors
Kuang Jichang, Lokenath Debnath
openaire   +3 more sources

A Common External Framework for Kleene and McCarthy Algebras

Mathematical Logic Quarterly, Volume 72, Issue 4, November 2026.
ABSTRACT Algebras of disjoint alternatives (ADAs), introduced by Manes, are extensions of McCarthy algebras by a unary operator acting as an oracle for the halting problem, and provide a semantics for the equational theory of the if–then–else construct.
Gandolfo Vergottini, Antonio Ledda, Pierluigi Graziani   +2 more
wiley   +1 more source

A Multidimensional Hilbert-Type Integral Inequality with the General Nonhomogeneous Kernel and Multiple Lower Limit Function

Mathematics
By means of weight functions, the introduction of parameters and Hardy’s integral inequality, a new special kind of multidimensional Hilbert-type integral inequality with the general nonhomogeneous kernel and one multiple lower limit function is obtained.
Bicheng Yang, Jianquan Liao
doaj   +1 more source

A Hilbert-type integral inequality(一个Hilbert型积分不等式)

Zhejiang Daxue xuebao. Lixue ban, 2007
通过估算权函数，建立一个含参数的具有最佳常数因子的Hilbert型积分不等式.同时建立它的两种最佳推广式及相应的等价形式.
YANGBi-cheng(杨必成)
doaj   +1 more source

The developmental trajectories of working memory updating from early childhood to adolescence: A meta‐analysis

British Journal of Psychology, Volume 117, Issue 4, Page 1367-1395, November 2026.
Abstract Working memory updating is a crucial cognitive function for learning and academic achievement that develops significantly throughout childhood and adolescence. Despite the varieties of existing tasks to measure children's working memory updating, its overall developmental trajectory and task‐specific developmental patterns remain inadequately ...
Ye Song, Chen Cheng
wiley   +1 more source

On a Reverse Half-Discrete Hilbert-Type Inequality with the General Homogeneous Kernel as Well as Multiple Lower Limit Function and Remainder Sum

Mathematics
By means of the weight functions, the idea of introduced parameters, and the reverse Hardy’s integral inequality, an extended reverse Hardy-type inequality is obtained, and then a new reverse half-discrete Hilbert-type inequality with the general ...
Bicheng Yang, Jianquan Liao
doaj   +1 more source