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In this paper, we establish noncommutative Burkholder inequalities with asymmetric diagonals in symmetric operator spaces. Our proof mainly relies on a new complex interpolation result on asymmetric vector valued spaces and a duality…

Operator Algebras · Mathematics 2023-05-10 Lian Wu , Runlian Xia , Dejian Zhou

A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and…

Numerical Analysis · Mathematics 2025-10-20 Sever Silvestru Dragomir

We investigate partial regularity for vector valued local minimizers of double phase functionals, under vectorial obstacle type constraints satisfying appropriate topological properties.

Analysis of PDEs · Mathematics 2025-08-15 Filomena De Filippis , Antonella Nastasi , Cintia Pacchiano Camacho

In this paper, we investigate the problem of classifying feature vectors with mutually independent but non-identically distributed elements. First, we show the importance of this problem. Next, we propose a classifier and derive an…

Machine Learning · Computer Science 2021-09-01 Farzad Shahrivari , Nikola Zlatanov

We derive weighted Sobolev-Poincar\'e type inequalities in function spaces concerned with parabolic partial differential equations. We consider general weights depending on both space and time variables belonging to a Muckenhoupt class,…

Analysis of PDEs · Mathematics 2022-01-11 Lars Diening , Mikyoung Lee , Jihoon Ok

Linear vector equations and inequalities are considered defined in terms of idempotent mathematics. To solve the equations, we apply an approach that is based on the analysis of distances between vectors in idempotent vector spaces. The…

Optimization and Control · Mathematics 2013-05-21 Nikolai Krivulin

We review some convexity inequalities for Hermitian matrices an add one more to the list.

Functional Analysis · Mathematics 2007-05-23 Jean-christophe Bourin

The purpose of this paper is to study a Markov type inequality for algebraic polynomials in $L^p$ norm on two-dimensional cuspidal domains.

Classical Analysis and ODEs · Mathematics 2020-04-28 Tomasz Beberok

In this paper, Lyapunov type inequality is establish for fractional boundary value problem involving the k-Prabhakar fractional derivative.

Classical Analysis and ODEs · Mathematics 2017-02-07 Narayan G. Abuj , Deepak B. Pachpatte

In this paper, we establish some integral ineuqalities for n- times differentiable convex functions.

Classical Analysis and ODEs · Mathematics 2013-10-04 Merve Avci Ardic

We consider a system of seminlinear parabolic variational inequalities with time-dependent convex obstacles. We prove the existence and uniqueness of its solution. We also provide a stochastic representation of the solution and show that it…

Analysis of PDEs · Mathematics 2019-03-28 Tomasz Klimsiak , Andrzej Rozkosz , Leszek Slominski

We give by simple arguments sufficient conditions, so called Lyapunov conditions, for Talagrand's transportation information inequality and for the logarithmic Sobolev inequality. Those sufficient conditions work even in the case where the…

Probability · Mathematics 2008-10-31 Patrick Cattiaux , Arnaud Guillin , Liming Wu

In this paper, we establish jump and variational inequalities for the Calder\'{o}n commutators, which are typical examples of non-convolution Calder\'on-Zygmund operators. For this purpose, we also show jump and variational inequalities for…

Classical Analysis and ODEs · Mathematics 2017-09-12 Yanping Chen , Yong Ding , Guixiang Hong , Jie Xiao

This paper builds upon several recent works, where semigroup proofs of Brascamp-Lieb inequalities are provided in various settings (Euclidean space, spheres and symmetric groups). Our aim is twofold. Firstly, we provide a general, unifying,…

Functional Analysis · Mathematics 2009-07-17 F. Barthe , D. Cordero-Erausquin , M. Ledoux , B. Maurey

This paper is concerned with solving some structured multi-linear systems, which are called tensor absolute value equations. This kind of absolute value equations is closely related to tensor complementarity problems and is a generalization…

Numerical Analysis · Mathematics 2017-05-19 Shouqiang Du , Liping Zhang , Chiyu Chen , Liqun Qi

In this paper, we obtain Lyapunov type inequality for discrete fractional boundary value problem.

Classical Analysis and ODEs · Mathematics 2021-02-04 Narayan G. Abuj , Deepak B. Pachpatte

In this paper Lyapunov type inequality is developed for hybrid fractional boundary value problem involving the prabhakar fractional derivative.

Classical Analysis and ODEs · Mathematics 2016-09-13 Deepak B. Pachpatte , Narayan G. Abuj , Amol D. Khandagale

We use different approaches to study a generalization of a result of Levin and Ste\v{c}kin concerning an inequality analogous to Hardy's inequality. Our results lead naturally to the study of weighted remainder form of Hardy-type…

Functional Analysis · Mathematics 2009-07-31 Peng Gao

We will consider about some inequalities on operator means for more than three operators, for instance, ALM and BMP geometric means will be considered. Moreover, log-Euclidean and logarithmic means for several operators will be treated.

Functional Analysis · Mathematics 2019-12-19 Shuhei Wada , Takeaki Yamazaki

The main objective of this paper is to study some Ostrowski and Trapezoid type inequalities for double integrals on Time Scales. Some other interesting inequalities are also given.

Classical Analysis and ODEs · Mathematics 2018-07-27 Deepak B. Pachpatte