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Weighted Sobolev Type Inequalities in a Smooth Metric Measure Space
In this paper, we obtain weighted Sobolev type inequalities with explicit constants that extend the inequalities obtained by Guo et al. (Math Res...
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Sidon-Type Inequalities and the Space of Quasi-continuous Functions
AbstractWe discuss various results on Sidon-type inequalities and on the space of quasi-continuous functions.
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State polynomials: positivity, optimization and nonlinear Bell inequalities
This paper introduces state polynomials, i.e., polynomials in noncommuting variables and formal states of their products. A state analog of Artin’s...
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Discrete approximation for two-stage stochastic variational inequalities
In this paper, the discrete approximation of two-stage stochastic variational inequalities has been investigated when the second stage problem has...
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Bregman-Golden Ratio Algorithms for Variational Inequalities
Variational inequalities provide a framework through which many optimisation problems can be solved, in particular, saddle-point problems. In this...
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On Multistage Pseudomonotone Stochastic Variational Inequalities
This paper focuses on the solvability of multistage pseudomonotone stochastic variational inequalities (SVIs). On the one hand, some known...
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Convergence Results for a Class of Generalized Second-Order Evolutionary Variational–Hemivariational Inequalities
In this paper, we deal with a class of second-order evolutionary history-dependent variational–hemivariational inequalities with constraint. The...
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A generalized extragradient method for variational inequalities of the second kind
We formulate and analyze a generalized extragradient method for the iterative solution of variational inequalities of the second kind of the form
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Fourier Transform of Anisotropic Hardy Spaces Associated with Ball Quasi-Banach Function Spaces and Its Applications to Hardy-Littlewood Inequalities
Let A be a general expansive matrix and X be a ball quasi-Banach function space on ℝ n , whose certain power (namely its convexification) supports a...
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Differential Evolution Hemivariational Inequalities with Anti-periodic Conditions
The goal of this paper is to deal with a new dynamic system called a differential evolution hemivariational inequality (DEHVI) which couples an...
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Weighted Hardy and Rellich Types Inequalities on the Heisenberg Group with Sharp Constants
This paper aims at deriving some weighted Hardy type and Rellich type inequalities with sharp constants on the Heisenberg group. The improved...
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Optimal transport approach to Michael–Simon–Sobolev inequalities in manifolds with intermediate Ricci curvature lower bounds
We generalize McCann’s theorem of optimal transport to a submanifold setting and use it to prove Michael–Simon–Sobolev inequalities for submanifolds...
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The study of certain optimization problems via variational inequalities
In this paper, by using some generalized convexity and differentiability (of Fréchet-type) hypotheses of the involved functionals, we establish...
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Refinements of some inequalities involving Berezin norms and Berezin number and related questions
In this paper, we give several refinements of Berezin norm and Berezin number inequalities of bounded linear operators defined on a reproducing...
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Extensions of recent combinatorial refinements of discrete and integral Jensen inequalities
The main purpose of this work is to present essential extensions of results in [
7 ] and [8 ], and apply them to some special situations. Of particular... -
Alternating Projection Method for Intersection of Convex Sets, Multi-Agent Consensus Algorithms, and Averaging Inequalities
AbstractThe history of the alternating projection method for finding a common point of several convex sets in Euclidean space goes back to the...
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Quantitative versions of the two-dimensional Gaussian product inequalities
The Gaussian product-inequality (GPI) conjecture is one of the most famous inequalities associated with Gaussian distributions and has attracted much...
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Remarks about the mean value property and some weighted Poincaré-type inequalities
We start providing a quantitative stability theorem for the rigidity of an overdetermined problem involving harmonic functions in a punctured domain....
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Minimax-Maximin Relations for the Problem of Vector-Valued Criteria Optimization
AbstractThe minimax-maximin relations for vector-valued functionals over the real field are studied. An increase in the dimensionality of criteria...