Hilbert-Pachpatte type multidimensional integral inequalities.
Hilbert's type linear operator and some extensions of Hilbert's inequality.
History, generalizations and unified treatment of two Ostrowski's inequalities.
Holomorphic Lipschitz functions in balls.
Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives
The aim of this paper is to study the stability of fractional differential equations in Hyers-Ulam sense. Namely, if we replace a given fractional differential equation by a fractional differential inequality, we ask when the solutions of the fractional differential inequality are close to the solutions of the strict differential equation. In this paper, we investigate the Hyers-Ulam stability of two types of fractional linear differential equations with Caputo fractional derivatives. We prove that...
Hypercontractivity for perturbed diffusion semigroups
Ideal Weights: Assymptotically Optimal Versions of Doubling, Absolute Continuity, and Bounded Mean Oscillation.
Identification problem for nonlinear beam -- extension for different types of boundary conditions
Identification problem is a framework of mathematical problems dealing with the search for optimal values of the unknown coefficients of the considered model. Using experimentally measured data, the aim of this work is to determine the coefficients of the given differential equation. This paper deals with the extension of the continuous dependence results for the Gao beam identification problem with different types of boundary conditions by using appropriate analytical inequalities with a special...
Improved bounds for and the factorical polynomial.
Improved -convexity inequalities.
Improved integral inequalities for products of convex functions.
Improved Sobolev embedding theorem
Improvement and reversion of Slater's inequality and related results.
Improvement of Aczél's inequality and Popoviciu's inequality.
Improvement of an Ostrowski type inequality for monotonic mappings and its application for some special means.
Improvement of Jensen-Steffensen's inequality for superquadratic functions.
Improvements of Euler-trapezoidal type inequalities with higher-order convexity and applications.
Improvements of some integral inequalities of H. Gauchman involving Taylor's remainder.
Inclusion and differentiability criteria for Lp-classes of infinitely differentiable functions.
Inégalité de Brunn-Minkowski-Lusternik, et autres inégalités géométriques et fonctionnelles
La théorie des corps convexes a commencé à la fin du xixe siècle avec l’inégalité de Brunn, généralisée ensuite sous la forme de l’inégalité de Brunn-Minkowski-Lusternik, qui s’applique à des ensembles non convexes. Ce thème a depuis longtemps des contacts avec les problèmes isopérimétriques et avec des inégalités d’Analyse telle que les plongements de Sobolev. On développera quelques aspects plus récents des inégalités géométriques, dont certains sont liés à la technique du transport de mesure,...