Hermite and convexity.
Hermite-Hadamard inequality on time scales.
Hermite-Hadamard type inequalities for increasing radiant functions.
Hermite-Hadamard-type inequalities for generalized convex functions.
Hermite-Hadamard-type inequalities for increasing positively homogeneous functions.
Hessian determinants as elements of dual Sobolev spaces
In this short note we present new integral formulas for the Hessian determinant. We use them for new definitions of Hessian under minimal regularity assumptions. The Hessian becomes a continuous linear functional on a Sobolev space.
Hidden lemmas in the early history of infinite series.
Hidden structures in the class of convex functions and a new duality transform
Our main intention in this paper is to demonstrate how some seemingly purely geometric notions can be presented and understood in an analytic language of inequalities and then, with this understanding, can be defined for classes of functions and reveal new and hidden structures in these classes. One main example which we discovered is a new duality transform for convex non-negative functions on attaining the value 0 at the origin (which we call “geometric convex functions”). This transform, together...
Higher integrability of determinants and weak convergence in L1.
Higher integrability with weights.
Higher order Euler-like methods.
Higher order Hardy inequalities.
Higher order Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator
The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstein-Uhlenbeck operator considered by A. Nowak, L. Roncal and K. Stempak to higher order.
Hilbert inequality for vector valued functions
In this paper we consider a class of Hankel operators with operator valued symbols on the Hardy space where is a separable infinite dimensional Hilbert space and showed that these operators are unitarily equivalent to a class of integral operators in We then obtained a generalization of Hilbert inequality for vector valued functions. In the continuous case the corresponding integral operator has matrix valued kernels and in the discrete case the sum involves inner product of vectors in the...
Hilbert-Pachpatte type inequalities from Bonsall's form of Hilbert's inequality.
Hilbert-Pachpatte type integral inequalities and their improvement.
Hilbert-Pachpatte type multidimensional integral inequalities.
Hilbert's space filling curves and geodesic laminations.
Hilbert's type linear operator and some extensions of Hilbert's inequality.
Histoire du 13e problème de Hilbert