Grüss type inequalities for forward difference of vectors in inner product spaces.
Grüss-type bounds for covariances and the notion of quadrant dependence in expectation
We show that Grüss-type probabilistic inequalities for covariances can be considerably sharpened when the underlying random variables are quadrant dependent in expectation (QDE). The herein established covariance bounds not only sharpen the classical Grüss inequality but also improve upon recently derived Grüss-type bounds under the assumption of quadrant dependency (QD), which is stronger than QDE. We illustrate our general results with examples based on specially devised bivariate distributions...
Haar spaces and polynomial selections.
Hadamard type inequalities for -convex and -convex functions.
Hadamard's inequality in inner product spaces.
Hadamard-type inequalities for quasiconvex functions.
Hajek-Renyi-type inequality for some nonmonotonic functions of associated random variables.
Hake's property of a multidimensional generalized Riemann integral
Halbborelsche Funktionen und extreme Ableitungen
Hamiltoniens quasi-convexes quasi-concaves
Hamilton’s Principle with Variable Order Fractional Derivatives
MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe propose a generalization of Hamilton’s principle in which the minimization is performed with respect to the admissible functions and the order of the derivation. The Euler–Lagrange equations for such minimization are derived. They generalize the classical Euler-Lagrange equation. Also, a new variational problem is formulated in the case when the order of the derivative is defined through a constitutive equation....
Hardy and Rellich type inequalities with remainders
Hardy and Rellich type inequalities with an additional term are proved for compactly supported smooth functions on open subsets of the Euclidean space. We obtain one-dimensional Hardy type inequalities and their multidimensional analogues in convex domains with the finite inradius. We use Bessel functions and the Lamb constant. The statements proved are a generalization for the case of arbitrary $p\geq 2$ of the corresponding inequality proved by F. G. Avkhadiev, K.-J. Wirths (2011) for $p = 2$....
Hardy fields and existence of transexponential functions.
Hardy inequalities with non-standard remainder terms
Hardy Inequality in Variable Exponent Lebesgue Spaces
Mathematics Subject Classification: 26D10, 46E30, 47B38We prove the Hardy inequality and a similar inequality for the dual Hardy operator for variable exponent Lebesgue spaces.
Hardy inequality of fractional order.
Hardy inequality on time scales and its application to half-linear dynamic equations.
Hardy type inequalities in higher dimensions with explicit estimate of constants.
Hardy-Hilbert type inequalities with fractional kernel in .