Good lower and upper bounds on binomial coefficients.
Gronwall-Bellman-type integral inequalities and applications to BVPs.
Gronwall-OuIang-type integral inequalities on time scales.
Grünbaum-type inequalities for special functions.
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...
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.
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 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 .
Hardy-Hilbert-type inequalities with a homogeneous kernel in discrete case.
Hardy-Littlewood and Caccioppoli-type inequalities for -harmonic tensors.
Hardy-Poincaré type inequalities derived from p-harmonic problems
We apply general Hardy type inequalities, recently obtained by the author. As a consequence we obtain a family of Hardy-Poincaré inequalities with certain constants, contributing to the question about precise constants in such inequalities posed in [3]. We confirm optimality of some constants obtained in [3] and [8]. Furthermore, we give constants for generalized inequalities with the proof of their optimality.