Related papers: On Khintchine inequalities with a weight

The aim of this note is to show that Poincar\'e inequalities imply corresponding weighted versions in a quite general setting. Fractional Poincar\'e inequalities are considered, too. The proof is short and does not involve covering…

We obtain simple proofs of certain inequalites for bivariate means.

We give a simple proof of a recently result concerning Hardy $q$-inequalities.

We study a weighted version of Carleman's inequality via Carleman's original approach. As an application of our result, we prove a conjecture of Bennett.

We prove a Khintchine type inequality under the assumption that the sum of Rademacher random variables equals zero. As an application we show a new tail-bound for a hypergeometric random variable.

Some new sufficient conditions for the weighted Chebyshev's inequality for real numbers to hold are provided.

We obtain some new inequalities of Chebyshev Type.

We prove in this note one weight norm inequalities for some positive Bergman-type operators.

In this note, we show various versions of holomorphic Morse inequalities tensoring with a coherent sheaf.

The aim of this paper is to analyze the weighted KyFan inequality proposed in [11]. A number of numerical simulations involving the exponential weighted function is given. We show that in several cases and types of examples one can imply an…

We prove some extensions of Andrews inequality.

In this article we derive some polynomial inequalities for Mertens functions.

In this note, we find a new inequality involving primes and deduce several Bonse-type inequalities.

We give a counterexample to a recently conjectured variant of the Penrose inequality.

We establish a weighted simultaneous Khintchine-type theorem, both convergence and divergence, for all nondegenerate manifolds, which answers a problem posed in [Math. Ann., 337(4):769-796, 2007]. This extends the main results of [Acta…

A survey of mean inequalities with real weights is given.

In this paper, we are interested in investigating a weighted variant of Hermite-Hadamard type inequalities involving convex functionals. The approach undertaken makes it possible to refine and reverse certain inequalities already known in…

Certain excess versions of the Minkowski and H\"older inequalities are given. These new results generalize and improve the Minkowski and H\"older inequalities.

We obtain inequalities of H\"{o}lder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of non-negative weights.

We prove Burkholder inequality using Bregman divergence.