Related papers: On a generalized Wirtinger inequality

A generalisation of inner product spaces of an inequality due to Ostrowski and applications for sequences and integrals are given.

We establish an inequality of different metrics for algebraic polynomials.

In this paper we first generalize the Ostrowski inequality on time scales for k points and then unify corresponding continuous and discrete versions. We also point out some particular Ostrowski type inequalities on time scales as special…

We generalize Polya-Szego inequality to integrands depending on $u$ and its gradient. Under minimal additional assumptions, we establish equality cases in this generalized inequality. We also give relevant applications of our study to a…

In this paper, we will continue the investigation of Waring's problem, and give further improvements.

The present report, has been inspired by the need of the author and its colleagues to understand the underlying theory of Wirtinger's Calculus and to further extend it to include the kernel case. The aim of the present manuscript is…

In this paper we obtain a generalization of some integral inequalities related to Chebyshev`s functional by using a generalized Katugampola fractional integral.

The Riccati inequality and equality are studied for infinite dimensional linear discrete time stationary systems with respect to the scattering supply rate. The results obtained are an addition to and based on our earlier work on the…

We analyse an analog of the entropy-power inequality for the weighted entropy.

In this note we prove a weighted version of the Khintchine inequalities.

We study an inequality suggested by Littlewood, our result refines a result of Bennett.

In this note we present a refinement of the AM-GM inequality, and then we estimate in a special case the typical size of the improvement.

We give a generalization of the Shestakov-Umirbaev inequality which plays an important role in their solution of the tame generators conjecture.

In this paper, we sharpen and generalize Shafer-Fink's double inequality for the arc sine function.

In this paper we first extend a generalization of Ostrowski type inequality on time scales for functions whose derivatives are bounded and then unify corresponding continuous and discrete versions. We also point out some particular integral…

We find a generalization of the Mordell integral and we also establish a set of properties for a generalization of the Mordell integral similar to those in the third author's PhD thesis.

This article describes a new proof of the equality condition for the Brunn-Minkowski inequality.

An argument is provided for the equality case of the high dimensional Bonnesen inequality for sections. The known equality case of the Bonnesen inequality for projections is presented as a consequence.

There is a lot of information available concerning Hardy-Hilbert type inequalities in one or more dimensions. In this paper we introduce the development of such inequalities on homogeneous groups. Moreover, we point out a unification of…

One of the variants to proof the generalized Ito-Wentzell's formula is introduced and examined in this paper. The relationship between different representations of the generalized Ito-Wentzell's formula/ is considered.