Related papers: On a generalized Wirtinger inequality
Following and generalizing unpublished work of Ange, we prove a generalized version of R\'emond's generalized Vojta inequality. This generalization can be applied to arbitrary products of irreducible positive-dimensional projective…
In this paper, we present an improvement of a large sieve type inequality in high dimensions and discuss its implications on a related problem.
Some related results to Pecaric's inequality in inner product spaces that generalises Bombieri's inequality, are given.
In this short note, we improve the famous Reid Inequality related to linear operators.
In this paper, we study the support vector machine and introduced the notion of generalized support vector machine for classification of data. We show that the problem of generalized support vector machine is equivalent to the problem of…
A generalization of an inequality from IMO is proven.
We use the definition of a fractional integral, recently proposed by Katugampola, to establish a generalization of the reverse Minkowski's inequality. We show two new theorems associated with this inequality, as well as state and show other…
In this work, a generalization of the well known Bernoulli inequality is obtained by using the theory of discrete fractional calculus. As far as we know our approach is novel.
The paper deals with a generalisation of uniform distribution. The analogues of Weyl's criterion are derived.
We give several inequalities on generalized entropies involving Tsallis entropies, using some inequalities obtained by improvements of Young's inequality. We also give a generalized Han's inequality.
Companion results to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.
In this article we present a generalization of a Leibniz's geometrical theorem and an application of it.
In this paper, we present a generalized Bell inequality for mixed states. The distinct characteristic is that the inequality has variable bound depending on the decomposition of the density matrix. The inequality has been shown to be more…
We generalize the classical Minkowski integral inequality to the form involving general Banach function norms.
The main aim of this paper is to prove a generalization of the classical Bohr theorem and as an application, we obtain a counterpart of Bohr theorem for the generalized Ces\'aro operator.
The aim of this paper is to present necessary and sufficient conditions for generalized H\"{o}lder's inequality on generalized Morrey spaces. We also obtain similar results on weak Morrey spaces and on generalized weak Morrey spaces. The…
We give an elementary estimate that entails and generalises numerous Korn inequalities scattered in the literature. As special instances, we obtain general Korn-type inequalities involving normal or tangential trace components, or lower…
We obtain some new inequalities of Chebyshev Type.
We prove some new retarded integral inequalities. The results generalize those in [J. Math. Anal. Appl. 301 (2005), no. 2, 265--275].
In this paper we obtain some existence result of solution for general variational inequalities. As applications several coincidence and fixed point results are provided.