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Following and generalizing unpublished work of Ange, we prove a generalized version of R\'emond's generalized Vojta inequality.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…

Number Theory · Mathematics 2021-10-05 Gabriel Andreas Dill

In this paper, we present an improvement of a large sieve type inequality in high dimensions and discuss its implications on a related problem.

Number Theory · Mathematics 2007-05-23 Liangyi Zhao

Some related results to Pecaric's inequality in inner product spaces that generalises Bombieri's inequality, are given.

Analysis of PDEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

In this short note, we improve the famous Reid Inequality related to linear operators.

Functional Analysis · Mathematics 2017-04-25 Mohammed Hichem Mortad

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…

Machine Learning · Computer Science 2017-03-08 Xiaomin Qi , Sergei Silvestrov , Talat Nazir

A generalization of an inequality from IMO is proven.

General Mathematics · Mathematics 2014-11-18 Nikolai Nikolov

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…

Classical Analysis and ODEs · Mathematics 2017-05-23 J. Vanterler da C. Sousa , E. Capelas de Oliveira

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.

Classical Analysis and ODEs · Mathematics 2017-08-29 Rui A. C. Ferreira

The paper deals with a generalisation of uniform distribution. The analogues of Weyl's criterion are derived.

Functional Analysis · Mathematics 2015-11-25 Ligia L. Cristea , Milan Pasteka

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.

Classical Analysis and ODEs · Mathematics 2013-01-08 S. Furuichi , N. Minculete , F. -C. Mitroi

Companion results to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.

Classical Analysis and ODEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

In this article we present a generalization of a Leibniz's geometrical theorem and an application of it.

General Mathematics · Mathematics 2007-10-02 Mihaly Bencze , Florin Popovici , Florentin Smarandache

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…

Quantum Physics · Physics 2007-05-23 Chang-shui Yu , He-shan Song

We generalize the classical Minkowski integral inequality to the form involving general Banach function norms.

Functional Analysis · Mathematics 2017-05-10 Filip Soudský

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.

Complex Variables · Mathematics 2021-04-06 Ilgiz R Kayumov , Diana M. Khammatova , Saminathan Ponnusamy

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…

Analysis of PDEs · Mathematics 2018-02-20 Ifronika , Mochammad Idris , Al Azhary Masta , Hendra Gunawan

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…

Analysis of PDEs · Mathematics 2025-10-01 Franz Gmeineder , Endre Süli , Tabea Tscherpel

We obtain some new inequalities of Chebyshev Type.

Numerical Analysis · Mathematics 2016-10-03 Andriy L. Shidlich , Stanislav O. Chaichenko

We prove some new retarded integral inequalities. The results generalize those in [J. Math. Anal. Appl. 301 (2005), no. 2, 265--275].

Classical Analysis and ODEs · Mathematics 2009-04-18 Rui A. C. Ferreira , Delfim F. M. Torres

In this paper we obtain some existence result of solution for general variational inequalities. As applications several coincidence and fixed point results are provided.

Functional Analysis · Mathematics 2014-03-21 Alireza Amini-Harandi , Szilárd László