Analysis Mathematica

, Volume 38, Issue 4, pp 291–303 | Cite as

On a multidimensional version of the Hilbert type inequality

Article

Abstract

The main objective of this paper is a study of some new multidimensional Hilbert type inequalities with a general homogeneous kernel. We derive a pair of equivalent inequalities, and also establish the conditions under which the constant factors included in the obtained inequalities are the best possible. Some applications in particular settings are also considered.

Об одном многомерном варианте неравенства типа Гильберта

Реэюме

Основной целью работы является изучение новых многомерных неравенств типа Гильберта с общим однородным ядром. Получены пары эквивалентных неравенств и выяснены условия, при которых постоянные в этих соотношениях наилучшие. Рассмотрены и некоторые приложения общих результатов в конкретных частных случаях.

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References

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2012

Authors and Affiliations

  1. 1.Faculty of Electrical Engineering and ComputingZagrebCroatia
  2. 2.Faculty of Teacher EducationUniversity of ZagrebČakovecCroatia

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