Half-Discrete Hilbert-Type Inequalities

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  • Engels
  • Hardcover
  • 9789814504973
  • 19 februari 2014
  • 333 pagina's
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Samenvatting

In 1934, G. H. Hardy et al. published a book entitled Inequalities , in which a few theorems about Hilbert-type inequalities with homogeneous kernels of degree-one were considered. Since then, the theory of Hilbert-type discrete and integral inequalities is almost built by Prof. Bicheng Yang in their four published books.This monograph deals with half-discrete Hilbert-type inequalities. By means of building the theory of discrete and integral Hilbert-type inequalities, and applying the technique of Real Analysis and Summation Theory, some kinds of half-discrete Hilbert-type inequalities with the general homogeneous kernels and non-homogeneous kernels are built. The relating best possible constant factors are all obtained and proved. The equivalent forms, operator expressions and some kinds of reverses with the best constant factors are given. We also consider some multi-dimensional extensions and two kinds of multiple inequalities with parameters and variables, which are some extensions of the two-dimensional cases. As applications, a large number of examples with particular kernels are also discussed.The authors have been successful in applying Hilbert-type discrete and integral inequalities to the topic of half-discrete inequalities. The lemmas and theorems in this book provide an extensive account of these kinds of inequalities and operators. This book can help many readers make good progress in research on Hilbert-type inequalities and their applications.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Hardcover
Oorspronkelijke releasedatum
19 februari 2014
Aantal pagina's
333
Illustraties
Nee

Betrokkenen

Hoofdauteur
Bicheng Yang
Tweede Auteur
Lokenath Debnath

Overige kenmerken

Extra groot lettertype
Nee
Product breedte
159 mm
Product hoogte
25 mm
Product lengte
235 mm
Studieboek
Nee
Verpakking breedte
159 mm
Verpakking hoogte
25 mm
Verpakking lengte
235 mm
Verpakkingsgewicht
658 g

EAN

EAN
9789814504973

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