On Some Multidimensional Hilbert-Type Inequalities in the Discrete Case

• Datum: 2013
• Hauptverfasser: Krnić, M., Vuković, P., Крнич, М., Вукович, П.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2465
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Motivated by the results of Huang, we deduce a pair of discrete multidimensional Hilbert-type inequalities involving a homogeneous kernel of negative degree. We also establish conditions under which the constant factors involved in the established inequalities are the best possible. Finally, we cons...