AN EQUIVALENT PROPERTY OF A HILBERT-TYPE INTEGRAL INEQUALITY AND ITS APPLICATIONS

Applicable Analysis and Discrete Mathematics

article

B. Yang¹  D. Andrica²  O. Bagdasar³  M. Th. Rassias⁴ 

[1] Department of Mathematics, Guangdong University of Education;Faculty of Mathematics and Computer Science, Babe³-Bolyai University;School of Computing and Engineering, University of Derby;Department of Mathematics and Engineering Sciences

关键词: Hilbert-type integral inequality;    Weight function;    Equivalent form;    Operator;    Norm;   

DOI  :  10.2298/AADM220514025Y

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

Making use of complex analytic techniques as well as methods involvingweight functions, we study a few equivalent conditions of a Hilbert-type integral inequality with nonhomogeneous kernel and parameters. In the form ofapplications we deduce a few equivalent conditions of a Hilbert-type integralinequality with homogeneous kernel, and we additionally consider operatorexpressions.

【 授权许可】

Unknown