Some new dynamic Hardy-type inequalities with kernels involving monotone functions

被引：0
作者：
Samir H. Saker
Ahmed I. Saied
Mario Krnić
机构：
[1] Mansoura University,Department of Mathematics, Faculty of Science
[2] Benha University,Department of Mathematics, Faculty of Science
[3] University of Zagreb,Faculty of Electrical Engineering and Computing
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2020年 / 114卷
关键词：
Time scales; The weighted Hardy inequality; Kernel; Monotone function; Dynamic inequality; Primary 26D15; Secondary 47B38; 39A12;
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摘要：
The main objective of the present paper is an extension of several classical integral Hardy-type inequalities with kernels to a time scales setting. The established inequalities refer to a class of monotone functions and they are characterized by appropriate relations for the accompanying weight functions. As an application, we obtain the corresponding discrete Hardy-type inequalities for monotone sequences, which are essentially new.
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