Work

Dynamic Hardy-type inequalities with non-conjugate parameters

Year: 2020

Type: article

Abstract: Within this paper, we derive entire series of new Hilbert and Hardy-Hilbert form integral inequalities with non-conjugate exponents on time scales. Firstly, we demonstrate and discuss two general equivalent inequalities of this type, as well as their corresponding reverse inequalities. We also extend Hilbert and Hardy-Hilbert inequalities in their most general form. The results obtained are then applied to a kernel of special Hardy form. Our results as special cases extend some of the dynamic inequalities achieved on time scales and also include some integral inequalities as special cases when T=R.

Source: Alexandria Engineering Journal

DOI: 10.1016/j.aej.2020.08.004

Authors: Ghada AlNemer, M. Zakarya, H.A. Abd El-Hamid, M.R. Kenawy, H.M. Rezk

Institutions: Princess Nourah bint Abdulrahman University, Al-Azhar University, King Khalid University, Beni-Suef University, Fayoum University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,900

Funder: Princess Nourah Bint Abdulrahman University