Work

New Generalized Extended Hardy-type Dynamic Inequalities on Time Scales

Year: 2024

Type: article

Abstract: This research will demonstrate several novel dynamic inequalities of the Hardy type on time scales. These inequalities will be generalized and expanded. Several new integral and difference inequalities are produced as a consequence of our findings in both continuous and discrete scenarios. The dynamic Holder ¨ inequality, the integration by parts formula on time scales, and Keller’s chain rule on time scales will be utilized to demonstrate the primary findings. To apply the primary findings, we shall employ discrete calculus, quantum calculus, and continuous calculus and treat them as special cases.

Source: Babylonian Journal of Mathematics

DOI: 10.58496/bjm/2024/019

Authors: Muhammad Saqib, Muzammil Saleem, Shahid Hasnain

Institutions: Khwaja Fareed University of Engineering and Information Technology, University of Chakwal

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407005918

FWCI: 0.781

Cites:

Cited by: 1

Related to: 10