Work

Some Dynamic Inequalities via Diamond Integrals for Function of Several Variables

Year: 2021

Type: article

Abstract: In this paper, Jensen’s inequality and Fubini’s Theorem are extended for the function of several variables via diamond integrals of time scale calculus. These extensions are used to generalize Hardy-type inequalities with general kernels via diamond integrals for the function of several variables. Some Hardy Hilbert and Polya Knop type inequalities are also discussed as special cases. Classical and new inequalities are deduced from the main results using special kernels and particular time scales.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract5040207

Authors: Muhammad Bilal, Khuram Ali Khan, Hijaz Ahmad, Ammara Nosheen, Khalid Mahmood Awan, Sameh Askar, Mosleh Alharthi

Institutions: University of Sargodha, UniNettuno University, University of Lahore, King Saud University, Taif University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,728

OpenAlex ID: W3211934174

FWCI: 0.84

Cites: 20

Cited by: 7

Related to: 10