Work

Analysis of Quantum Multiplicative Calculus and Related Inequalities

Year: 2025

Type: article

Abstract: This article investigates the exact meaning of a quantum derivative result and the corresponding definition of a quantum definite integral in multiplicative calculus from a geometrical viewpoint. After this critical analysis, we give an accurate definition of the q-multiplicative definite integral and the corresponding derivative result. Additionally, an example pertaining to q-multiplicative definite integrals is presented, and rigorous analysis to prove several fundamental results is provided. In addition, two other concepts are defined: the left q-multiplicative derivative and definite integral and the right q-multiplicative derivative and definite integral. Finally, several q-multiplicative Hermite–Hadamard-type inequalities are constructed, and related examples are shown to support our recent findings.

Source: Mathematics

DOI: 10.3390/math13213381

Authors: Muhammad Nasim Aftab, Saad Ihsan Butt, Mohammed Alammar, Youngsoo Seol

Institutions: University of Engineering and Technology Lahore, COMSATS University Islamabad, Shaqra University, Dong-A University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: National Research Foundation, Dong-A University, National Research Foundation of Korea