Work

Generalization of some integral inequalities in multiplicative calculus with their computational analysis

Year: 2024

Type: article

Abstract: UDC 517.9 We focus on generalizing some multiplicative integral inequalities for twice differentiable functions. First, we derive a multiplicative integral identity for multiplicatively twice differentiable functions. Then, with the help of the integral identity, we prove a family of integral inequalities, such as Simpson, Hermite–Hadamard, midpoint, trapezoid, and Bullen types inequalities for multiplicatively convex functions. Moreover, we provide some numerical examples and computational analysis of these newly established inequalities to prove the validity of the results for multiplicatively convex functions. The generalized forms obtained in our research offer valuable tools for researchers in various fields.

Source: Ukrains’kyi Matematychnyi Zhurnal

DOI: 10.3842/umzh.v76i10.7765

Authors: Abdul Mateen, Zhiyue Zhang, Muhammad Aamir Ali, Michal Fečkan

Institutions: Nanjing Normal University, Slovak Academy of Sciences, Mathematical Institute of the Slovak Academy of Sciences, Comenius University Bratislava

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404082338

FWCI: 2.343

Cites: 22

Cited by: 3

Related to: 10