Work

Newton-type inequalities for the class of modified hyperbolic p-convex functions via Riemann-Liouville fractional integrals with numerical justifications

Year: 2026

Type: article

Abstract: In this paper, an identity involving Riemann-Liouville fractional integrals is established which serves as the basis for several new Newton-type inequalities involving the modified class of hyperbolic p-convex property of differentiable functions. Some new inequalities are also derived for functions of bounded variation. Examples along with graphs are provided to demonstrate the validity of the newly established inequalities, and the comparison with earlier results highlights their enhanced applicability and significance.

Source: PLoS ONE

DOI: 10.1371/journal.pone.0356882

Authors: Iqra Iqra, Ammara Nosheen, Khuram Ali Khan, Saima Riaz, Michael Kikomba Kahungu

Institution: University of Sargodha

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,382

OpenAlex ID: W7215071802

FWCI:

Cites: 14

Cited by:

Related to: 10