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Analytical and Numerical Study of Newton-Type Inequalities for Differentiable $s$-Type Convex Functions via Riemann-Liouville Fractional Integrals

Year: 2026

Type: article

Abstract: This article investigates fractional Newton-type integral inequalities within the framework of $s$-type convexity. Employing a fundamental identity for Riemann-Liouville fractional integrals, new estimates are derived for functions whose derivatives satisfy $s$-type convexity conditions. Various test functions are examined, and graphical visualizations are provided to illustrate the effectiveness of the proposed estimates. It is emphasized that the established results extend the classical Newton-type inequalities to a wider class of functions, which are not necessarily convex. The outcomes of this investigation are expected to inspire further studies involving alternative fractional operators and broader convexity classes.

Source: Universal Journal of Mathematics and Applications

DOI: 10.32323/ujma.2032047

Authors: Saima Riaz, Khuram Ali Khan, Ghulam Abbas, Ammara Nosheen, Qurat Ul Ain Qurat Ul Ain

Institution: University of Sargodha

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7225449395

FWCI:

Cites: 23

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Related to: 10