Work

Computational Analysis of Newton-Type Inequalities for Differentiable Strongly Convex Functions via RL-Integrals

Year: 2026

Type: article

Abstract: In this paper, new generalizations of Newton-type inequalities for the class of strongly convex functions by utilizing Riemann–Liouville fractional integrals are established. New estimates are obtained for functions that are strongly convex. The established inequalities are further improved. Examples, along with graphs, are provided to demonstrate the validity of the newly established inequalities and comparisons with existing results. It is expected that the results of this paper will open up new avenues of research and may be generalized to other types of fractional operators and generalized convex functions.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract10050341

Authors: Ghulam Abbas, Saima Riaz, Tamador Alihia, Khuram Ali Khan, Saba Yasmin, Ramy M. Hafez

Institutions: Qassim University, University of Sargodha, Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funder: Qassim University