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

Fractal and Fractional 2026 Open access

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Authors: Ghulam Abbas, Saima Riaz, Tamador Alihia, Khuram Ali Khan, Saba Yasmin, Ramy M. Hafez
DOI: 10.3390/fractalfract10050341
Cited by: 1
References: 18

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.

Fields of Study & Subjects

Mathematical Inequalities and Applications Optimization and Variational Analysis Nonlinear Differential Equations Analysis

Publication details

Journal / source
Fractal and Fractional
Publisher
MDPI AG
Volume
10
Issue
5
Pages
341–341
Publication date
18 May 2026
Language
EN