Work

Fractional Hermite–Hadamard-Type Inequality for Interval-Valued cr-Convex Functions with Artificial Neural Network Analysis

Year: 2026

Type: article

Abstract: In this paper, a Hermite–Hadamard-type inequality for interval-valued functions is investigated within the framework of conformable fractional calculus. First, new results are established for cr-convex interval-valued functions by using the conformable fractional integral operator. Through appropriate choices of parameters, the obtained inequality covers and generalizes many known Hermite–Hadamard-type results. To illustrate the theoretical findings, an explicit numerical example is presented together with graphical representations. In addition, an artificial neural network (ANN) model is implemented as a computational approximation tool to investigate the center-radius forms of the left, middle, and right terms of the inequality across a broad parameter domain. The numerical outputs demonstrate the high predictive accuracy of the trained ANN model in approximating the analytical expressions.

Source: Symmetry

Authors: Ömer Ustaoğlu, Hüseyin Budak

Institutions: Kocaeli Üniversitesi, Saveetha University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Kocaeli Üniversitesi

Award: G1982912385