Year: 2025
Type: article
Abstract: The article presents new inequalities of Hadamard-type which are obtained using fractional integral operators belonging to a function whose third-order derivative is convex. The proposed Hadamard-type inequalities have the potential for application in various areas where it is required to estimate the properties of functions with a convex third-order derivative. Examples of functions are given based on a comparative analysis of the estimates of the upper bounds of the Hadamard-type inequalities obtained using the classical and extended H¨older inequalities. Finally, applications to special functions are provided.
Authors: Bahtiyar Bayraktar, Saad Ihsan Butt, Péter Kórus
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7111313623