JOURNAL ARTICLE

Inequalities for Riemann–Liouville fractional integrals in co-ordinated convex functions: A Newton-type approach.

Published In: Mathematica Slovaca, 2025, v. 75, n. 5. P. 1077 1 of 3
Database: Academic Search Ultimate 2 of 3
Authored By: Karagözoglu, Pinar; Hezenci, Fatih; Budak, Hüseyin 3 of 3

Abstract

In this paper, we first establish a novel integral identity involving functions of two variables by using the Riemann–Liouville fractional integrals. By taking the modulus of this newly derived identity, we obtain a new form of Newton-type inequality specifically for differentiable co-ordinated convex functions. Moreover, we give example using graph in order to show that our main results are correct. In addition, we derive several new inequalities by employing Hölder's inequality. Furthermore, we present previously achieved results and new results by using special cases of the obtained theorems. These results not only extend existing inequalities in the literature but also offer new insights into the interplay between fractional calculus and convex analysis. [ABSTRACT FROM AUTHOR]

Additional Information

Source:Mathematica Slovaca. 2025/10, Vol. 75, Issue 5, p1077
Document Type:Article
Subject Area:Mathematics
Publication Date:2025
ISSN:0139-9918
DOI:10.1515/ms-2025-0080
Accession Number:188875256
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