MMN-4514

Some Newton's inequalities on co-ordinates for Riemann-Liouville fractional integrals

Fatih Hezenci; Tuba Tunç; Hüseyin Budak; Muhammad Aamir Ali;

Abstract

In this paper, we give an identity involving Riemann-Liouville fractional integrals and partially di erentiable function of two variables. Then, we use the newly established identity and prove some new Newton's type inequalities for di erentiable co-ordinated convex functions. We also recapture some existing inequalities and obtain some new inequalities in the special cases of newly established results. Furthermore, we present an example with graphs to illustrate the obtained main result.


Vol. 26 (2025), No. 2, pp. 825-849
DOI: https://doi.org/10.18514/MMN.2025.4514


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