Work

Remarks on Inequalities With Parameter by Conformable Fractional Integrals

Year: 2024

Type: article

Abstract: We prove that an equation holds for differentiable convex functions, and this result has been derived using conformable integrals. With the help of this equality, several parameterized inequalities are established by using the conformable fractional integrals. Namely, we show that our main inequalities reduce to Ostrowski-, Hermite–Hadamard-, Simpson-, and Bullen-type inequalities which are proved in earlier published papers. More precisely, some inequalities are acquired by taking advantage of the convexity, the Hölder, and the power mean inequalities. Finally, examples are given to illustrate the investigated results.

Source: Fractals

DOI: 10.1142/s0218348x24501378

Authors: FATIH HEZENCI, MIGUEL VIVAS-CORTEZ, HÜSEYIN BUDAK

Institutions: Düzce Üniversitesi, Pontificia Universidad Católica del Ecuador

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4403202644

FWCI: 1.562

Cites: 34

Cited by: 2

Related to: 10