Maclaurin-type inequalities for Riemann-Liouville fractional integrals

Fatih Hezenci, Huseyin Budak

Abstract


In the present article, an equality is established by using the well-known Riemann-Liouville fractional integrals. With the aid of this equality, some Euler-Maclaurin-type inequalities are given in the case of differentiable convex functions. Moreover, we give an example using graphs in order to show that our main result is correct.

Keywords


Quadrature formulae; Maclaurin's formula; convex functions; fractional calculus

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References


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DOI: http://dx.doi.org/10.17951/a.2022.76.2.15-32
Date of publication: 2023-03-13 22:27:58
Date of submission: 2023-03-12 17:02:28


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