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Some Euler-Maclaurin-Type Inequalities by Means of Tempered Fractional Integrals

Year:    2024

Author:    Fatih Hezenci, Hüseyin Budak

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 930–948

Abstract

This paper introduces an equality that is valid for tempered fractional integrals. By using this equality, we establish some Euler-Maclaurin-type inequalities for the case of differentiable convex functions involving tempered fractional integrals. Furthermore, our results are provided by using special cases of obtained theorems.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2024.930

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 930–948

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Euler-Maclaurin-type inequality quadrature formulae tempered fractional integrals convex functions.

Author Details

Fatih Hezenci

Hüseyin Budak