Some Results on Fractional Corrected Euler-Maclaurin-Type Inequalities Related to Various Function Classes

Küçük Resim Yok

Tarih

2025

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Global Science Press

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, some corrected Euler-Maclaurin-type inequalities are established by using various function classes involving Riemann-Liouville fractional integrals. We then present our findings using examples and special cases of the theorems that we have discovered. Moreover, we provide several fractional corrected Euler-Maclaurin-type for bounded functions. Additionally, for Lipschitzian functions, we create a few fractional corrected EulerMaclaurin-type inequalities. Lastly, we provide some fractional corrected Euler-Maclaurin-type inequalities for functions of bounded variation. © 2025, Global Science Press. All rights reserved.

Açıklama

Anahtar Kelimeler

convex functions, fractional calculus, Maclaurin’s formula, Quadrature formulae

Kaynak

Journal of Nonlinear Modeling and Analysis

WoS Q Değeri

Scopus Q Değeri

Q2

Cilt

7

Sayı

6

Künye