Fractional Euler-Maclaurin-type inequalities for various function classes

Küçük Resim Yok

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Heidelberg

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper investigates a technique that uses Riemann-Liouville fractional integrals to study several Euler-Maclaurin-type inequalities for various function classes. Afterwards, we provide our results by using special cases of obtained theorems and This paper is to derive examples. Moreover, we give some Euler-Maclaurin-type inequalities for bounded functions by fractional integrals. Furthermore, we construct some fractional Euler-Maclaurin-type inequalities for Lipschitzian functions. Finally, we offer some Euler-Maclaurin-type inequalities by fractional integrals of bounded variation.

Açıklama

Anahtar Kelimeler

Quadrature formulae, Maclaurin's formula, Convex functions, Fractional calculus

Kaynak

Computational & Applied Mathematics

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

43

Sayı

4

Künye