Some New Approaches to Fractional Euler-Maclaurin-Type Inequalities via Various Function Classes

Küçük Resim Yok

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Mdpi

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper aims to examine an approach that studies many Euler-Maclaurin-type inequalities for various function classes applying Riemann-Liouville fractional integrals. Afterwards, our results are provided by using special cases of obtained theorems and examples. Moreover, several Euler-Maclaurin-type inequalities are presented for bounded functions by fractional integrals. Some fractional Euler-Maclaurin-type inequalities are established for Lipschitzian functions. Finally, several Euler-Maclaurin-type inequalities are constructed by fractional integrals of bounded variation.

Açıklama

Anahtar Kelimeler

quadrature formulae, Maclaurin's formula, convex functions, fractional calculus

Kaynak

Fractal And Fractional

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

8

Sayı

7

Künye