A study of improved error bounds for Simpson type inequality via fractional integral operator
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Nis
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Fractional integral operators have been studied extensively in the last few decades, and many different types of fractional integral operators have been introduced by various mathematicians. In 1967 Michele Caputo introduced Caputo fractional derivatives, which defined one of these fractional operators, the Caputo Fabrizio fractional integral operator. The main aim of this article is to established the new integral equalities related to Caputo-Fabrizio fractional integral operator. By incorporating this identity and convexity theory to obtained a novel class of Simpson type inequality. In this paper, we present a novel generalization of Simpson type inequality via s-convex and quasi-convex functions. Then, utilizing this identity the bounds of classical Simpson type inequality is improved. Finally, we discussed some applications to Simpson's quadrature rule. © 2024, University of Nis. All rights reserved.
Açıklama
Anahtar Kelimeler
Fractional integrals, Hölder's inequality, Power-mean inequality, s-convex function, Simpson type inequalities
Kaynak
Filomat
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
38
Sayı
10
