New version of fractional Simpson type inequalities for twice differentiable functions
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Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Simpson inequalities for differentiable convex functions and their fractional versions have been studied extensively. Simpson type inequalities for twice differentiable functions are also investigated. More precisely, Budak et al. established the first result on fractional Simpson inequality for twice differentiable functions. In the present article, we prove a new identity for twice differentiable functions. In addition to this, we establish several fractional Simpson type inequalities for functions whose second derivatives in absolute value are convex. This paper is a new version of fractional Simpson type inequalities for twice differentiable functions.
Açıklama
Anahtar Kelimeler
Simpson type inequalities, Convex function, Fractional integrals, Integral-Inequalities, Convex-Functions
Kaynak
Advances In Difference Equations
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
2021
Sayı
1
