Fractional inequalities of corrected Euler-Maclaurin-type for twice-differentiable functions
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Dosyalar
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, an identity is proved for the case of twice-differentiable functions whose second derivatives in absolute value are convex. With the help of this equality, several corrected Euler-Maclaurin-type inequalities are established using the Riemann-Liouville fractional integrals. Several important fractional inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. Furthermore, the results are presented using special cases of obtained theories.
Açıklama
Anahtar Kelimeler
Quadrature Formulae; Maclaurin's Formula; Convex Functions; Fractional Calculus
Kaynak
Computational & Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
42
Sayı
2
