A note on fractional Simpson-like type inequalities for functions whose third derivatives are convex

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Tarih

2023

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Yayıncı

Univ Nis, Fac Sci Math

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, equality is established for Riemann-Liouville fractional integral. With the aid of this equality, it is proved some fractional Simpson-like type inequalities for functions whose third derivatives in absolute value are convex. By using special cases of the main results, previously obtained Simpson type inequalities are found for the Riemann-Liouville fractional integral. Furthermore, the mathematical example is presented to verify the newly established inequality.

Açıklama

Anahtar Kelimeler

Simpson Type Inequalities; Convex Function; Fractional Integrals; Third Derivative, Integral-Inequalities

Kaynak

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WoS Q Değeri

Q2

Scopus Q Değeri

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Cilt

37

Sayı

12

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