Maclaurin-type inequalities for Riemann–Liouville fractional integrals

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Hezenci F., BUDAK H.

Annales Universitatis Mariae Curie-Sklodowska, sectio A - Mathematica, cilt.76, sa.2, ss.15-32, 2022 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 76 Sayı: 2
• Basım Tarihi: 2022
• Doi Numarası: 10.17951/a.2022.76.2.15-32
• Dergi Adı: Annales Universitatis Mariae Curie-Sklodowska, sectio A - Mathematica
• Derginin Tarandığı İndeksler: Scopus
• Sayfa Sayıları: ss.15-32
• Anahtar Kelimeler: convex functions, fractional calculus, Maclaurin’s formula, Quadrature formulae
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Kocaeli Üniversitesi Adresli: Evet

Özet

In the present article, an equality is established by using the wellknown Riemann–Liouville fractional integrals. With the aid of this equality, some Euler–Maclaurin-type inequalities are given in the case of differentiable convex functions. Moreover, we give an example using graphs in order to show that our main result is correct.