On Generalization of Midpoint and Trapezoid Type Inequalities Involving Fractional Integrals
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Dosyalar
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Islamic Azad Univ, Shiraz Branch
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we first give a lemma for twice differentiable function to obtain trapezoid and midpoint inequalities. By using this lemma, we establish some inequalities for mapping whose second derivatives in absolute value are convex via Riemann-Liouville fractional integrals. These results generalize the midpoint and trapezoid inequalities involving Riemann-Liouville fractional integrals given in earlier studies.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard inequality, midpoint in-equality, fractional integral operators, convex function, Hermite-Hadamard Type, S-Convex Functions, Differentiable Mappings, Real Numbers
Kaynak
Journal Of Mathematical Extension
WoS Q DeÄŸeri
N/A
Scopus Q DeÄŸeri
Cilt
14
Sayı
3
