On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals
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Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The present paper first establishes that an identity involving generalized fractional integrals is proved for differentiable functions by using two parameters. By utilizing this identity, we obtain several parameterized inequalities for the functions whose derivatives in absolute value are convex. Finally, we show that our main inequalities reduce to Ostrowski type inequalities, Simpson type inequalities and trapezoid type inequalities which are proved in earlier published papers.
Açıklama
Anahtar Kelimeler
convex function, generalized fractional integrals, Hermite-Hadamard inequalities, Simpson type inequalities, Hermite-Hadamard-Type
Kaynak
Mathematical Methods In The Applied Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
44
Sayı
17