ON INEQUALITIES OF SIMPSON?S TYPE FOR CONVEX FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALS
Yükleniyor...
Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Fractional calculus and applications have application areas in many different fields such as physics, chemistry, and engineering as well as mathemat-ics. The application of arithmetic carried out in classical analysis in fractional analysis is very important in terms of obtaining more realistic results in the solution of many problems. In this study, we prove an identity involving gen-eralized fractional integrals by using differentiable functions. By utilizing this identity, we obtain several Simpson's type inequalities for the functions whose derivatives in absolute value are convex. Finally, we present some new results as the special cases of our main results.
Açıklama
Anahtar Kelimeler
Simpson Type Inequalities; Convex Function; Generalized Fractional Integrals, Hermite-Hadamard-Type
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
71
Sayı
3
