New Versions of Midpoint Inequalities Based on Extended Riemann-Liouville Fractional Integrals
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This study aims to prove some midpoint-type inequalities for fractional extended Riemann-Liouville integrals. Crucial equality is proven to build new results. Using this equality, several midpoint-type inequalities are established via differentiable convex functions and the proposed extended fractional operators. To be more specific, the well-known Holder, Jensen, and power mean integral inequalities are employed in the demonstrated inequalities. Additionally, many remarks based on specific selections of the main results are presented. Moreover, to illustrate the key conclusions, a few instances are provided.
Açıklama
Anahtar Kelimeler
fractional extended operators, midpoint inequalities, inequality of Hermite-Hadamard, Convex-Functions
Kaynak
Fractal And Fractional
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
7
Sayı
6
