Improvement in Some Inequalities via Jensen-Mercer Inequality and Fractional Extended Riemann-Liouville Integrals
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The primary intent of this study is to establish some important inequalities of the Hermite-Hadamard, trapezoid, and midpoint types under fractional extended Riemann-Liouville integrals (FERLIs). The proofs are constructed using the renowned Jensen-Mercer, power-mean, and Holder inequalities. Various equalities for the FERLIs and convex functions are construed to be the mainstay for finding new results. Some connections between our main findings and previous research on Riemann-Liouville fractional integrals and FERLIs are also discussed. Moreover, a number of examples are featured, with graphical representations to illustrate and validate the accuracy of the new findings.
Açıklama
Anahtar Kelimeler
fractional integrals, fractional inequalities, Jensen-Merce inequality, Convex-Functions
Kaynak
Axioms
WoS Q Değeri
Q1
Scopus Q Değeri
Q3
Cilt
12
Sayı
9
