Jensen-Mercer Type Inequalities in the Setting of Fractional Calculus with Applications
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Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main objective of this paper is to establish some new variants of the Jensen-Mercer inequality via harmonically strongly convex function. We also propose some new fractional analogues of Hermite-Hadamard-Jensen-Mercer-like inequalities using AB fractional integrals. In order to obtain some of our main results, we also derive new fractional integral identities. To demonstrate the significance of our main results, we present some interesting applications to special means and to error bounds as well.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard-Mercer Inequality; Holder's Inequality; Riemann-Liouville Fractional Integrals; Harmonic Convex Function; Special Means; Error Estimation, Convex-Functions; Exponential Kernel; Hermite-Hadamard
Kaynak
Symmetry-Basel
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
14
Sayı
10