Jensen-Mercer Type Inequalities in the Setting of Fractional Calculus with Applications

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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

Künye