New results on Hermite–Hadamard type inequalities via Caputo-Fabrizio fractional integral for s-convex function

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Küçük Resim

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

University of Nis

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The purposeiof thisiarticle is to construction Hermite–Hadamard itype inequalities viaiCaputo-Fabrizio fractional integralifor s-convexifunction. The results are applied to fractionalivariations of Hermite– Hadamarditype inequalities foridifferentiableimapping ? with s-convexiabsolute value derivatives. The findings also provide a new lemma for ?? and new limitsivia Caputo-Fabrizio fractionalioperator by using the well-knowniHölder’s integral inequalities. Moreover some new boundsifor applications of matrix and special means of different positive real numbers are also discussed. © 2023, University of Nis. All rights reserved.

Açıklama

Anahtar Kelimeler

Caputo-Fabrizio operator, Convex function, Hermite-Hadamard inequality, Hölder’s inequality, Power mean inequality, s-Convex function, Young’s inequality

Kaynak

Filomat

WoS Q Değeri

Q2

Scopus Q Değeri

Q3

Cilt

37

Sayı

15

Künye