Some New Results on Hermite-Hadamard-Mercer-Type Inequalities Using a General Family of Fractional Integral Operators

SET, ERHAN; Celik, Baris; ÖZDEMİR, MUHAMET; Aslan, Mucahit

doi:10.3390/fractalfract5030068

Some New Results on Hermite-Hadamard-Mercer-Type Inequalities Using a General Family of Fractional Integral Operators

SET E., Celik B., ÖZDEMİR M. E., Aslan M.

FRACTAL AND FRACTIONAL, cilt.5, sa.3, 2021 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 5 Sayı: 3
Basım Tarihi: 2021
Doi Numarası: 10.3390/fractalfract5030068
Dergi Adı: FRACTAL AND FRACTIONAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, Directory of Open Access Journals
Anahtar Kelimeler: convex function, Hermite-Hadamard inequalities, Jensen-Mercer inequality, fractional integral operators
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The aim of this article is to obtain new Hermite-Hadamard-Mercer-type inequalities using Raina's fractional integral operators. We present some distinct and novel fractional Hermite-Hadamard-Mercer-type inequalities for the functions whose absolute value of derivatives are convex. Our main findings are generalizations and extensions of some results that existed in the literature.