Browsing by Author "Set, Erhan"

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Citation - WoS: 3
Citation - Scopus: 29
New Extensions of Hermite-Hadamard Inequalities Via Generalized Proportional Fractional Integral
(Wiley, 2024) Mumcu, Ilker; Set, Erhan; Akdemir, Ahmet Ocak; Jarad, Fahd
The main aim this work is to give Hermite-Hadamard inequalities for convex functions via generalized proportional fractional integrals. We also obtained extensions of Hermite-Hadamard type inequalities for generalized proportional fractional integrals.
Citation - WoS: 22
Citation - Scopus: 23
Ostrowski Type Inequalities Via New Fractional Conformable Integrals
(Amer inst Mathematical Sciences-aims, 2019) Set, Erhan; Akdemir, Ahmet Ocak; Gozpinar, Abdurrahman; Jarad, Fahd
In this present study, firstly, some necessary definitions and some results related to Riemann-Liouville fractional and new fractional conformable integral operators defined by Jarad et al. [13] are given. As a second, a new identity has been proved. By using this identity, new Ostrowski type inequalities has obtained involving fractional conformable integral operators. Also, some new inequalities has established for AG-convex functions via fractional conformable integrals in this study. Relevant connections of the results presented here with those earlier ones are also pointed out.
New extensions of Hermite–Hadamard inequalities via generalized proportional fractional integral
(2021) Mumcu, İlker; Set, Erhan; Akdemir, Ahmet Ocak; Jarad, Fahd
The main aim this work is to give Hermite–Hadamard inequalities for convex functions via generalized proportional fractional integrals. We also obtained extensions of Hermite–Hadamard type inequalities for generalized proportional fractional integrals. © 2021 Wiley Periodicals LLC