Academic Journal

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

التفاصيل البيبلوغرافية
العنوان: Some New Results on Hermite–Hadamard–Mercer-Type Inequalities Using a General Family of Fractional Integral Operators
المؤلفون: Erhan Set, Barış Çelik, M. Emin Özdemir, Mücahit Aslan
المصدر: Fractal and Fractional; Volume 5; Issue 3; Pages: 68
بيانات النشر: Multidisciplinary Digital Publishing Institute
سنة النشر: 2021
المجموعة: MDPI Open Access Publishing
مصطلحات موضوعية: convex function, Hermite–Hadamard inequalities, Jensen–Mercer inequality, fractional integral operators
الوصف: 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.
نوع الوثيقة: text
وصف الملف: application/pdf
اللغة: English
Relation: General Mathematics, Analysis; https://dx.doi.org/10.3390/fractalfract5030068
DOI: 10.3390/fractalfract5030068
الاتاحة: https://doi.org/10.3390/fractalfract5030068
Rights: https://creativecommons.org/licenses/by/4.0/
رقم الانضمام: edsbas.66958E1E
قاعدة البيانات: BASE
الوصف
DOI:10.3390/fractalfract5030068