Some new inequalities for convex functions via Riemann-Liouville fractional integrals

Gürbüz M., Yıldız Ç.

Applied Mathematics and Nonlinear Sciences, cilt.0, ss.1-8, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 0
  • Basım Tarihi: 2021
  • Doi Numarası: 10.2478/amns.2020.2.00015
  • Dergi Adı: Applied Mathematics and Nonlinear Sciences
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Applied Science & Technology Source, Compendex, zbMATH, DIALNET
  • Sayfa Sayıları: ss.1-8
  • Anahtar Kelimeler: Riemann-Liouville, Fractional calculus, Convexity
  • Atatürk Üniversitesi Adresli: Evet

Özet

Fractional analysis has evolved considerably over the last decades and has become popular in many technical and scientific fields. Many integral operators which ables us to integrate from fractional orders has been generated. Each of them provides different properties such as semigroup property, singularity problems etc. In this paper, firstly, we obtained a new kernel, then some new integral inequalities which are valid for integrals of fractional orders by using Riemann-Liouville fractional integral. To do this, we used some well-known inequalities such as Holder's inequality or power mean inequality. Our results generalize some inequalities exist in the literature.