Generalized Fractional Integral Inequalities for (h,m,s)-Convex Modified Functions of Second Type

Nápoles J. E., BAYRAKTAR B.

Sahand Communications in Mathematical Analysis, cilt.21, sa.2, ss.69-82, 2024 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.22130/scma.2023.2002132.1323
  • Dergi Adı: Sahand Communications in Mathematical Analysis
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.69-82
  • Anahtar Kelimeler: Convex function, Hermite-Hadamard inequality, Hölder inequality, Power mean inequality
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

New variants of the Hermite - Hadamard inequality within the framework of generalized fractional integrals for (h, m, s)convex modified second type functions have been obtained in this article. To achieve these results, we used the Holder inequality and another form of it - power means. Some of the known results described in the literature can be considered as particular cases of the results obtained in our study.