Quantum Inequalities of Hermite-Hadamard Type for <i>r</i>-Convex Functions

You X., Kara H., Budak H., Kalsoom H.

JOURNAL OF MATHEMATICS, cilt.2021, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2021
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1155/2021/6634614
  • Dergi Adı: JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this present study, we first establish Hermite-Hadamard type inequalities for r-convex functions via (q)(k2)-definite integrals. Then, we prove some quantum inequalities of Hermite-Hadamard type for product of two r-convex functions. Finally, by using these established inequalities and the results given by (Brahim et al. 2015), we prove several quantum Hermite-Hadamard type inequalities for coordinated r-convex functions and for the product of two coordinated r-convex functions.