Quantum Hermite-Hadamard and quantum Ostrowski type inequalities for <i>s</i>-convex functions in the second sense with applications

Asawasamrit S., Ali M. A., Budak H., Ntouyas S. K., Tariboon J.

AIMS MATHEMATICS, sa.12, ss.13327-13346, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3934/math.2021771
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.13327-13346
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this study, we use quantum calculus to prove Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in the second sense. The newly proven results are also shown to be an extension of comparable results in the existing literature. Furthermore, it is provided that how the newly discovered inequalities can be applied to special means of real numbers.