Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes

Sitthiwirattham T., Ali M. A., Budak H., Chasreechai S.

AIMS MATHEMATICS, cilt.6, sa.11, ss.11989-12010, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 11
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3934/math.2021695
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.11989-12010
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce the notions of q-mean square integral for stochastic processes and co-ordinated stochastic processes. Furthermore, we establish some new quantum Hermite-Hadamard type inequalities for convex stochastic processes and co-ordinated stochastic processes via newly defined integrals. It is also revealed that the results presented in this research transformed into some already proved results by considering the limits as q, q(1), q(2) -> 1(-) in the newly obtained results.