Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes

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

AIMS MATHEMATICS, vol.6, no.11, pp.11989-12010, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 11
  • Publication Date: 2021
  • Doi Number: 10.3934/math.2021695
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.11989-12010
  • Kocaeli University Affiliated: No

Abstract

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.