On some new trapezoidal inequalities for <i>q</i><SUP>ℵ2</SUP>-quantum integrals via Green function

Ali M. A., Alp N., Budak H., Agarwal P.

JOURNAL OF ANALYSIS, no.1, pp.15-33, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1007/s41478-021-00323-8
  • Journal Name: JOURNAL OF ANALYSIS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.15-33
  • Kocaeli University Affiliated: No

Abstract

In this paper, we first obtain a new identity for q(aleph 2)-quantum integrals by using Green function, the result is then used to establish some new bounds for the right hand side of q(aleph 2)-Hermite Hadamard inequality. It is also revealed that the results presented in this research transformed into some already proved results by considering the limits as q -> 1(-) in the newly obtained results.