POST-QUANTUM HERMITE-JENSEN-MERCER INEQUALITIES

Bohner M., Budak H., Kara H.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.53, no.1, pp.17-26, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1216/rmj.2023.53.17
  • Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.17-26
  • Kocaeli University Affiliated: No

Abstract

The Jensen-Mercer inequality, which is well known in the literature, has an important place in mathematics and related disciplines. In this work, we obtain the Hermite-Jensen-Mercer inequality for post-quantum integrals by utilizing Jensen-Mercer inequalities. Then we investigate the connections between our results and those in earlier works. Moreover, we give some examples to illustrate our main results. This is the first paper about Hermite-Jensen-Mercer inequalities for post-quantum integrals.