POST-QUANTUM HERMITE-JENSEN-MERCER INEQUALITIES

Bohner M., Budak H., Kara H.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.53, sa.1, ss.17-26, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1216/rmj.2023.53.17
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.17-26
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

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.