On Hermite-Hadamard type inequalities for newly defined generalized quantum integrals

Kara H., Budak H.

RICERCHE DI MATEMATICA, cilt.73, sa.2, ss.1145-1166, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s11587-021-00662-5
  • Dergi Adı: RICERCHE DI MATEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1145-1166
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we first introduce four new generalized quantum integrals of two variables functions which are called T-q-integrals. We also give some examples of each of these given integrals. Then we establish corresponding T-q-Hermite-Hadamard type inequalities for co-ordinated convex functions. In order to show correctness of our results, we apply our main theorems to several co-ordinated convex functions.