Some Hermite-Hadamard Type Inequalities with the Aid of Newly Defined Double Post-Quantum Integrals

Kara H., BUDAK H., Hezenci F., Awan M. U.

Journal of Nonlinear Modeling and Analysis, cilt.7, sa.5, ss.1683-1703, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 5
  • Basım Tarihi: 2025
  • Doi Numarası: 10.12150/jnma.2025.1683
  • Dergi Adı: Journal of Nonlinear Modeling and Analysis
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1683-1703
  • Anahtar Kelimeler: co-ordinated convexity, Hermite-Hadamard inequality, q-integral, quantum calculus, Tq-integral
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In the present paper, we first give four post-quantum integrals for functions of two variables, denoted by (Formula Presented). Afterwards, each of these newly defined integrals is illustrated. Moreover, some new Hermite-Hadamard inequalities are established based on these definitions. We also show the correctness of these inequalities with the aid of some numerical examples.