New Refinements of Hermite-Hadamard Inequalities for Quantum Integrals

BUDAK H.

Journal of Nonlinear Modeling and Analysis, cilt.8, sa.1, ss.1-8, 2026 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.12150/jnma.2026.1
  • Dergi Adı: Journal of Nonlinear Modeling and Analysis
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1-8
  • Anahtar Kelimeler: Convex functions, Hermite-Hadamard inequality, quantum inte grals
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this study, we first introduce two functions including quantum integrals. Then, we prove some properties of these mappings such as convexity and monotony. Moreover, by using the newly defined mappings, we prove some refinements of the left hand side of Hermite-Hadamard inequality for left and right quantum integrals.