A NEW q-HERMITE-HADAMARD'S INEQUALITY AND ESTIMATES FOR MIDPOINT TYPE INEQUALITIES FOR CONVEX FUNCTIONS

Sitthiwirattham T., Ali M. A., Ali A., Budak H.

MISKOLC MATHEMATICAL NOTES, cilt.24, sa.3, ss.1555-1567, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.18514/mmn.2023.4200
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.1555-1567
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

This paper proves a new q-Hermite-Hadamard inequality for convex functions using quantum integrals. We also prove some new midpoint-type inequalities for q-differentiable con-vex functions. Moreover, we present some examples to illustrate our established results, supple-mented with graphs.