QUANTUM HERMITE-HADAMARD TYPE INEQUALITIES AND RELATED INEQUALITIES FOR SUBADDITIVE FUNCTIONS


Ali M. A., Sarikaya M. Z., Budak H., Zhang Z.

MISKOLC MATHEMATICAL NOTES, cilt.24, sa.1, ss.5-13, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.18514/mmn.2023.3769
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.5-13
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this work, Hermite-Hadamard type inequalities for subadditive functions via quantum integrals are established. Moreover, Hermite-Hadamard type inequalities for the product of two subadditive functions are also obtained. It is worth to mentioning that some existing inequalities of Hermite-Hadamard type for subadditive functions are obtained by considering the limit of the real number q ? (0, 1) as q ? 1(-) in the key results.