A Note on the New Ostrowski and Hadamard Type Inequalities via the Hölder–İşcan Inequality

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Yıldız Ç., Valdés J. E. N., Cotîrla L.

Axioms, cilt.12, sa.10, ss.1-15, 2023 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 10
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/axioms12100931
  • Dergi Adı: Axioms
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.1-15
  • Atatürk Üniversitesi Adresli: Evet

Özet

For all convex functions, the Hermite-Hadamard inequality is already well known in convex analysis. In this regard, Hermite-Hadamard and Ostrowski-type inequalities were obtained using exponential-type convex functions in this work. In addition, new generalizations were found for different values of θ. In conclusion, we believe that our work’s technique will inspire more study in this field.