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

Yıldız, Çetin; Valdés, Juan E. Nápoles; Cotîrla, Luminita-Ioana

doi:10.3390/axioms12100931

Makale Tam Makale Uluslararası 2023 Açık erişimli

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

Çetin Yıldız, Juan E. Nápoles Valdés, Luminita-Ioana Cotîrla

Axioms Cilt 12 · Sayı 10 · Makale no 931 · ss. 1–15 · 01.09.2023

DOI ile aç

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.

Atıf için künye

Yıldız, Ç., Valdés, J. E. N., & Cotîrla, L. (2023). A Note on the New Ostrowski and Hadamard Type Inequalities via the Hölder–İşcan Inequality. Axioms, 12(10), 1–15. https://doi.org/10.3390/axioms12100931

BibTeX

@article{yildiz2023-146751,
  author = {Yıldız, Çetin and Valdés, Juan E. Nápoles and Cotîrla, Luminita-Ioana},
  title = {A Note on the New Ostrowski and Hadamard Type Inequalities via the Hölder–İşcan Inequality},
  journal = {Axioms},
  year = {2023},
  volume = {12},
  number = {10},
  pages = {1--15},
  issn = {2075-1680},
  doi = {10.3390/axioms12100931},
  url = {https://akademik.atauni.edu.tr/yayinlar/146751-a-note-on-the-new-ostrowski-and-hadamard-type-inequalities-via-the-holder-iscan}
}