On new general inequalities for s-convex functions and their applications

Yıldız, Çetin; Yergoz, Busra; Yergoz, Abdulvahit

doi:10.1186/s13660-023-02914-4

Makale Tam Makale Uluslararası 2023 Açık erişimli

On new general inequalities for s-convex functions and their applications

Çetin Yıldız, Busra Yergoz, Abdulvahit Yergoz

JOURNAL OF INEQUALITIES AND APPLICATIONS Cilt 2023 · Sayı 1 · 01.01.2023

DOI ile aç

Özet

In this work, we established some new general integral inequalities of Hermite-Hadamard type for s-convex functions. To obtain these inequalities, we used the Holder inequality, power-mean integral inequality, and some generalizations associated with these inequalities. Also we compared some inequalities (e.g., Theorem 6 and Theorem 8). Finally, we gave some applications for special means.

Anahtar kelimeler

DERIVATIVES Hermite-Hadamard inequality Holder Inequality HADAMARD-TYPE INEQUALITIES s-Convex function Power-mean integral inequality HERMITE-HADAMARD

Atıf için künye

Yıldız, Ç., Yergoz, B., & Yergoz, A. (2023). On new general inequalities for s-convex functions and their applications. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023(1). https://doi.org/10.1186/s13660-023-02914-4

BibTeX

@article{yildiz2023-146755,
  author = {Yıldız, Çetin and Yergoz, Busra and Yergoz, Abdulvahit},
  title = {On new general inequalities for s-convex functions and their applications},
  journal = {JOURNAL OF INEQUALITIES AND APPLICATIONS},
  year = {2023},
  volume = {2023},
  number = {1},
  issn = {1029-242X},
  doi = {10.1186/s13660-023-02914-4},
  url = {https://akademik.atauni.edu.tr/yayinlar/146755-on-new-general-inequalities-for-s-convex-functions-and-their-applications}
}