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

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YILDIZ Ç., Yergoz B., Yergoz A.

JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2023, sa.1, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2023 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1186/s13660-023-02914-4
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: s-Convex function, Hermite-Hadamard inequality, Holder inequality, Power-mean integral inequality, HADAMARD-TYPE INEQUALITIES, HERMITE-HADAMARD, DERIVATIVES
  • Atatürk Üniversitesi Adresli: Evet

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.