An investigation into inequalities obtained through the new lemma for exponential type convex functions

YILDIZ Ç., Yergöz A.

Filomat, cilt.37, sa.15, ss.5149-5163, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 15
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2315149y
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.5149-5163
  • Anahtar Kelimeler: Exponential type convex functions, H?lder Inequality, H?lder-?s? can Inequality, HERMITE-HADAMARD TYPE
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we obtained a new general Lemma (Lemma 2.1) and proved some new integral inequalities for exponential type convex functions. To prove these inequalities, we used the Hölder, Hölderİşcan, Power Mean and Improved Power-Mean integral inequalities. Finally, some applications for special means were also given.