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

Yıldız, Çetin; Yergöz, Abdulvahid

doi:10.2298/fil2315149y

Makale Tam Makale Uluslararası 2023

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

Çetin Yıldız, Abdulvahid Yergöz

FILOMAT Cilt 37 · Sayı 15 · ss. 5149–5163 · 01.01.2023

DOI ile aç

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.

Anahtar kelimeler

Holder Inequality Exponential type convex functions H?lder Inequality H?lder-?s? can Inequality HERMITE-HADAMARD TYPE Hölder-İşcan Inequality

Atıf için künye

Yıldız, Ç., & Yergöz, A. (2023). An investigation into inequalities obtained through the new lemma for exponential type convex functions. FILOMAT, 37(15), 5149–5163. https://doi.org/10.2298/fil2315149y

BibTeX

@article{yildiz2023-146739,
  author = {Yıldız, Çetin and Yergöz, Abdulvahid},
  title = {An investigation into inequalities obtained through the new lemma for exponential type convex functions},
  journal = {FILOMAT},
  year = {2023},
  volume = {37},
  number = {15},
  pages = {5149--5163},
  issn = {0354-5180},
  doi = {10.2298/fil2315149y},
  url = {https://akademik.atauni.edu.tr/yayinlar/146739-an-investigation-into-inequalities-obtained-through-the-new-lemma-for}
}