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

YILDIZ, Çetin; Yergöz, Abdulvahid

doi:10.2298/fil2315149y

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, Scopus)

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.