Several inequalities For log-convex functions

ARDIÇ, MERVE; AKDEMİR, AHMET; Ozdemir, M.

doi:10.1016/j.trmi.2018.03.004

Several inequalities For log-convex functions

Atıf İçin Kopyala

ARDIÇ M. A., AKDEMİR A. O., Ozdemir M. E.

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, cilt.172, sa.2, ss.140-145, 2018 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 172 Sayı: 2
Basım Tarihi: 2018
Doi Numarası: 10.1016/j.trmi.2018.03.004
Dergi Adı: TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.140-145
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we recall Ostrowski's inequality, Hadamard's inequality and the definition of log-convex functions. We also mention an useful integral identity in the first part of our study. The second part of our study includes new results. We prove new generalizations for log-convex functions. Several new Ostrowski type inequalities have been established and some special cases have been given by choosing h = 0 or x = a+b/2 (C) 2018 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V.