Some generalized Ostrowski type inequalities for functions whose second derivatives absolute values are convex and applications

ERDEM, YUSUF; Budak, HÜSEYİN; Ogunmez, Hasan

doi:10.1016/j.trmi.2017.06.002

Some generalized Ostrowski type inequalities for functions whose second derivatives absolute values are convex and applications

ERDEM Y. S., Budak H., Ogunmez H.

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, sa.3, ss.316-327, 2017 (ESCI)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2017
Doi Numarası: 10.1016/j.trmi.2017.06.002
Dergi Adı: TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.316-327
Kocaeli Üniversitesi Adresli: Hayır

Özet

We first establish some Ostrowski type inequalities for mappings whose second derivatives absolute values are convex. Then we give some special cases of these inequalities which provide extensions of those given in earlier works. Finally, some applications of these inequalities for special means are also provided. (C) 2017 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license