Several inequalities For log-convex functions

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AVCI ARDIÇ M., AKDEMİR A. O., ÖZDEMİR M. E.

Transactions of A. Razmadze Mathematical Institute, cilt.172, sa.2, ss.140-145, 2018 (ESCI, Scopus)

• 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.