Several inequalities Forlog-convex functions
| Autor: | Ahmet Ocak Akdemir, Merve Avci Ardic, M. Emin Özdemir |
|---|---|
| Přispěvatelé: | Belirlenecek, Akdemir, Ahmet Ocak -- 0000-0003-2466-0508 |
| Rok vydání: | 2018 |
| Předmět: |
Inequality
lcsh:Mathematics General Mathematics media_common.quotation_subject 010102 general mathematics Mathematics::Classical Analysis and ODEs Type (model theory) lcsh:QA1-939 01 natural sciences Holder inequality 010101 applied mathematics Combinatorics log-convex functions Identity (mathematics) Hermite-Hadamard inequality Logarithmically convex function Hadamard transform Ostrowski inequality 0101 mathematics Convex function media_common Mathematics |
| Zdroj: | Transactions of A. Razmadze Mathematical Institute, Vol 172, Iss 2, Pp 140-145 (2018) |
| ISSN: | 2346-8092 |
| Popis: | 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=0or x=a+b2. Keywords: log-convex functions, Ostrowski inequality, Hermite–Hadamard inequality, Hölder inequality |
| Databáze: | OpenAIRE |
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