Publication: Several inequalities for log-convex functions
Date
Authors
Özdemir, M. Emin
Authors
Ardıç, Merve Avcı
Akdemir, Ahmet Ocak
Advisor
Language
Type
Publisher:
Elsevier Science Bv
Journal Title
Journal ISSN
Volume Title
Abstract
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
Description
Source:
Keywords:
Keywords
Hadamards inequality, Log-convex functions, Ostrowski inequality, Hermite-hadamard inequality, Holder inequality, Science & technology, Physical sciences, Mathematics