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http://dx.doi.org/10.14317/jami.2018.245

NEW INEQUALITIES FOR GENERALIZED LOG h-CONVEX FUNCTIONS  

NOOR, MUHAMMAD ASLAM (Department of Mathematics, COMSATS Institute of Information Technology)
NOOR, KHALIDA INAYAT (Department of Mathematics, COMSATS Institute of Information Technology)
SAFDAR, FARHAT (Department of Mathematics, COMSATS Institute of Information Technology)
Publication Information
Journal of applied mathematics & informatics / v.36, no.3_4, 2018 , pp. 245-256 More about this Journal
Abstract
In the paper, we introduce some new classes of generalized logh-convex functions in the first sense and in the second sense. We establish Hermite-Hadamard type inequality for different classes of generalized convex functions. It is shown that the classes of generalized log h-convex functions in both senses include several new and known classes of log h convex functions. Several special cases are also discussed. Results proved in this paper can be viewed as a new contributions in this area of research.
Keywords
Generalized convex functions; generalized log h-convex functions; Hermite-Hadamard type inequalities;
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