Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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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)
  • Received : 2018.02.23
  • Accepted : 2018.04.04
  • Published : 2018.05.30
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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.

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References

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