Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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INEQUALITIES FOR THE ARGUMENTS LYING ON LINEAR AND CURVED PATH

  • Nagaraja, K.M. (Department of Mathematics, J.S.S. Academy of Technical Education) ;
  • Araci, Serkan (Department of Economics, Faculty of Economics, Administrative and Social Sciences) ;
  • Lokesha, V. (Department of Studies in Mathematics, V. S. K.University) ;
  • Sampathkumar, R. (Department of Mathematics, R N S Institute of technology) ;
  • Vimala, T. (Department of Mathematics, School of Engineering and Technology, Jain University)
  • Received : 2020.05.23
  • Accepted : 2020.08.11
  • Published : 2020.12.25
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Abstract

The mathematical proof for establishing some new inequalities involving arithmetic, geometric, harmonic means for the arguments lying on the paths of triangular wave function (linear) and new parabolic function (curved) over the interval (0, 1) are discussed. The results representing an extension as well as strengthening of Ky Fan Type inequalities.

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Acknowledgement

The authors would like to thank the reviewers for careful reading of the paper.

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