Quadratic $rho$-functional inequalities in $beta$-homogeneous normed spaces

Authors

  • Choonkil Park Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea
  • Dong Yun Shin Department of Mathematics, University of Seoul, Seoul 130-743, Korea.
  • Jung Rye Lee Department of Mathematics, Daejin University, Kyeonggi 487-711, Korea
  • Sang Og Kim Department of Mathematics, Hallym University, Chuncheon 200-7021, Korea
Abstract:

In cite{p}, Park introduced the quadratic $rho$-functional inequalitiesbegin{eqnarray}label{E01}&& |f(x+y)+f(x-y)-2f(x)-2f(y)| \ && qquad le  left|rholeft(2 fleft(frac{x+y}{2}right) + 2 fleft(frac{x-y}{2}right)- f(x) -  f(y)right)right|,  nonumberend{eqnarray}where $rho$ is a fixed complex number with $|rho|

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Journal title

volume 6  issue 2

pages  21- 26

publication date 2015-08-05

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