On Some New Fractional Type Heinz Inequalities

  • Authors:
  • Yu Mei Liao;Xuezhu Li;Jin Rong Wang

  • Affiliations:
  • School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, China;Department of Mathematics, Guizhou University, Guiyang, China;Department of Mathematics, Guizhou University, Guiyang, China

  • Venue:
  • International Journal of Advanced Pervasive and Ubiquitous Computing
  • Year:
  • 2013

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Abstract

The authors shall discuss Heinz inequalities involving Riemann-Liouville fractional integrals for certain unitarily invariant norms. By using the convexity of function and fractional Hermit-Hadamard integral inequality, some refinements of Heinz inequalities are derived.