Complementary inequalities to inequalities of Jensen and Ando based on the Mond–Peimageariimage method Original Research Article

Applying the Mond–Peimageariimage method to unital positive linear maps, we shall show several complementary inequalities to Jensenʹs inequalities on positive linear maps and consequently obtain complementary inequalities to Andoʹs inequalities associated with operator means. We shall apply them to obtain complementary estimates for the results by Ando, Aujla–Vasudeva and Fujii on Hadamard product and operator means.