MORE CHEBYSHEV TYPE INEQUALITIES REGARDING OPERATORMEANS AND HADAMARD PRODUCT

In this paper, we obtain some improved reverses of Chebyshev type inequalities for Hilbert space operators.We apply the property of means for operator means to get several new inequalities. Let A be a C -algebra,T be a compact Hasudorff space equipped with a Radon measure being also a totally ordered set, let(At)t۲T ; (Bt)t۲T be positive increasing field in C(T;A), let : T ! [۰;+۱) be a measurable function and be an operator mean with the super-multiplicative representing function. Then(...)