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We show the following result: Let A,B ∈ B (H) be two strictly positive operators such that A ≤ B and m1H ≤ B ≤ M1H for some scalars 0… Click to show full abstract
We show the following result: Let A,B ∈ B (H) be two strictly positive operators such that A ≤ B and m1H ≤ B ≤ M1H for some scalars 0 < m < M . Then B ≤ exp ( M1H −B M −m lnm + B −m1H M −m lnM ) ≤ K (m,M, p, q)A for p ≤ 0,−1 ≤ q ≤ 0 where K (m,M, p, q) is the generalized Kantorovich constant with two parameters. In addition, we obtain Kantorovich type inequalities for the chaotic order.
Keywords:
new kantorovich;
kantorovich type;
inequalities negative;
type inequalities;
negative parameters
Journal Title: Analysis Mathematica
Year Published: 2020
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Journal Title: Analysis Mathematica
Year Published: 2020
Link to full text (if available)
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recommendations!