Some Properties of the Tsallis Relative Operator φ-Entropy
DOI:
https://doi.org/10.15407/mag17.02.216Ключові слова:
перспективна функція, узагальнена перспективна функція, відносна операторна ентропія Цалліса, відносна операторна $\varphi$-ентропія ЦаллісаАнотація
У цій роботі ми вводимо поняття відносної операторної $\varphi$-ентропії Цалліса між двома суворо позитивними операторами і перевіряємо її властивості, такі як спільна опуклість, спільна субадитивність та монотонність. Ми також наводимо операторну нерівність типу Шеннона та обернену нерівність, які задовольняє відносна операторна $\varphi$-ентропія Цалліса.Mathematics Subject Classification: 81P45, 15A39, 47A63, 15A42, 81R15
Посилання
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