دورية أكاديمية

Improvement of inequalities related to powers of the numerical radius.

التفاصيل البيبلوغرافية
العنوان: Improvement of inequalities related to powers of the numerical radius.
المؤلفون: Khatib, Yaser, Shateyi, Stanford
المصدر: AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 7, p19089-19103, 15p
مصطلحات موضوعية: SCHWARZ inequality, HILBERT space, POSITIVE operators, LINEAR operators
مستخلص: We presented some improvements of the inequalities involving the numerical radius powers for products and sums of the operators investigated in the Hilbert space. We generalized and improved numerical radius inequalities with a generalization of the mixed Schwarz inequality. Among other things, with the help of a fraction and its power, as well as the introduction of ξ, we provided a very good improvement for the ωr(E), for E ∈ B(Hs). [ABSTRACT FROM AUTHOR]
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قاعدة البيانات: Complementary Index
الوصف
تدمد:24736988
DOI:10.3934/math.2024930