New inequalities for numerical radius w(A) of Hilbert space operators are derived via convex functions, generalizing and improving results by El-Haddad and Kittaneh, including a bound for r≥2.
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Refined numerical radius inequalities are proved for operators on Hilbert spaces using convex functions, including an integral form that extends and refines Kittaneh's result.
New inequalities bound the square of the numerical radius w(A) by the norm of an integral average of (t|A| + (1-t)|A*|) squared, itself bounded by half the norm of |A| squared plus |A*| squared.
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Further Inequalities for the Numerical Radius of Hilbert Space Operators
New inequalities for numerical radius w(A) of Hilbert space operators are derived via convex functions, generalizing and improving results by El-Haddad and Kittaneh, including a bound for r≥2.
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More accurate numerical radius inequalities (II)
Refined numerical radius inequalities are proved for operators on Hilbert spaces using convex functions, including an integral form that extends and refines Kittaneh's result.
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More accurate numerical radius inequalities
New inequalities bound the square of the numerical radius w(A) by the norm of an integral average of (t|A| + (1-t)|A*|) squared, itself bounded by half the norm of |A| squared plus |A*| squared.