Bibliographic Details
| Title: |
An estimate for the numerical radius of the Hilbert space operators and a numerical radius inequality. |
| Authors: |
Rashid, Mohammad H. M., Bani-Ahmad, Feras |
| Superior Title: |
AIMS Mathematics (2473-6988); 2023, Vol. 8 Issue 11, p26384-26405, 22p |
| Subject Terms: |
REAL numbers, SCHWARZ inequality, OPERATOR functions, CONVEX functions |
| Abstract: |
We provide a number of sharp inequalities involving the usual operator norms of Hilbert space operators and powers of the numerical radii. Based on the traditional convexity inequalities for nonnegative real numbers and some generalize earlier numerical radius inequalities, operator. Precisely, we prove that if Ai,Bi,Xi ∈ B(H) (i=1,2, · · ·,n),m∈ N, p,q > 1 with 1 p+1q = 1 and ϕ and ψ are non-negative functions on [0,∞) which are continuous such that ϕ(t)ψ(t) = t for all t ∈ [0,∞), then. [ABSTRACT FROM AUTHOR] |
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| Database: |
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