Further Inequalities for the Weighted Numerical Radius of Operators

This paper deals with the so-called A-numerical radius associated a positive (semi-definite) bounded linear operator A acting on complex Hilbert space H. Several new inequalities involving this concept are established. In particular, we prove several estimates for 2×2 matrices whose entries A-bounded operators. Some of obtained results cover and extend well-known recent due to Bani-Domi Kittaneh. addition, improvements generalized Kittaneh obtained. The given by Feki in his work represent generalization refinements also presented.