In this article, we obtain several new weighted bounds for the numerical radius of a Hilbert space operator. The significance obtained results is way they generalize many existing in literature; where certain values weights imply some known results, or refinements these results. end, present examples that show how our refine well literature, related to topic.

 ‎Using several examples of positive definite functions‎, ‎some inequalities for the numerical radius of‎ ‎matrices are investigated‎. ‎Also‎, ‎some open problems are stated‎.

We obtain some inequalities related to the powers of numerical radius inequalities of Hilbert space operators. Some results that employ the Hermite-Hadamard inequality for vectors in normed linear spaces are also obtained. We improve and generalize some inequalities with respect to Specht's ratio. Among them, we show that, if $A, Bin mathcal{B(mathcal{H})}$ satisfy in some conditions, it follow...

in this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{t}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. we use a strong convolution technique and derive inclusion results. a radius problem and some other interesting properties of these classes are discussed.

flory fox, kurata-stockmayer, berry, inagaki-suzuki-kurata, stockmayer-fixman and ahmad-baloch methods based on the excluded volume theory have been applied to poly(vinyl chloride)-cyclohexanone system to obtain kq and the radius of gyration. a discussion on the reliability of these methods is given. the stockmayer-fixman and ahmad-baloch methods are found to be equally applicable.

ABSTRAer. In Ihis note we discusa sorne results oit numerical radius altaining operators paralleling carlier results Oit norm attaining operatora. Eorarbitrary Banach spacesXand Y, the set of (bounded, linear) operatora from Xto Ywhose adjoints altain [heir norms is norm-dense ita [hespaee of ah operators. This theorem. due toW. Zizíer, improves an earlier result by J. Lindenstrauss on the dens...