Applications of Alughte Transform for Berezin Radius Inequalities

– In functional analysis, linear operators induced by functions are frequently encountered; thesecontain Hankel operators, constitution operators, and Toeplitz operators. The symbol of the resultantoperator is another name for the inciting function. In many instances, a linear operator on a Hilbert spaceℋ results in a function on a subset of a topological space. As a result, we regularly investigate operatorsinduced by functions, and we may also investigate functions induced by operators. The Berezin sign is awonderful representation of an operator-function relationship. F. Berezin proposed the Berezin switch in[8], and it has proven to be a vital tool in operator theory given that it utilizes many essential aspects ofsignificant operators. Many mathematicians and physicists are fascinated by the Berezin symbol of anoperator defined on the functional Hilbert space. The Berezin radius inequality has been extensively studiedin this situation by a number of mathematicians. In this paper, we use the Alughte transform and thegeneralized Alughte transform to develop Berezin radius inequalities for Hilbert space operators. Weadditionally offer fresh Berezin radius inequality results. Huban et al. [15] and Başaran et al. [6] supply theBerezin radius inequality.