We consider in this paper two different types of the weighted geometric means positive definite operators. show component-wise bijection these and give a property spectral mean as metric midpoint. Moreover, several interesting inequalities related with operators will be shown. also see meaning gyrogroup structure finite dimension find formulas 2-by-2 matrices density matrices.

Complex intuitionistic fuzzy sets (CIFSs), characterized by complex-valued grades of membership and non-membership, are a generalization standard (IF) that better speak to time-periodic issues handle two-dimensional data in solitary set. Under this environment, article, various mean-type operators, namely complex IF Bonferroni means (CIFBM) weighted mean (CIFWBM) pr...

We present the generalized hybrid averaging (GHA) operator. It is a new aggregation operator that generalizes the hybrid averaging (HA) operator by using the generalized mean. Thus, we are able to generalize a wide range of mean operators such as the HA, the hybrid geometric averaging (HGA), the hybrid quadratic averaging (HQA), the generalized ordered weighted averaging (GOWA) operator and the...

in this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted dirichlet spaces or bloch type spaces to $q_k$ type spaces.