A conceptually simple method for derivation of lower bounds on the error exponent of specific families of block codes used on classical-quantum channels with arbitrary signal states over a finite Hilbert space is presented. It is shown that families of binary block codes with appropriately rescaled binomial multiplicity enumerators used on binary classical-quantum channels and decoded by the su...

We have defined the variable exponent of Cesàro complex function space formal power series. constructed prequasi-ideal generated by s -numbers and this new functions. present some topological geometric structures class ideal. The existence Caristi’s fixed point is examined. Some properties related to theory are presented...

Deep learning has achieved notable success in various fields, including image and speech recognition. One of the factors successful performance deep is its high feature extraction ability. In this study, we focus on adaptivity learning; consequently, treat variable exponent Besov space, which a different smoothness depending input location x. other words, difficulty estimation not uniform withi...