Estimates of the Approximation Characteristics of the Classes $B^{\Omega}_{p,\theta}$ of Periodic Functions of Several Variables with Given Majorant of Mixed Moduli of Continuity
Abstract:
We obtain order-sharp estimates of the orthogonal projection widths of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables whose majorant of the mixed moduli of continuity contains both exponential and logarithmic multipliers.
Keywords:class $B^{\Omega}_{p,\theta}$ of periodic functions, orthogonal projection width, mixed modulus of continuity, Hölder's inequality, Minkowskii's inequality.