On approximation and characterization of periodic multivariate functions which have a majorant of the mixed moduli of continuity of specific kind

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On the widths of multivariate periodic classes of functions whose mixed moduli of continuity are bounded by a product of power- and logarithmic-type functions ⋮ On best approximations by analogs of ``proper and ``improper hyperbolic crosses ⋮ Best approximation of periodic functions of several variables from the classes $ MB_{p,\theta}^\omega$ ⋮ Nonlinear wavelet approximation of periodic function classes with generalized mixed smoothness ⋮ Best approximations of periodic functions of several variables from the classes $B_{p,\theta}^{\Omega}$ ⋮ Approximation of functions in several variables from classes $H^{\Omega}_p$ by polynomials with respect to the Haar system ⋮ Estimates of the Fourier widths of the classes of periodic functions with given majorant of the mixed modulus of smoothness ⋮ Estimates of approximative characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables with given majorant of mixed moduli of continuity in the space $L_{q}$

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