Abstract
In the space L2, we study a number of smoothness characteristics of functions; our study is based on the use of the generalized shift operator τh. For the case inwhich τ is the Steklov operator S, we obtain exact constants in Jackson-type inequalities for some classes of 2π-periodic functions. We also calculate the exact values of the n-widths of function classes defined by the smoothness characteristics under consideration.
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