On approximation by trigonometrical polynomials in $$$L_2$$$ space

O.V. Polyakov (Oles Honchar Dnipropetrovsk National University)


We obtain certain inequalities of Jackson type, connecting the value of the best approximation of periodic differentiable functions and the generalized modulus of continuity of the highest derivative.


best approximation; modulus of continuity


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DOI: https://doi.org/10.15421/241614



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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991