# Overlapping transformations for approximation of continuous functions by means of repeated mean Valle Poussin

### DOI: 10.31029/demr.8.8

On the basis of trigonometric sums of Fourier and classical means of Valle Poussin in this paper, repeated mean Valle Poussin is introduced as follows On the basis of the mean and overlapping transforms, operators that approximate continuous (in general, nonperiodic) functions are constructed and their approximative properties are investigated.

Keywords: the repeated mean Valle Poussin, overlapping transforms, local approximative properties.

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