Degree of Approximation of Functions Class by the Means in the Hölder Metric

Figure 1

Graph of 𝑓(𝑥) (blue), 𝑠_𝑛(𝑥) (pink), 𝜎¹_𝑛(𝑥) (yellow), 𝑡^𝑁_𝑛(𝑓;𝑥) (green), 𝑛=5 and 10.

(a)

(b)