On the approximation of functions from Lp by some special matrix means of Fourier series
2015
scientific article
english
- degree of approximation
- Fourier series
- matrix means
EN The results corresponding to some theorems of S. Lal [Appl. Math. and Comput. 209 (2009), 346-350] and the results of W. Lenski and B. Szal [Banach Center Publ., 95, (2011), 339-351] are shown. The better degrees of pointwise approximation than these in mentioned papers by another assumptions on summability methods for considered functions are obtained. From presented pointwise results the estimation on norm approximation are derived. Some special cases as corollaries are also formulated.
81 - 90
CC BY-NC-ND (attribution - noncommercial - no derivatives)
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