Approximation of functions in a certain Banach space by some generalized singular integrals
We introduced the $ q $-Picard, the $ q $-Picard-Cauchy, the $ q $-Gauss-Weierstrass, and the $ q $-truncated Picard singular integrals. Using the last three mentioned integrals, the orders of approximation for functions from a generalized Hölder space were determined, both in the $ L^{p} $-norm and...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://aimspress.com/article/doi/10.3934/math.2024166?viewType=HTML |