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Approximation of functions in a certain Banach space by some generalized singular integrals.
- Source :
- AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 2, p3386-3398, 13p
- Publication Year :
- 2024
-
Abstract
- 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 Holder space were determined, both in the L<superscript>p</superscript>-norm and in the generalized Holder-norm. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 9
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 175918001
- Full Text :
- https://doi.org/10.3934/math.2024166