Degree of approximation of continuous functions by some singular integrals
The main aim of this paper is to obtain error bounds in terms of higher order moduli of smoothness, for approximation by singular integrals of Picard, Poisson-Cauchy and Gauss-Weierstrass type.
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
1998-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/622 |
| _version_ | 1811294000882122752 |
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| author | Sorin G. Gal |
| author_facet | Sorin G. Gal |
| author_sort | Sorin G. Gal |
| collection | DOAJ |
| description | The main aim of this paper is to obtain error bounds in terms of higher order moduli of smoothness, for approximation by singular integrals of Picard, Poisson-Cauchy and Gauss-Weierstrass type. |
| first_indexed | 2024-04-13T05:10:45Z |
| format | Article |
| id | doaj.art-3a12fce130324a8da92ebcf654303b5b |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-13T05:10:45Z |
| publishDate | 1998-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-3a12fce130324a8da92ebcf654303b5b2022-12-22T03:01:02ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X1998-08-01272Degree of approximation of continuous functions by some singular integralsSorin G. Gal0University of Oradea, RomaniaThe main aim of this paper is to obtain error bounds in terms of higher order moduli of smoothness, for approximation by singular integrals of Picard, Poisson-Cauchy and Gauss-Weierstrass type.https://www.ictp.acad.ro/jnaat/journal/article/view/622PicardPoisson-Cauchy and Gauss Weierstrass singular integralsdegree of approximationhigher order modulus of smoothness |
| spellingShingle | Sorin G. Gal Degree of approximation of continuous functions by some singular integrals Journal of Numerical Analysis and Approximation Theory Picard Poisson-Cauchy and Gauss Weierstrass singular integrals degree of approximation higher order modulus of smoothness |
| title | Degree of approximation of continuous functions by some singular integrals |
| title_full | Degree of approximation of continuous functions by some singular integrals |
| title_fullStr | Degree of approximation of continuous functions by some singular integrals |
| title_full_unstemmed | Degree of approximation of continuous functions by some singular integrals |
| title_short | Degree of approximation of continuous functions by some singular integrals |
| title_sort | degree of approximation of continuous functions by some singular integrals |
| topic | Picard Poisson-Cauchy and Gauss Weierstrass singular integrals degree of approximation higher order modulus of smoothness |
| url | https://www.ictp.acad.ro/jnaat/journal/article/view/622 |
| work_keys_str_mv | AT soringgal degreeofapproximationofcontinuousfunctionsbysomesingularintegrals |