Applications and Lipschitz results of Approximation by Smooth Picard and Gauss-Weierstrass Type Singular Integrals
We continue our studies in higher order uniform convergence with rates and in Lp convergence with rates. Namely, in this article we establish some Lipschitz type results for the smooth Picard type singular integral operators and for the smooth Gauss-Weierstrass type singular integral operators.<b...
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| Format: | Article |
| Language: | English |
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Universidad de La Frontera
2011-10-01
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| Series: | Cubo |
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300002 |
| _version_ | 1818119495744487424 |
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| author | Razvan A Mezei |
| author_facet | Razvan A Mezei |
| author_sort | Razvan A Mezei |
| collection | DOAJ |
| description | We continue our studies in higher order uniform convergence with rates and in Lp convergence with rates. Namely, in this article we establish some Lipschitz type results for the smooth Picard type singular integral operators and for the smooth Gauss-Weierstrass type singular integral operators.<br>Continuamos nuestros estudios sobre convergencia uniforme de orden superior con radios y sobre convergencia Lp con radios. Concretamente, en este artículo establecemos algunos resultados de tipo Lipschitz para operadores integrales suves del tipo Picard singulares y para operadores integrales singulares de tipo Gauss-Weierstrass. |
| first_indexed | 2024-12-11T05:11:07Z |
| format | Article |
| id | doaj.art-9592ab6b6f904eff97782cc41bd8e87b |
| institution | Directory Open Access Journal |
| issn | 0716-7776 0719-0646 |
| language | English |
| last_indexed | 2024-12-11T05:11:07Z |
| publishDate | 2011-10-01 |
| publisher | Universidad de La Frontera |
| record_format | Article |
| series | Cubo |
| spelling | doaj.art-9592ab6b6f904eff97782cc41bd8e87b2022-12-22T01:19:55ZengUniversidad de La FronteraCubo0716-77760719-06462011-10-011331748Applications and Lipschitz results of Approximation by Smooth Picard and Gauss-Weierstrass Type Singular IntegralsRazvan A MezeiWe continue our studies in higher order uniform convergence with rates and in Lp convergence with rates. Namely, in this article we establish some Lipschitz type results for the smooth Picard type singular integral operators and for the smooth Gauss-Weierstrass type singular integral operators.<br>Continuamos nuestros estudios sobre convergencia uniforme de orden superior con radios y sobre convergencia Lp con radios. Concretamente, en este artículo establecemos algunos resultados de tipo Lipschitz para operadores integrales suves del tipo Picard singulares y para operadores integrales singulares de tipo Gauss-Weierstrass.http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300002Smooth Picard Type singular integralSmooth Gauss-Weierstrass Type singular integralmodulus of smoothnessrate of convergenceLp convergenceHigher Order Uniform Convergence with Ratessharp inequalityLipschitz functions |
| spellingShingle | Razvan A Mezei Applications and Lipschitz results of Approximation by Smooth Picard and Gauss-Weierstrass Type Singular Integrals Cubo Smooth Picard Type singular integral Smooth Gauss-Weierstrass Type singular integral modulus of smoothness rate of convergence Lp convergence Higher Order Uniform Convergence with Rates sharp inequality Lipschitz functions |
| title | Applications and Lipschitz results of Approximation by Smooth Picard and Gauss-Weierstrass Type Singular Integrals |
| title_full | Applications and Lipschitz results of Approximation by Smooth Picard and Gauss-Weierstrass Type Singular Integrals |
| title_fullStr | Applications and Lipschitz results of Approximation by Smooth Picard and Gauss-Weierstrass Type Singular Integrals |
| title_full_unstemmed | Applications and Lipschitz results of Approximation by Smooth Picard and Gauss-Weierstrass Type Singular Integrals |
| title_short | Applications and Lipschitz results of Approximation by Smooth Picard and Gauss-Weierstrass Type Singular Integrals |
| title_sort | applications and lipschitz results of approximation by smooth picard and gauss weierstrass type singular integrals |
| topic | Smooth Picard Type singular integral Smooth Gauss-Weierstrass Type singular integral modulus of smoothness rate of convergence Lp convergence Higher Order Uniform Convergence with Rates sharp inequality Lipschitz functions |
| url | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300002 |
| work_keys_str_mv | AT razvanamezei applicationsandlipschitzresultsofapproximationbysmoothpicardandgaussweierstrasstypesingularintegrals |