A method of summability of Lagrange interpolation
The author uses in this paper a technique from numerical integration (see [9]) to get a discretely defined operator, which is a modification of the Lagrange operator. Therefore we improve with the linear summation method Ln* a result presented in [12] and we also point out a solution for a problem o...
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171294000037 |
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| _version_ | 1832550208765952000 |
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| author | Detlef H. Mache |
| author_facet | Detlef H. Mache |
| author_sort | Detlef H. Mache |
| collection | DOAJ |
| description | The author uses in this paper a technique from numerical integration (see [9]) to get a discretely defined operator, which is a modification of the Lagrange operator. Therefore we improve with the linear summation method Ln* a result presented in [12] and we also point out a solution for a problem of P.L.Butzer in the proceedings of the Budapest conference in 1980. |
| format | Article |
| id | doaj-art-41a2ebe5b07243cc9168954bbeb145a8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-41a2ebe5b07243cc9168954bbeb145a82025-02-03T06:07:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-01171192510.1155/S0161171294000037A method of summability of Lagrange interpolationDetlef H. Mache0Universität Dortmund, Lehrstuhl Mathematik VIII, Postfach 50 05 00, Dortmund 50 D - 4600, GermanyThe author uses in this paper a technique from numerical integration (see [9]) to get a discretely defined operator, which is a modification of the Lagrange operator. Therefore we improve with the linear summation method Ln* a result presented in [12] and we also point out a solution for a problem of P.L.Butzer in the proceedings of the Budapest conference in 1980.http://dx.doi.org/10.1155/S0161171294000037approximation by positive linear operatorsdiscrete linear operatorsLagrange interpolationpointwise estimatessecond order modulus of continuityLipschitz type maximal functionButzer's problem. |
| spellingShingle | Detlef H. Mache A method of summability of Lagrange interpolation International Journal of Mathematics and Mathematical Sciences approximation by positive linear operators discrete linear operators Lagrange interpolation pointwise estimates second order modulus of continuity Lipschitz type maximal function Butzer's problem. |
| title | A method of summability of Lagrange interpolation |
| title_full | A method of summability of Lagrange interpolation |
| title_fullStr | A method of summability of Lagrange interpolation |
| title_full_unstemmed | A method of summability of Lagrange interpolation |
| title_short | A method of summability of Lagrange interpolation |
| title_sort | method of summability of lagrange interpolation |
| topic | approximation by positive linear operators discrete linear operators Lagrange interpolation pointwise estimates second order modulus of continuity Lipschitz type maximal function Butzer's problem. |
| url | http://dx.doi.org/10.1155/S0161171294000037 |
| work_keys_str_mv | AT detlefhmache amethodofsummabilityoflagrangeinterpolation AT detlefhmache methodofsummabilityoflagrangeinterpolation |