A Korovkin Type Approximation Theorem and Its Applications
We present a Korovkin type approximation theorem for a sequence of positive linear operators defined on the space of all real valued continuous and periodic functions via A-statistical approximation, for the rate of the third order Ditzian-Totik modulus of smoothness. Finally, we obtain an interleav...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/859696 |
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| _version_ | 1832549311847596032 |
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| author | Malik Saad Al-Muhja |
| author_facet | Malik Saad Al-Muhja |
| author_sort | Malik Saad Al-Muhja |
| collection | DOAJ |
| description | We present a Korovkin type approximation theorem for a sequence of positive linear operators defined on the space of all real valued continuous and periodic functions via A-statistical approximation, for the rate of the third order Ditzian-Totik modulus of smoothness. Finally, we obtain an interleave between Riesz's representation theory and Lebesgue-Stieltjes integral-i, for Riesz's functional supremum formula via statistical limit. |
| format | Article |
| id | doaj-art-7c8bca66080d4e7d942ad9208f347607 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7c8bca66080d4e7d942ad9208f3476072025-02-03T06:11:41ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/859696859696A Korovkin Type Approximation Theorem and Its ApplicationsMalik Saad Al-Muhja0Department of Mathematics and Computer Application, College of Sciences, University of Al-Muthanna, Samawa, IraqWe present a Korovkin type approximation theorem for a sequence of positive linear operators defined on the space of all real valued continuous and periodic functions via A-statistical approximation, for the rate of the third order Ditzian-Totik modulus of smoothness. Finally, we obtain an interleave between Riesz's representation theory and Lebesgue-Stieltjes integral-i, for Riesz's functional supremum formula via statistical limit.http://dx.doi.org/10.1155/2014/859696 |
| spellingShingle | Malik Saad Al-Muhja A Korovkin Type Approximation Theorem and Its Applications Abstract and Applied Analysis |
| title | A Korovkin Type Approximation Theorem and Its Applications |
| title_full | A Korovkin Type Approximation Theorem and Its Applications |
| title_fullStr | A Korovkin Type Approximation Theorem and Its Applications |
| title_full_unstemmed | A Korovkin Type Approximation Theorem and Its Applications |
| title_short | A Korovkin Type Approximation Theorem and Its Applications |
| title_sort | korovkin type approximation theorem and its applications |
| url | http://dx.doi.org/10.1155/2014/859696 |
| work_keys_str_mv | AT maliksaadalmuhja akorovkintypeapproximationtheoremanditsapplications AT maliksaadalmuhja korovkintypeapproximationtheoremanditsapplications |