Approximation by Certain Linear Positive Operators of Two Variables
We introduce positive linear operators which are combined with the Chlodowsky and Szász type operators and study some approximation properties of these operators in the space of continuous functions of two variables on a compact set. The convergence rate of these operators are obtained by means of t...
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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/10.1155/2014/782080 |
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| _version_ | 1832559850871062528 |
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| author | Afşin Kürşat Gazanfer İbrahim Büyükyazıcı |
| author_facet | Afşin Kürşat Gazanfer İbrahim Büyükyazıcı |
| author_sort | Afşin Kürşat Gazanfer |
| collection | DOAJ |
| description | We introduce positive linear operators which are combined with the Chlodowsky and Szász type operators and study some approximation properties of these operators in the space of continuous functions of two variables on a compact set. The convergence rate of these operators are obtained by means of the modulus of continuity. And we also obtain weighted approximation
properties for these positive linear operators in a weighted space of functions of two variables and find the convergence rate for these operators by using the weighted modulus of continuity. |
| format | Article |
| id | doaj-art-a5e4287d3fb945958f527c6a0db2477c |
| 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-a5e4287d3fb945958f527c6a0db2477c2025-02-03T01:29:01ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/782080782080Approximation by Certain Linear Positive Operators of Two VariablesAfşin Kürşat Gazanfer0İbrahim Büyükyazıcı1Department of Mathematics, Faculty of Science and Art, Bülent Ecevit University, 67100 Zonguldak, TurkeyDepartment of Mathematics, Faculty of Science, Ankara University, 06100 Tandogan, TurkeyWe introduce positive linear operators which are combined with the Chlodowsky and Szász type operators and study some approximation properties of these operators in the space of continuous functions of two variables on a compact set. The convergence rate of these operators are obtained by means of the modulus of continuity. And we also obtain weighted approximation properties for these positive linear operators in a weighted space of functions of two variables and find the convergence rate for these operators by using the weighted modulus of continuity.http://dx.doi.org/10.1155/2014/782080 |
| spellingShingle | Afşin Kürşat Gazanfer İbrahim Büyükyazıcı Approximation by Certain Linear Positive Operators of Two Variables Abstract and Applied Analysis |
| title | Approximation by Certain Linear Positive Operators of Two Variables |
| title_full | Approximation by Certain Linear Positive Operators of Two Variables |
| title_fullStr | Approximation by Certain Linear Positive Operators of Two Variables |
| title_full_unstemmed | Approximation by Certain Linear Positive Operators of Two Variables |
| title_short | Approximation by Certain Linear Positive Operators of Two Variables |
| title_sort | approximation by certain linear positive operators of two variables |
| url | http://dx.doi.org/10.1155/2014/782080 |
| work_keys_str_mv | AT afsinkursatgazanfer approximationbycertainlinearpositiveoperatorsoftwovariables AT ibrahimbuyukyazıcı approximationbycertainlinearpositiveoperatorsoftwovariables |