Approximation properties of a new type Bernstein–Stancu polynomials of one and two variables
A new generalization of Bernstein–Stancu type polynomials for one and two variables are constructed and the theorems on convergence and the degree of convergence are established. In addition some numerical examples, corresponding to obtaining results are given.
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| Veröffentlicht in: | Applied mathematics and computation 2010-04, Vol.216 (3), p.890-901 |
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| container_title | Applied mathematics and computation |
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| creator | Gadjiev, A.D. Ghorbanalizadeh, A.M. |
| description | A new generalization of Bernstein–Stancu type polynomials for one and two variables are constructed and the theorems on convergence and the degree of convergence are established. In addition some numerical examples, corresponding to obtaining results are given. |
| doi_str_mv | 10.1016/j.amc.2010.01.099 |
| format | Article |
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Scientific computation</subject><subject>Operator theory</subject><subject>Positive linear operators</subject><subject>Rate of convergence</subject><subject>Sciences and techniques of general use</subject><subject>Theorems</subject><subject>Uniform approximation</subject><issn>0096-3003</issn><issn>1873-5649</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kL9uFDEQhy0EEkfgAejcIKo9xvZ6vRZViPgnRaIIabG89qzk05692L6E6_IOvCFPEoeLKKnGI38zo-9HyGsGWwZseLfb2r3bcmg9sC1o_YRs2KhEJ4dePyUbAD10AkA8Jy9K2QGAGli_IT_O1zWnX2Fva0iRtveKuQYsNM3U0oi3tB5XpB8wx1IxxD93v6-qje5A17QcY9oHu_yFU0Rqo6f1NtEbm4OdFiwvybO5_eOrx3pGrj99_H7xpbv89vnrxfll54TUtVNWT2rUXEvw86QtV05jLwA5TNahxMm7cZxG2aPwahSeezkO0nGP8zjwWZyRt6e9TeDnAUs1-1AcLouNmA7FKClU35z7RrIT6XIqJeNs1tzs89EwMA9Rmp1pUZqHKA0w06JsM28et9vi7DLn5h_Kv0HOpQalRePenzhsqjcBsykuYHToQ0ZXjU_hP1fuASXfi6o</recordid><startdate>20100401</startdate><enddate>20100401</enddate><creator>Gadjiev, A.D.</creator><creator>Ghorbanalizadeh, A.M.</creator><general>Elsevier Inc</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20100401</creationdate><title>Approximation properties of a new type Bernstein–Stancu polynomials of one and two variables</title><author>Gadjiev, A.D. ; Ghorbanalizadeh, A.M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-7a9b7892950dfb9a27c9e430e20bace5ebdc88b854e3d783d2d5865c2def862f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Acceleration of convergence</topic><topic>Approximation</topic><topic>Bernstein–Stancu type polynomials</topic><topic>Computation</topic><topic>Construction</topic><topic>Convergence</topic><topic>Exact sciences and technology</topic><topic>Korovkin’s theorem</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Modulus of continuity</topic><topic>Numerical analysis</topic><topic>Numerical analysis. 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| ispartof | Applied mathematics and computation, 2010-04, Vol.216 (3), p.890-901 |
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| language | eng |
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| subjects | Acceleration of convergence Approximation Bernstein–Stancu type polynomials Computation Construction Convergence Exact sciences and technology Korovkin’s theorem Mathematical analysis Mathematical models Mathematics Modulus of continuity Numerical analysis Numerical analysis. Scientific computation Operator theory Positive linear operators Rate of convergence Sciences and techniques of general use Theorems Uniform approximation |
| title | Approximation properties of a new type Bernstein–Stancu polynomials of one and two variables |
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