Some Identities between the Extended -Bernstein Polynomials with Weight and -Bernoulli Polynomials with Weight (,)
Using bosonic -adic -integral on , we give some interesting relationships between -Bernoulli numbers with weight (,) and -Bernstein polynomials with weight . Also, using -Bernstein polynomials with two variables, we derive some interesting properties associated with -Bernoulli numbers with weight (,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/604364 |
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| _version_ | 1832559431537131520 |
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| author | H. Y. Lee C. S. Ryoo |
| author_facet | H. Y. Lee C. S. Ryoo |
| author_sort | H. Y. Lee |
| collection | DOAJ |
| description | Using bosonic -adic -integral on , we give some interesting relationships between -Bernoulli numbers with weight (,) and -Bernstein polynomials with weight . Also, using -Bernstein polynomials with two variables, we derive some interesting properties associated with -Bernoulli numbers with weight (,). |
| format | Article |
| id | doaj-art-971f42a511f741619d885302c8685701 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-971f42a511f741619d885302c86857012025-02-03T01:30:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/604364604364Some Identities between the Extended -Bernstein Polynomials with Weight and -Bernoulli Polynomials with Weight (,)H. Y. Lee0C. S. Ryoo1Department of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaDepartment of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaUsing bosonic -adic -integral on , we give some interesting relationships between -Bernoulli numbers with weight (,) and -Bernstein polynomials with weight . Also, using -Bernstein polynomials with two variables, we derive some interesting properties associated with -Bernoulli numbers with weight (,).http://dx.doi.org/10.1155/2013/604364 |
| spellingShingle | H. Y. Lee C. S. Ryoo Some Identities between the Extended -Bernstein Polynomials with Weight and -Bernoulli Polynomials with Weight (,) Journal of Applied Mathematics |
| title | Some Identities between the Extended -Bernstein Polynomials with Weight and -Bernoulli Polynomials with Weight (,) |
| title_full | Some Identities between the Extended -Bernstein Polynomials with Weight and -Bernoulli Polynomials with Weight (,) |
| title_fullStr | Some Identities between the Extended -Bernstein Polynomials with Weight and -Bernoulli Polynomials with Weight (,) |
| title_full_unstemmed | Some Identities between the Extended -Bernstein Polynomials with Weight and -Bernoulli Polynomials with Weight (,) |
| title_short | Some Identities between the Extended -Bernstein Polynomials with Weight and -Bernoulli Polynomials with Weight (,) |
| title_sort | some identities between the extended bernstein polynomials with weight and bernoulli polynomials with weight |
| url | http://dx.doi.org/10.1155/2013/604364 |
| work_keys_str_mv | AT hylee someidentitiesbetweentheextendedbernsteinpolynomialswithweightandbernoullipolynomialswithweight AT csryoo someidentitiesbetweentheextendedbernsteinpolynomialswithweightandbernoullipolynomialswithweight |