Approximation Properties of q-Bernoulli Polynomials
We study the q-analogue of Euler-Maclaurin formula and by introducing a new q-operator we drive to this form. Moreover, approximation properties of q-Bernoulli polynomials are discussed. We estimate the suitable functions as a combination of truncated series of q-Bernoulli polynomials and the error...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2017/9828065 |
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| author | M. Momenzadeh I. Y. Kakangi |
| author_facet | M. Momenzadeh I. Y. Kakangi |
| author_sort | M. Momenzadeh |
| collection | DOAJ |
| description | We study the q-analogue of Euler-Maclaurin formula and by introducing a new q-operator we drive to this form. Moreover, approximation properties of q-Bernoulli polynomials are discussed. We estimate the suitable functions as a combination of truncated series of q-Bernoulli polynomials and the error is calculated. This paper can be helpful in two different branches: first we solve the differential equations by estimating functions and second we may apply these techniques for operator theory. |
| format | Article |
| id | doaj-art-6b5e00c6a01b43e489c8082d36b97891 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6b5e00c6a01b43e489c8082d36b978912025-08-20T02:23:57ZengWileyAbstract and Applied Analysis1085-33751687-04092017-01-01201710.1155/2017/98280659828065Approximation Properties of q-Bernoulli PolynomialsM. Momenzadeh0I. Y. Kakangi1Near East University, Lefkosa, Northern Cyprus, Mersin 10, TurkeyNear East University, Lefkosa, Northern Cyprus, Mersin 10, TurkeyWe study the q-analogue of Euler-Maclaurin formula and by introducing a new q-operator we drive to this form. Moreover, approximation properties of q-Bernoulli polynomials are discussed. We estimate the suitable functions as a combination of truncated series of q-Bernoulli polynomials and the error is calculated. This paper can be helpful in two different branches: first we solve the differential equations by estimating functions and second we may apply these techniques for operator theory.http://dx.doi.org/10.1155/2017/9828065 |
| spellingShingle | M. Momenzadeh I. Y. Kakangi Approximation Properties of q-Bernoulli Polynomials Abstract and Applied Analysis |
| title | Approximation Properties of q-Bernoulli Polynomials |
| title_full | Approximation Properties of q-Bernoulli Polynomials |
| title_fullStr | Approximation Properties of q-Bernoulli Polynomials |
| title_full_unstemmed | Approximation Properties of q-Bernoulli Polynomials |
| title_short | Approximation Properties of q-Bernoulli Polynomials |
| title_sort | approximation properties of q bernoulli polynomials |
| url | http://dx.doi.org/10.1155/2017/9828065 |
| work_keys_str_mv | AT mmomenzadeh approximationpropertiesofqbernoullipolynomials AT iykakangi approximationpropertiesofqbernoullipolynomials |