Journal of Applied Mathematics

Some Identities between the Extended q-Bernstein Polynomials with Weight α and q-Bernoulli Polynomials with Weight (α,β)

H. Y. Lee and C. S. Ryoo

Full-text: Open access

Abstract

Using bosonic p-adic q-integral on p, we give some interesting relationships between q-Bernoulli numbers with weight (α,β) and q-Bernstein polynomials with weight α. Also, using q-Bernstein polynomials with two variables, we derive some interesting properties associated with q-Bernoulli numbers with weight (α,β).

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 604364, 8 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808236

Digital Object Identifier
doi:10.1155/2013/604364

Mathematical Reviews number (MathSciNet)
MR3138925

Zentralblatt MATH identifier
06950779

Citation

Lee, H. Y.; Ryoo, C. S. Some Identities between the Extended $q$ -Bernstein Polynomials with Weight $\alpha $ and $q$ -Bernoulli Polynomials with Weight ( $\alpha $ , $\beta $ ). J. Appl. Math. 2013 (2013), Article ID 604364, 8 pages. doi:10.1155/2013/604364. https://projecteuclid.org/euclid.jam/1394808236


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