논문KCI 등재
On q-Bernstein and q-Hermite polynomials
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Recently, T. Kim([1,2]) introduced q-Bernstein polynomials which are different q-Bernstein polynomials of Phillips. In this paper, we investigate some identities for the q-Bernstein polynomials which are treated by Kim in previous paper([1]).
Abstract
Recently, T. Kim([1,2]) introduced q-Bernstein polynomials which are different q-Bernstein polynomials of Phillips. In this paper, we investigate some identities for the q-Bernstein polynomials which are treated by Kim in previous paper([1]).
참고문헌 (11)
- T. Kim, "A note on q Bernstein polynomials", Russian Journal of Mathematical physics, 18(1) (2011)
- T. Kim, "q Bernstein polynomials associated with q Stirling numbers and Carlitz’s q Bernoulli numbers", Abstract and Applied Analysis, pp.11~ (2010)
- T. Kim, "A note on the modified q Bernstein polynomials", Discrete Dynamics in Nature and Society, pp.12~ (2010)
- J. L. Lopez, "Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel and Buchholz polynomials"
- G. G. Lorentz, "Bernstein polynomials" (1986), United States of America
- L.C. Jang, "A study on the p adic integral representation on Zp associated with Bernstein and Bernoulli polynomials", Advances in Difference Equations, pp.6~ (2010)
- Y. Simsek, "New generating function of q Bernstein type polynomials and their interpolation function", Abstract and Applied Analysis, pp.12~ (2010)
- S. Bernstein, "D˙emonstration du th˙eor˙eme de Weierstrass, fonde˙e sur le Calcul des probabilities", Commun. Soc. Math, Kharkow, 2(13), pp.1~2 (1912)
- T. Kim, "Barnes type multiple q zeta function and q Euler polynomials", Journal of physics A: Math. Theor, 43, pp.11~ (2010)
- T. Kim, "Some identities on the q Euler polynomials of higher order and q Stirling numbers by the fermionic p adic integral on Zp", Russian Journal of Mathematical physics, 16, pp.484~491 (2009)
- S.H. Rim, "On multiple interpolation functions of the q Genocchi polynomials", J. Inequal. Appl, 13, pp.7~ (2010)
관련 논문AI추천
A new identities on the q-Bernoulli numbers and polynomialsC. S. Ryoo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호Identities on the weighted q-Euler numbers and q-Bernstein polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호A note on q-Bernstein and q-Laguerre polynomialsB. Lee, C. S. Ryoo, D. V. Dolgy, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제3호Some identities on the Bernstein and q-Genocchi polynomials김현미대한수학회 · 대한수학회보2013 · 제50권 제4호A note on the weighted Carlitz’s type q-Euler numbers and q-Bernstein polynomials이선정, 임석훈, 정주희, 진종희장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제2호Some relations between twisted q-Euler numbers and Bernstein polynomials유천성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호
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