Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2017, Cilt: 5 Sayı: 1, 56 - 67, 01.04.2017

Öz

Kaynakça

  • [1] Farin, G., Curves and Surfaces for Computer AidedGeometric Design, A Practical Guide, 3rd Edition, Academic Press Inc., San Diego, 1993.
  • [2] Do Carmo, M.P., Differential Geometry Curves and Surfaces, Prentice Hall, Englewood Cliffs, 1976.
  • [3] Joy, Kenneth I. Bernstein polynomials. Visualization and Graphics Research Group Department of Computer Science University of California, 1996.
  • [4] Doha, E. H., Bhrawy A.H., Saker M.A., On the derivatives of Bernstein polynomials: an application for the solution of high even-order differential equations BVP-Boundary Value Problems Vol:24 (2011), 1-16.
  • [5] Gergen, J. J., Diessel, G. and Purcell, W. H., Convergence of Extended Bernstein Polynomials in the Complex plane, Vol 13, No.4, 1963, 1171-1180.
  • [6] George M. Phillips,Bernstein Polynomials Interpolation and Approximation by Polynomials, CMS Books in Mathematics, 247-290, 2003.
  • [7] Rida T. Farouki, The Bernstein polynomial basis:a centennial retrospective Department of Mechanical and Aerospace Engineering, University of California, Davis, CA 95616, 2012.
  • [8] Kandasamy, W.B.V., and Smarandache, F., Dual Numbers, Zip Publishing, Ohio, 2012.
  • [9] Study, E., Die Geometrie der Dynamen, Leibzig, 1903.
  • [10] Veldkamp, G. R., On the Use of Dual Numbers, Vectors and Matrices in Instantaneous Spatial Kinematics, Mechanisms and Machine Theory, Vol:11 (1976), 141-156.
  • [11] Messelmi, F. Analysis of dual functions Annual Review of Chaos Theory, Bifurcations and Dynamical Systems Vol:4 (2013): 37-54.

GENERALIZED DUAL-VARIABLE BERNSTEIN POLYNOMIALS

Yıl 2017, Cilt: 5 Sayı: 1, 56 - 67, 01.04.2017

Öz

Bernstein polynomials are used in computer graphics for Computer Aided Geometric Design (CAGD). In this paper, we introduce the concept of the generalized dual-variable Bernstein polynomials and give its some properties. In particular, we investigate the limit and derivation equations of the dual-variable Bernstein polynomials.

Kaynakça

  • [1] Farin, G., Curves and Surfaces for Computer AidedGeometric Design, A Practical Guide, 3rd Edition, Academic Press Inc., San Diego, 1993.
  • [2] Do Carmo, M.P., Differential Geometry Curves and Surfaces, Prentice Hall, Englewood Cliffs, 1976.
  • [3] Joy, Kenneth I. Bernstein polynomials. Visualization and Graphics Research Group Department of Computer Science University of California, 1996.
  • [4] Doha, E. H., Bhrawy A.H., Saker M.A., On the derivatives of Bernstein polynomials: an application for the solution of high even-order differential equations BVP-Boundary Value Problems Vol:24 (2011), 1-16.
  • [5] Gergen, J. J., Diessel, G. and Purcell, W. H., Convergence of Extended Bernstein Polynomials in the Complex plane, Vol 13, No.4, 1963, 1171-1180.
  • [6] George M. Phillips,Bernstein Polynomials Interpolation and Approximation by Polynomials, CMS Books in Mathematics, 247-290, 2003.
  • [7] Rida T. Farouki, The Bernstein polynomial basis:a centennial retrospective Department of Mechanical and Aerospace Engineering, University of California, Davis, CA 95616, 2012.
  • [8] Kandasamy, W.B.V., and Smarandache, F., Dual Numbers, Zip Publishing, Ohio, 2012.
  • [9] Study, E., Die Geometrie der Dynamen, Leibzig, 1903.
  • [10] Veldkamp, G. R., On the Use of Dual Numbers, Vectors and Matrices in Instantaneous Spatial Kinematics, Mechanisms and Machine Theory, Vol:11 (1976), 141-156.
  • [11] Messelmi, F. Analysis of dual functions Annual Review of Chaos Theory, Bifurcations and Dynamical Systems Vol:4 (2013): 37-54.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Articles
Yazarlar

HATİCE Kuşak Samancı

Yayımlanma Tarihi 1 Nisan 2017
Gönderilme Tarihi 6 Haziran 2016
Kabul Tarihi 17 Aralık 2016
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 1

Kaynak Göster

APA Kuşak Samancı, H. (2017). GENERALIZED DUAL-VARIABLE BERNSTEIN POLYNOMIALS. Konuralp Journal of Mathematics, 5(1), 56-67.
AMA Kuşak Samancı H. GENERALIZED DUAL-VARIABLE BERNSTEIN POLYNOMIALS. Konuralp J. Math. Nisan 2017;5(1):56-67.
Chicago Kuşak Samancı, HATİCE. “GENERALIZED DUAL-VARIABLE BERNSTEIN POLYNOMIALS”. Konuralp Journal of Mathematics 5, sy. 1 (Nisan 2017): 56-67.
EndNote Kuşak Samancı H (01 Nisan 2017) GENERALIZED DUAL-VARIABLE BERNSTEIN POLYNOMIALS. Konuralp Journal of Mathematics 5 1 56–67.
IEEE H. Kuşak Samancı, “GENERALIZED DUAL-VARIABLE BERNSTEIN POLYNOMIALS”, Konuralp J. Math., c. 5, sy. 1, ss. 56–67, 2017.
ISNAD Kuşak Samancı, HATİCE. “GENERALIZED DUAL-VARIABLE BERNSTEIN POLYNOMIALS”. Konuralp Journal of Mathematics 5/1 (Nisan 2017), 56-67.
JAMA Kuşak Samancı H. GENERALIZED DUAL-VARIABLE BERNSTEIN POLYNOMIALS. Konuralp J. Math. 2017;5:56–67.
MLA Kuşak Samancı, HATİCE. “GENERALIZED DUAL-VARIABLE BERNSTEIN POLYNOMIALS”. Konuralp Journal of Mathematics, c. 5, sy. 1, 2017, ss. 56-67.
Vancouver Kuşak Samancı H. GENERALIZED DUAL-VARIABLE BERNSTEIN POLYNOMIALS. Konuralp J. Math. 2017;5(1):56-67.
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