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Dergiler / Konuralp Journal of Mathematics / 2017 / Cilt: 5 - Sayı: 1

GENERALIZED DUAL-VARIABLE BERNSTEIN POLYNOMIALS

HATİCE KUŞAK SAMANCI
Sayfa
56–67
Yayın Tarihi
2017-04-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In particular, we investigate the limit and derivation equations of the dual-variable Bernstein polynomials.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Bernstein polynomials are used in computer graphics for Computer Aided Geometric Design (CAGD).
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Temel Bulgular & Veri:In this paper, we introduce the concept of the generalized dual-variable Bernstein polynomials and give its some properties.
💡
Sonuç & Katkı:In particular, we investigate the limit and derivation equations of the dual-variable Bernstein polynomials.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Dual-variable Bernstein polynomials · limit · derivations

Abstract

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.

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Bu Makaleye Atıf Yap

SAMANCI, H. K. (2017). GENERALIZED DUAL-VARIABLE BERNSTEIN POLYNOMIALS. Konuralp Journal of Mathematics, Cilt: 5 - Sayı: 1, 56–67. https://ajindex.com/articles/786630

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Kaynakça (11)

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  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.