Missouri State University

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Mathematics 

Xiang Ming Yu

Professor of Mathematics
Missouri State University

Springfield, MO 65897

Research interests: 

  • Approximation Theory
  • Numerical Analysis
  • Real Analysis

Some of publications: 

  1. X.M.Yu, Pointwise estimates for algebraic polynomial approximation , JATA, 3(1985)
  2. R.A.DeVore & X.M.Yu, Pointwise estimates for monotone polynomial approximation, Const. Approx., 4(1985)
  3. R.A.DeVore & X.M.Yu, Multivariate rational approximation, Trans. AMS,1(1986)
  4. X.M.Yu, Monotone polynomial approximation in L_p space, Acta Math. Sinica, 4(1987)
  5. Y.P.Ma & X.M.Yu, Generalized monotone approximation in L_p space, Acta Math. Sinica, 4 (1988)
  6. X.M.Yu, Degree of copositive polynomial approximation, Chin. Annal. Math., 3(1989)
  7. R.A.DeVore & X.M.Yu, Nonlinear n-widths in Besov spaces, Approx. Theory VI: Vol. 1, C.K.Chui, L.L.Schumaker & J.D.Ward eds., (1989)
  8. R.A.DeVore & X.M.Yu, Degree of adaptive approximation, Math. Comp., Vol. 55, No. 192 (1990)
  9. R.A.DeVore, D.Leviatan & X.M.Yu, L_p approximation by reciprocals of trigonometric and algebraic polynomials, Canad. Math. Bull., Vol. 33, 4(1990)
  10. A.K.Varma & X.M.Yu, Pointwise estimates for an interpolation process of S.N. Bernstein, J. Austral. Math. Soc., 51(1991)
  11. R.A.DeVore & X.M.Yu, K- functional of Besov spaces, JAT Vol. 67, No. 1 (1991)
  12. X.M.Yu, Nonlinear wavelet approximation in the space C_P^{\alpha }, JATA Vol. 7, 4(1991)
  13. R.A.DeVore, P.Petrushev & X.M.Yu, Nonlinear wavelet approximation in the space C(R^d), in " Progress in Approximation Theory", A.A. Gonchar & E. Saff eds., Springer Verlag, New York, N.Y. (1992)
  14. R.A.DeVore, D.Leviatan & X.M.Yu, Polynomial approximation in L_p (0< p < 1) space, Constr. Approx., 8(1992)
  15. G.A.Anastassiou & X.M.Yu, Monotone and probabilistic wavelet approximation, Stochastic Anal. Applic. Vol. 10, 3(1992)
  16. Y.K.Hu, D.Leviatan & X.M.Yu, Copositive polynomial approximation in C[0,1], Journal of Analysis, Vol. 1 (1993)
  17. Yingkang, D.Leviatan & X.M.Yu, Convex polynomial and spline approximation in C[-1,1], Constr. Approx., 1(1994)
  18. X.M.Yu & S.P.Zhou, On monotone spline approximation, SIAM Math. Anal., Vol. 25, No. 4 (1994)
  19. X.P.Sun & X.M.Yu, Analytic monotone extension of boundary data, JAT Vol. 77, 3(1994)
  20. Yingkang Hu, D.Leviatan & X.M.Yu, Copositive polynomial and spline approximation, JAT Vol. 80, No. 2 (1995)
  21. Yingkang Hu & X.M.Yu, Discrete modulus of smoothness of splines with equally spaced knots, SIAM J. Num. Anal., Vol. 32 (1995)
  22. Yingkang Hu & X.M.Yu, The degree of copositive approximation and a computer algorithm, SIAM J. Num. Anal., Vol. 33 (1996)
  23. Y.K.Hu, K.A.Kopotun & X.M.Yu, On positive and copositive polynomial and spline approximation in L_p[-1,1], JAT Vol. 86, 3(1996)
  24. Y.K.Hu, K.A.Kopotun & X.M.Yu, Constrained approximation in Sobolev spaces, Canad. Math. Bull., Vol. 49 (1),(1997)
  25. Y.K.Hu, K.A.Kopotun & X.M.Yu, Weak copositive and intertwining approximation, JAT Vol. 96 (1999)
  26. Y.K.Hu, K.A.Kopotun & X.M.Yu, On multivariate adaptive approximation, Constr. Approx., Vol. 16 (2000)
  27. Y.K.Hu, K.A.Kopotun & X.M.YU, Modified Adaptive Algorithms, SIAM J. Numer. Anal., Vol. 38 (2000)
  28. R.G.Baraniuk, R.A.DeVore, G.Kyriazis & X.M.Yu, Near Best Tree Approximation, Adavances in Computational Mathematics, Vol. 16 (2002)
  29. Y.K.Hu & X.M.Yu, Perfect Spline Approximation, JAT Vol. 121 (2003)

Teaching schedule:

(Spring 2006) 

  • MTH 130-2
  • MTH 130-8
  • MTH 503

Favorite web pages: 

Favorite journals: