Publications of Rong-Qing Jia
1979-1985
- R. Q. Jia, Cubic spline interpolation for class of
Lipschitz, Journal of Zhejiang University
13 (1979), 157--171.
- R. Q. Jia, On the local property of cubic interpolation spline,
Numer. Math. Sinica 1 (1979), 354--364.
- R. Q. Jia, The accurate constant of approximation functions
by Poisson integral, Journal of Zhejiang University
14 (1980), 12--25.
- R. Q. Jia, The existence and uniqueness theorem about the method
for designing curvature, Journal of Zhejiang University
14 (1980), 15--22.
- R. Q. Jia, Cubic spline interpolation at a biinfinite knot sequence,
Numer. Math. Sinica 2 (1980), 345--349.
- R. Q. Jia, On local linear functional for L-splines,
J. Approx. Theory 33 (1981), 96--110.
- R. Q. Jia, B-splines associated with a linear differential operator,
Numer. Math. Sinica 4 (1982), 128--138.
- R. Q. Jia, B-splines associated with a linear differential
operator II, Numer. Math. Sinica
4 (1982), 264--271.
- C. de Boor, R. Q. Jia, and A. Pinkus, Structure of invertible
(bi)infinite totally positive matrices,
Linear Algebra Appl. 47 (1982), 41--55.
- R. Q. Jia, $L_\infty$-upper bound for $L_2$-projections onto
splines at a geometric mesh, J. Approx. Theory
37 (1983), 293--310.
- R. Q. Jia, On a conjecture of C. A. Micchelli concerning cubic spline
interpolation at a biinfinite knot sequence,
J. Approx. Theory 38 (1983), 284--292.
- R. Q. Jia, Total positivity of the discrete spline collocation matrix,
J. Approx. Theory 39 (1983), 11--23.
- R. Q. Jia, Approximation by smooth bivariate splines
on a three-direction mesh, in Approximation Theory IV,
(C. K. Chui, L. L. Schumaker, and J. Ward eds.)
Academic Press, New York, 1983, pp. 539--545.
- R. Q. Jia, Spline Interpolation and Some Related Topics,
Ph. D. Thesis, University of Wisconsin-Madison, 1983.
- R. Q. Jia, On sign regularity of translated kernels,
Acta. Math. Sinica 26 (1983), 699--706.
- R. Q. Jia, On a conjecture of S. Karlin,
Acta. Math. Sinica 27 (1984), 61--68.
- R. Q. Jia, Linear independence of translates of a box spline,
J. Approx. Theory 40 (1984), 158--160.
- R. Q. Jia, Local linear independence of the translates of a box
spline, Constr. Approx. 1 (1985), 175--182.
- C. de Boor and R. Q. Jia, Controlled approximation and
a characterization of the local approximation order,
Proc. Amer. Math. Soc. 95 (1985), 547--553.
- R. Q. Jia, Estimation of partial sums of series $\sum\mu(n)/n$,
Ke Xue Tong Bao 30 (1985) 575--578.