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Rocky Mountain Journal of Mathematics
VOL. 19 · NO. 1 | Winter 1989
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 19, no. 1, (1989)
Rocky Mountain J. Math. 19 (1), (Winter 1989) Open Access
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Introduction
W.A.A. Sakam, A. Ditzian, S.D. Riemenschneider
Rocky Mountain J. Math. 19 (1), 1-6, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-1 Open Access
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Dedication
Rocky Mountain J. Math. 19 (1), 7-8, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-7 Open Access
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Articles
$(0,3)$ interpolation on the zeros of $\pi_n(x)$
M.R. Akhlaghi, A.M. Chak, A. Sharma
Rocky Mountain J. Math. 19 (1), 9-22, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-9 Open Access
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On Ikebe's Condition
Dan Amir
Rocky Mountain J. Math. 19 (1), 23-32, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-23 Open Access
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Divided difference operators and classical orthogonal polynomials
Richard Askey
Rocky Mountain J. Math. 19 (1), 33-38, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-33 Open Access
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Asymptotics for orthogonal polynomials with regularly varying recurrence coefficients
Walter Van Assche, Jeffrey S. Geronimo
Rocky Mountain J. Math. 19 (1), 39-50, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-39 Open Access
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Continuous approximation methods for the regularization and smoothing of integral transforms
R.P. Bennell, J.C. Mason
Rocky Mountain J. Math. 19 (1), 51-66, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-51 Open Access
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An example of a Chebyshev set
H. Berens, H.J. Schmid
Rocky Mountain J. Math. 19 (1), 67-72, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-67 Open Access
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Converse results in the theory of equiconvergence of interpolating rational functions
M.A. Bokhari
Rocky Mountain J. Math. 19 (1), 73-82, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-73 Open Access
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T -invariant algebras on Riemann surfaces II
Andrè Boivin
Rocky Mountain J. Math. 19 (1), 83-92, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-83 Open Access
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Approximating $\pi$ with Ramanujan's solvable modular equations
J.M. Borwein, P.B. Borwein
Rocky Mountain J. Math. 19 (1), 93-102, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-93 Open Access
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Sudden symmetry in simultaneous approximation
M.G. De Bruin
Rocky Mountain J. Math. 19 (1), 103-112, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-103 Open Access
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Atomic characterizations of modulation spaces through Gabor-type representations
Hans G. Feichtinger
Rocky Mountain J. Math. 19 (1), 113-126, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-113 Open Access
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A problem of Rubel concerning approximation on unbounded sets by entire functions
P.M. Gauthier, W. Hengartner, A. Stray
Rocky Mountain J. Math. 19 (1), 127-136, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-127 Open Access
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On duality in rational approximation
Gerhard Gierz, Boris Shektman
Rocky Mountain J. Math. 19 (1), 137-144, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-137 Open Access
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Bernstein inequalities in $L_p, 0\leq p\leq +\infty$
M.V. Golitschek, G.G. Lorentz
Rocky Mountain J. Math. 19 (1), 145-156, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-145 Open Access
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Degree of approximation by lacunary interpolators: $(0,\dots,R-2,R)$ interpolation
Heinz H. Gonska
Rocky Mountain J. Math. 19 (1), 157-172, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-157 Open Access
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Convexity preserving convolution operators
T.N.T. Goodman, S.L. Lee
Rocky Mountain J. Math. 19 (1), 173-180, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-173 Open Access
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Approximation of Zolotarev type
Werner Haussman, Karl Zeller
Rocky Mountain J. Math. 19 (1), 181-188, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-181 Open Access
KEYWORDS: Zolotarev polynomials, complex approximation, 30E10, 41A10, CarathÉodory-FejÉr approximation
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Bivariate cardinal interpolation on the 3-direction mesh: $\ell^p$-data
Klaus Höllig, Martin Marsden, Sherman Riemenschneider
Rocky Mountain J. Math. 19 (1), 189-198, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-189 Open Access
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A constructive proof of convergence of the even approximants of positive PC-fractions
William B. Jones, W.J. Thron
Rocky Mountain J. Math. 19 (1), 199-210, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-199 Open Access
KEYWORDS: PadÉ approximant, 30E05, 41A21, 50A15, Moment problem, Continued fraction
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Contraction of the Schur algorithm for functions bounded in the unit disk
William B. Jones, W.J. Thron
Rocky Mountain J. Math. 19 (1), 211-222, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-211 Open Access
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Symmetry techniques for $q$-series: Askey-Wilson polynomials
E.G. Kalnins, Willard Miller Jr
Rocky Mountain J. Math. 19 (1), 223-230, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-223 Open Access
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Monotone polynomial approximation in $L^p$
D. Leviatan
Rocky Mountain J. Math. 19 (1), 231-242, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-231 Open Access
KEYWORDS: degree of monotone approximation, Jackson type estimates, $L^p$-modulus of continuity, Peetre kernel
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Jackson type theorems in approximation by reciprocals of polynomials
A.L. Levin, E.B. Saff
Rocky Mountain J. Math. 19 (1), 243-250, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-243 Open Access
KEYWORDS: 41A20, 41A17
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Proximinality in $L^p(S,Y)$
W.A. Light
Rocky Mountain J. Math. 19 (1), 251-260, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-251 Open Access
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Sufficient conditions for asymptotics associated with weighted extremal problems onR
D.S. Lubinsky, E.B. Saff
Rocky Mountain J. Math. 19 (1), 261-270, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-261 Open Access
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On the Riemann convergence of positive linear operators
H. Mevissen, R.J. Nessel, E. Van Wickeren
Rocky Mountain J. Math. 19 (1), 271-280, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-271 Open Access
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Approximation by Cheney-Sharma-Kantorovic polynomials in the $L^p$-metric
Manfred M. Müller
Rocky Mountain J. Math. 19 (1), 281-292, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-281 Open Access
KEYWORDS: Cheney Sharma - Kantorovic polynomials, Positive linear operators, 41A36, 41A25, 41A10, Cheney -Sharma - Bernstein polynomials, degree of approximation in the $L^p$-metric, Voronovskaja - theorem
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Characterization of measures associated with orthogonal polynomials on the unit circle
Paul Nevai
Rocky Mountain J. Math. 19 (1), 293-302, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-293 Open Access
KEYWORDS: 42C05, orthogonal polynomials, Recurrence Formulas
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$n$-convexity and majorization
J.E. Peĉarić, D. Zwick
Rocky Mountain J. Math. 19 (1), 303-312, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-303 Open Access
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Rational approximation - analysis of work of Pekarskii
Jaak Peetre, Johan Karlsson
Rocky Mountain J. Math. 19 (1), 313-334, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-313 Open Access
KEYWORDS: rate of approximation, 41-02, 41A25, 46E35, 46M35, 47B99, best rational approximation, approximation space, Besov space, interpolation space
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Proximinality of certain subspaces of $C_b(S;E)$
Joao B. Prolla, Ary O. Chiacchio
Rocky Mountain J. Math. 19 (1), 335-344, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-335 Open Access
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Extension of a theorem of Laguerre to entire functions of exponential type II
Q.I. Rahman, G. Schmeisser
Rocky Mountain J. Math. 19 (1), 345-352, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-345 Open Access
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Sharp lower bounds for a generalized Jensen inequality
A.K. Rigler, S.Y. Trimble, Richard S. Varga
Rocky Mountain J. Math. 19 (1), 353-374, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-353 Open Access
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Real vs. complex rational Chebyshev approximation on an interval
A. Ruttan, R.S. Varga
Rocky Mountain J. Math. 19 (1), 375-382, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-375 Open Access
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Extensions of the Heisenberg group and coaxial coupling of transverse eigenmodes
Walter Schempp
Rocky Mountain J. Math. 19 (1), 383-394, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-383 Open Access
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A note on positive quadrature rules
H.J. Schmid
Rocky Mountain J. Math. 19 (1), 395-404, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-395 Open Access
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On norm and zero asymptotics of orthogonal polynomials for general measures
Matthew F. Wyneken
Rocky Mountain J. Math. 19 (1), 405-414, (Winter 1989) DOI: 10.1216/RMJ-1989-19-1-405 Open Access
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