Quantitative Approximation. Proceedings of a Symposium on Quantitative Approximation Held in Bonn, West Germany, August 20–24, 1979

✍ Scribed by R. Devore, Karl Scherer

• Publisher: Elsevier Inc, Academic Press
• Year: 1980
• Tongue: English
• Leaves: 321
• Category: Library

✦ Table of Contents

Content:
Inside Front Cover, Page ii
Front Matter, Page iii
Copyright, Page iv
Contributors, Pages ix-x
Preface, Page xi
ON AN INEQUALITY FOR THE SHARP FUNCTION, Pages 1-6, C. Bennett, R. Sharpley
ON THE BEST CO-APPROXIMATION IN A HILBERT SPACE, Pages 7-10, H. Berens, U. Westphal
WHAT IS THE MAIN DIAGONAL OF A BIINFINITE BAND MATRIX?, Pages 11-23, Carl de Boor
RATIONAL APPROXIMATION AND EXOTIC LIPSCHITZ SPACES, Pages 25-30, Yu. A. Brudnyi
SOME MATHEMATICAL PROPERTIES OF EMPIRICAL GIBBS FUNCTIONS, Pages 31-47, H.G. Burchard, R.A. Waldo
MULTIVARIATE INTERPOLATION AND THE RADON TRANSFORM, PART II: SOME FURTHER EXAMPLES, Pages 49-62, A.S. Cavaretta Jr., Charles A. Micchelli, A. Sharma
LACUNARY TRIGONOMETRIC INTERPOLATION ON EQUIDISTANT NODES, Pages 63-80, A.S. Cavaretta, A. Sharma, R.S. Varga
MONOTONE APPROXIMATION BY SPLINE FUNCTIONS, Pages 81-98, C.K. Chui, P.W. Smith, J.D. Ward
APPROXIMATION BY SMOOTH MULTIVARIATE SPLINES ON NON-UNIFORM GRIDS, Pages 99-114, Wolfgang Dahmen
APPROXIMATION BY SMALL RANK TENSOR PRODUCTS OF SPLINES, Pages 115-120, S. Demko
VARIABLE KNOT, VARIABLE DEGREE SPLINE APPROXIMATION TO Xβ, Pages 121-131, R. DeVore, K. Scherer
ON SHARP NECESSARY CONDITIONS FOR RADIAL FOURIER MULTIPLIERS, Pages 133-142, George Gasper, Walter Trebels
APPROXIMATING BIVARIATE FUNCTIONS AND MATRICES BY NOMOGRAPHIC FUNCTIONS, Pages 143-151, M.V. Golitschek
L∞-BOUNDS OF L2-PROJECTIONS ON SPLINES, Pages 153-162, B. Güsmann
DIAMETERS OF CLASSES OF SMOOTH FUNCTIONS, Pages 163-175, Klaus Höllig
ON ESTIMATES OF DIAMETERS, Pages 177-184, B.S. Kashin
BOUNDS FOR THE ERROR IN TRIGONOMETRIC HERMITE INTERPOLATION, Pages 185-196, P.E. Koch, T. Lyche
BIRKHOFF INTERPOLATION: SOME APPLICATIONS OF COALESCENCE, Pages 197-208, G.G. Lorentz, S.D. Riemenschneider
n-WIDTHS OF OCTAHEDRA, Pages 209-216, Avraham A. Melkman
THE APPROXIMATION OF MULTIPLE INTEGRALS BY USING INTERPOLATORY CUBATURE FORMULAE, Pages 217-243, I.P. Mysovskikh
INTERPOLATORY CUBATURE FORMULAE AND REAL IDEALS, Pages 245-254, H.J. Schmid
STRONG UNIQUENESS OF BEST APPROXIMATIONS AND WEAK CHEBYSHEV SYSTEMS, Pages 255-266, G. Nürnberger
ON THE CONNECTION BETWEEN RATIONAL UNIFORM APPROXIMATION AND POLYNOMIAL Lp APPROXIMATION OF FUNCTIONS, Pages 267-277, V.A. Popov
BEST CHEBYSHEV APPROXIMATION BY SMOOTH FUNCTIONS, Pages 279-289, U. Sattes
APPROXIMATIONS IN THE HARDY SPACE (D) WITH RESPECT TO THE NORM TOPOLOGY, Pages 291-300, Walter Schempp
CONTINUOUS SELECTIONS FOR METRIC PROJECTIONS, Pages 301-317, M. Sommer
PROBLEMS, Pages 319-324