Twelve Papers on Approximations and Integrals

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American Mathematical Soc., Dec 31, 1965 - Approximation theory - 268 pages
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Contents

SIMULTANEOUS APPROXIMATION OF FUNCTIONS AND THEIR DERIVATIONS THE WHOLE REAL AXIS
1
BEST APPROXIMATION OF FUNCTIONS OF TWO VARIABLES BY FUNCTIONS OF THE FORM φx+φy
12
TWO CLASSES OF EXTREMAL PROBLEMS FOR POLYNOMIALS AND MOMENTS
29
ON APPROXIMATION WITH REFERENCE TO THE SIZE OF THE COEFFICIENTS OF THE APPROXIMANTS
67
ON APPROXIMATION OF FUNCTIONS IN THE SPACES ῶlPD AND ωlPD BY CONTINUOUSLY DIFFERENTIABLE FUNCTIONS
89
ON LIMIT VALUES OF MULTIPLICATIVE INTEGRALS
109
AN INEQUALITY IN THE THEORY OF FOURIER INTEGRALS
115
INTEGRALS OF CAUCHY TYPE
129
AN ABSTRACT INTEGRAL INVESTIGATED BY S BANACH
151
INTEGRAL TRANSFORMS WITH VOLTERRA KERNELS
155
THEORY OF GENERAL KERNEL TRANSFORMATIONS
192
THE REPRESENTATION OF MEASURABLE FUNCTIONS BY INTEGRALS WITH KERNELS OF UNITARY TRANSFORMATIONS OF THE SP...
241
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