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Dedicated to the well-respected research mathematician Ambikeshwar
Sharma, Frontiers in Interpolation and Approximation explores
approximation theory, interpolation theory, and classical analysis.
Written by authoritative international mathematicians, this book
presents many important results in classical analysis, wavelets,
and interpolation theory. Some topics covered are Markov
inequalities for multivariate polynomials, analogues of Chebyshev
and Bernstein inequalities for multivariate polynomials, various
measures of the smoothness of functions, and the equivalence of
Hausdorff continuity and pointwise Hausdorff-Lipschitz continuity
of a restricted center multifunction. The book also provides basic
facts about interpolation, discussing classes of entire functions
such as algebraic polynomials, trigonometric polynomials, and
nonperiodic transcendental entire functions. Containing both
original research and comprehensive surveys, this book provides
researchers and graduate students with important results of
interpolation and approximation.
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