Constructive Theory of Functions of Several Variables - Info and Reading Options

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Intro -- Title Page -- Copyright Page -- Table of Contents -- ZUR NUMERISCHEN INTEGRATION USER KREISSEREICHEN -- Literatur -- Stability of Steiner Points -- 1. Introduction. -- Blending Interpolation Schemes on Triangles with Error Bounds -- 1. Introduction: -- COMPARISON THEOREMS FOR GENERALIZED MODULI OF CONTINUITY-VALUED MEASURES. -- 1. Introduction -- 2 . A theorem on directional module of continuity -- 3. Comparison theorems basic notions -- 4. Comparison theorems for vector-valued measures -- 5 . An algebraic lemma -- 6. Proof of the Comparison Theorem -- 7 . Application to directional moduli of continuity -- 8 . Remarks on the Tauberian Condition -- N-th ORDER BLENDING -- 1. Minimum norm interpolation and classical blending -- 2 . N- th order blending -- 3. Approximation of functionals -- 4. Application to cubature -- On Summation Processes of Fourier EXpansions for Spherical Functions -- 1. Introduction -- 2 . Fourier series and zonal multipliers on compact homogeneous spaces -- 3. Preliminaries on roots and representations -- 4 . Restriction theorems and a Poisson formula -- 5 . Construction of summation processes -- 6. Concluding remarks -- SPLI NES MINIMIZING ROTATlON-INVARIANT SEMI-NORMS IN SOBOLEY SPACES -- ABSTRACT -- 0 - INTRODUCTION -- 1 - FUNCTIONAL SPACES -- 2 - EXISTENCES AND UNIQUENESS -- 3 - REPRODUCING KERNEL OD D-m H-s -- 4 - A GENERAL CHARACTERlZATION RESULT -- 5 - EXAMPLES -- 6 - CONVERGENCE -- ON MULTIVARIATE APPROXIMATION BY CONTINUOUS LINEAR OPERATORS -- 1. Introduction -- 2 . Normed tensor products and convergence theorems -- 3. Applications -- A NOTE ON NUMERICAL FOURIER ANALYSIS AND UNIFORM APPROXIMATION ON CUBES -- o. Introduction -- 1 . The case n - l -- 2. The multivariate case -- 3. Concluding remarks -- ON THE EQUIVALENCE OF THE K- FONCTIONAL AND MODULI Of CONTINUITY AND SOME APPLICATIONS

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