Analysis and its applications have been major areas for research in mathematics and allied fields. The fast growing power of computation has made a significant and useful impact in these areas. This has lead to computational analysis and the emergence of fields like Bezier-Bernstein methods for computer-aided geometric design, constructive approximation and wavelets, and even computational harmonic analysis. Analysis and Applications consists of research articles, including a few survey articles, by eminent mathematicians projecting trends in constructive and computational approximation, summability theory, optimal control and theory and applications of function spaces and wavelets.
Table of Contents
DEDICATION. PREFACE. On Difference Sequence Spaces. Some Function Space Inequalities and their Application to Oscillation and Stability Problems in Differential Equations. An Estimate of the Rate of Convergence of Fourier Series in the Generalized Holder Metric. Interpolation on Nonumiformly Distributed Points in the Complex Plane. A Two Dimensional Knopp Inequality with Weights. Dual Algebra Techniques and the Invariant Subspace Problem. Homogenization of Some Low Cost Control Problems. Odd-Degree Deficient Splines. Strong Matrix Domains, Matrix Transformations Between them and the Hausdorff Measure of Noncompactness. On Construction of Partially Balanced Part n-Ary Block Designs. On the Total Variation of Bernstein Polynomials. Strong Unicity in Simultaneous Approximation. The Wavelet Transform in Fourier Space. Extended Tauberian Theorem. The Uncertainty Principle on Riemannian Manifolds. The Exponential Function on the Banach Algebra of Conservative Matrices. On Linear-Topological Properties of Convex Families of Normal Matrix Methods.