Analysis and ApplicationsH. P. Dikshit, Pawan K. Jain 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. |
Contents
On Difference Sequence Spaces | 1 |
Some Function Space Inequalities and their Application | 19 |
An Estimate of the Rate of Convergence of Fourier Series | 43 |
Interpolation on Nonuniformly Distributed Points in | 61 |
A Two Dimensional Knopp Inequality with Weights | 93 |
Dual Algebra Techniques and the Invariant Subspace | 101 |
Homogenization of Some Low Cost Control Problems | 121 |
OddDegree Deficient Splines | 131 |
On Construction of Partially Balanced Part nAry | 179 |
On the Total Variation of Bernstein Polynomials | 189 |
Strong Unicity in Simultaneous Approximation | 207 |
The Wavelet Transform in Fourier Space | 221 |
The Uncertainty Principle on Riemannian Manifolds | 251 |
The Exponential Function on the Banach Algebra of | 267 |
On LinearTopological Properties of Convex Families of | 277 |
| 291 | |
Other editions - View all
Common terms and phrases
Applications H.P. Dikshit approximation b₁ b₂ Banach space Bernstein polynomials Birkhoff interpolation bounded coefficients compact completes the proof complex number convergence convex Corollary defined denote design with parameters difference sequence spaces Dikshit and Pawan eigenvalue equations equivalent exists FK space Fourier function ƒ given Hausdorff measure Hence Hilbert space holds implies incidence matrix India inequality invariant subspace isometry l₁ Lemma Lie group linear linear subspace MA(X Math Mathematics matrix domains matrix transformations measure of noncompactness Mursaleen Narosa Publishing House nonzero norm normal matrix obtain operator Pál-type problem PBIB design positive integer problem of interpolation proof of Theorem real-analytic regular Riemannian manifold Riemannian metric satisfies sequence spaces smooth manifold splines SUBSA subset summable Theorem 2.1 Theory two-norm space unitary wavelet transform zero λη λυ