Approximation theory: a volume dedicated to Borislav BojanovDimitar K. Dimitrov, Borislav D. Bojanov This volume is dedicated to the sixtieth anniversary of Professor Borislav Bojanov. It is a collection of twenty-one papers, written by highly respected colleagues and friends as well as by some of his former students. Contents include: On Jackson's Inequalities for Approximations in L2 of Periodic Functions by Trigonometric Polynomials and of Functions on the Line by Entire Functions; The Olovyanishnikov Inequality for Multivariate Functions; Bernstein-Durrmeyer Type Quasi-Interpolants on Intervals; Adaptive Approximation of Curves; An Efficient Definition of the Divided Difference; Extended Cubature Formula of Turan Type (0,2) for the Ball, The Multivariate Fundamental Theorem of Algebra, Bezout's Theorem and Nullstellensatz, Canonical Point Sets for Best One-Sided L1-Approximation by Quasi-Blending Functions, A Characterization Theorem for the K-functional for Kantorovich and Durrmeyer Operators, Some Error Estimates in Learning Theory, B-Spaces and their Characterization via Anistropic Franklin Bases; On Optimal Recovery of Heat Equation Solutions; Markov's Inequalities in Integral Norm for Oscillating Weighted Polynomials; Standard and non-standard quadratures of Gaussian Type; Inequalities for Real-Root Polynomials; On Smooth Interpolation; Thoughts over the Smale's Mean Value Conjecture; Twelve Proofs of the Markov Inequality; New Technique for Error Analysis of Finite Element Approximations of Parabolic Problems with Non-Smooth Initial Data; On Generalized Tractability for Multivariate Problems; On Polynomial Interpolation on the Unit Ball. |
What people are saying - Write a review
We haven't found any reviews in the usual places.
Contents
On Jacksons Inequalities for Approximations in L2 of Periodic | 1 |
The Olovyanishnikov Inequality for Multivariate Functions | 20 |
Adaptive Approximation of Curves | 43 |
Copyright | |
8 other sections not shown
Common terms and phrases
Academic Publishing House algebraic polynomials algorithm Approx Approximation Theory assume B-spaces Bernstein best one-sided Blagovest Sendov Bojanov D. K. Dimitrov Borislav Bojanov D. K. Chebyshev polynomial coefficients Conjecture consider Corollary cubature formula curves dedicated to Borislav defined denote Department of Mathematics derivatives differential divided difference Drinov Academic Publishing Duffin-Schaeffer E-mail encoding equation error estimates extended cubature finite function Gaussian quadrature given hence Hermite interpolation holds true implies integral interpolation polynomial Jackson's inequality Lemma Marin Drinov Marin Drinov Academic Markov inequality Markov's inequality Math modulus modulus of continuity multiple multivariate Nikolov nodes nonnegative norm notation obtain operator optimal recovery paper perfect splines point sets pointwise polygonal polynomial interpolation polynomial of degree proof of Theorem proved quadrature formula respect Russian sequence Sofia solution space tensor product tractability trigonometric polynomials Uluchev unique variables volume dedicated Zolotarev polynomial
Bibliographic information
| Title | Approximation theory: a volume dedicated to Borislav Bojanov |
| Editors | Dimitar K. Dimitrov, Borislav D. Bojanov |
| Publisher | Marin Drinov Academic Publishing House, 2004 |
| Original from | the University of Michigan |
| Digitized | Feb 2, 2010 |
| ISBN | 9543220387, 9789543220380 |
| Length | 338 pages |
| Subjects | › › Approximation theory Mathematics / Functional Analysis Mathematics / Mathematical Analysis Science / Mechanics / General |
| Export Citation | BiBTeX EndNote RefMan |