๐”– Scriptorium
โœฆ   LIBER   โœฆ

๐Ÿ“

Lectures on approximation by polynomials

โœ Scribed by Burkill J.G.


Publisher
Tata Institute of Fundamental Research
Year
1959
Tongue
English
Leaves
75
Category
Library

โฌ‡  Acquire This Volume

No coin nor oath required. For personal study only.

โœฆ Table of Contents


Weierstrass's Theorem
Approximation by Polynomials
Singular Integrals and Landau's Proof
Bernstein Polynomials
The Polynomial of Best Approximation...
The Lagrange Polynomial
Best Approximation
Chebyshev polynomials
Approximations to |x|
Oscillating polynomials
Approximation to |x|
Trigonometric Polynomials
Trigonometric polynomials. Modulus of Continuity
Fourier and Fejer Sums
Inequalities, etc.
Bernstein's and Markoff's Inequalities
Structural Properties Depend on the...
Divergence of the Lagrange Sequence
Approximation in Terms of Differences
Definition and Properties of the nth Difference
Runge's Theorem
Interpolation
Best Approximation


๐Ÿ“œ SIMILAR VOLUMES


Polynomial approximation on polytopes
โœ Vilmos Totik ๐Ÿ“‚ Library ๐Ÿ“… 2014 ๐Ÿ› Amer Mathematical Society ๐ŸŒ English

Polynomial approximation on convex polytopes in d is considered in uniform and Lp-norms. For an appropriate modulus of smoothness matching direct and converse estimates are proven. In the Lp -case so called strong direct and converse results are also verified. The equivalence of the moduli of smooth

Interpolation and Approximation by Polyn
โœ George M. Phillips ๐Ÿ“‚ Library ๐Ÿ“… 2003 ๐Ÿ› Springer ๐ŸŒ English

This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics.

Interpolation and Approximation by Polyn
โœ George M. Phillips ๐Ÿ“‚ Library ๐Ÿ“… 2003 ๐ŸŒ English

This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics