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Extremal Properties of Polynomials & Splines

Extremal Properties of Polynomials & Splines;

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Chebyshev Splines and Kolmogorov Inequalities

This text describes the development of the theory of extremal functions in nonperiodic functional classes defined by a majorizing modulus;

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A Blossoming Development of Splines

. Bezier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the;

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Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

and applied sciences; in particular they play a fundamental role in approximation theory.Here, not only Extremal Problems and Inequalities;

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Approximation with Quasi-Splines

In the theory of splines, a function is approximated piece-wise by (usually cubic) polynomials. Quasi-splines is the natural extension;

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Approximation

polynomials, splines, and operators, and applications to stochastics; numerical methods for approximation of deterministic and stochastic integrals;

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Approximation by Spline Functions

Splines play an important role in applied mathematics since they possess high flexibility to approximate efficiently, even nonsmooth;

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Finite Geometries

to solutions of open problems in different fields, such as design theory, cryptography and extremal combinatorics. Other areas covered;

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Finite Geometries

solutions of open problems in different fields, such as design theory, cryptography and extremal combinatorics. Other areas covered include proof;

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Orthogonal Polynomials in Two Variables

Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials;

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General Orthogonal Polynomials

methods and the results can be extended to extremal polynomials in norms other than L2 norms. A sketch of the theory of logarithmic potentials;

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General Orthogonal Polynomials

methods and the results can be extended to extremal polynomials in norms other than L2 norms. A sketch of the theory of logarithmic potentials;

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Spline and Spline Wavelet Methods with Applications to Signal and Image Processi

briefly outlines a broad range of polynomial and discrete splines with equidistant nodes and their signal-processing-relevant properties;

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Interpolation and Approximation with Splines and fractals

surfaces, and their properties. This also includes the new burgeoning theory of superfractals and superfractal functions. The theory of splines;

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Spline Functions on Triangulations

analysis, and numerical analysis. The theory of univariate splines is well known but this text is the first comprehensive treatment of the;

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Algebraic Combinatorics

of a graph. It is instructive to consider these polynomials together because they have a number of properties in common. The matchings;

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Encyclopedia of Mathematics and its Applications

of approximation theory that is concerned with exact constants. The results apply mainly to extremal problems in approximation theory, which in turn are;

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Encyclopedia of Mathematics and its Applications

of approximation theory that is concerned with exact constants. The results apply mainly to extremal problems in approximation theory, which in turn are;

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Extremal Finite Set Theory

Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main;

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Extremal Finite Set Theory

Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main;

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Practical Smoothing

This is a practical guide to P-splines, a simple, flexible and powerful tool for smoothing. P-splines combine regression on B-splines with;

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Chebyshev Polynomials

rigorous yet down-to-earth coverage of the theory along with an in-depth look at the properties of all four kinds of Chebyshev polynomials;

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Elliptic Polynomials

intersects with classical subjects at many points. Its wealth of information on important properties of polynomials and clear, accessible;

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Elliptic Polynomials

intersects with classical subjects at many points. Its wealth of information on important properties of polynomials and clear, accessible;

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Q-difference Operators, Orthogonal Polynomials and Symmetric Expansions

well-known classes of orthogonal polynomials. A number of basic properties of these polynomials follow from our approach. This leads naturally;

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Number Theory And Polynomials

Many areas of active research within the broad field of number theory relate to properties of polynomials, and this volume displays the;

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Distance-Regular Graphs

properties, the concept of a distance-regular graph arises naturally as a common setting for regular graphs which are extremal in one sense or;

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