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Mathematical expectation of continuous functions of random variables. Smoothness and variance

- L. I. Strukov, A. Timan
- Mathematics
- 1977

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Any separable ultrametric space can be isometrically imbedded inl2

- A. Timan, I. A. Vestfrid
- Mathematics
- 1983

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THE BEST APPROXIMATION

- A. Timan
- Mathematics
- 1963

This chapter explains the best approximation by polynomials on a finite segment. In the determination of the best approximation of functions, it would be possible in place of the closed bounded… Expand

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WEIERSTRASS'S THEOREM

- A. Timan
- Mathematics
- 1963

This chapter provides an overview of Weierstrass's theorem. The basis of the theory of approximation of functions of a real variable is a theorem discovered by Weierstrass that is of great importance… Expand

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CONVERSE THEOREMS. CONSTRUCTIVE CHARACTERISTICS OF SOME CLASSES OF FUNCTIONS

- A. Timan
- Mathematics
- 1963

This chapter discusses differential properties of functions with a given sequence of best Approximations, It is possible in some cases to give a complete description in terms of the best… Expand

Deformation of Metric Spaces and Some Related Problems of the Theory of Functions

- A. Timan
- Mathematics
- 30 April 1965

CONTENTSPreface ??1. Statement of the problem, physical interpretation and fundamental result ??2. The space consisting of a finite number of elements. Problem of the deviation of polyhedra ??3. Some… Expand

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SOME PROPERTIES OF ALGEBRAIC POLYNOMIALS AND TRANSCENDENTAL INTEGRAL FUNCTIONS OF EXPONENTIAL TYPE

- A. Timan
- Mathematics
- 1963

This chapter discusses the properties of algebraic polynomials and transcendental integral functions of exponential type. Among all possible distributions of the points x 0 , x l …, x n… Expand

Exact constants in some converse theorems for approximations by trigonometric polynomials

- A. Timan, V. Trofimov
- Mathematics
- 1 November 1976

It is known that if the continuous 2π-periodic function f(x) belongs to the class w(r) (r=1, 2, ...), i.e., it has an absolutely continuous derivative of order r—1 such that we have almost everywhere

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LINEAR PROCESSES OF APPROXIMATION OF FUNCTIONS BY POLYNOMIALS AND SOME ESTIMATES CONNECTED WITH THEM

- A. Timan
- Mathematics
- 1963

This chapter explains the linear processes of approximation of functions by polynomials and some estimates connected with them. The exact determination of polynomials is successfully achieved when F… Expand

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