2010•Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)Requires access

Approximation of trigonometric functions by trigonometric polynomials with interpolation

Roald Mikhailovich Trigub

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Abstract

The paper studies the approximation order of periodic functions by trigonometric polynomials with interpolation in arbitrary set of nodes. A method of construction of Hermite interpolation polynomials is pointed out.

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What this paper is about

The paper studies the approximation order of periodic functions by trigonometric polynomials with interpolation in arbitrary set of nodes. A method of construction of Hermite interpolation polynomials is pointed out.

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Available abstract

The paper studies the approximation order of periodic functions by trigonometric polynomials with interpolation in arbitrary set of nodes. A method of construction of Hermite interpolation polynomials is pointed out.

Key concepts: Trigonometric interpolation, Mathematics, Trigonometric integral, Trigonometric substitution, Trigonometric polynomial, Differentiation of trigonometric functions, Trigonometry, Interpolation (computer graphics)

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