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FRACTAL TRIGONOMETRIC POLYNOMIALS for RESTRICTED RANGE APPROXIMATION
, Saurabh K. Katiyar
Published in World Scientific Publishing Co. Pte Ltd
2016
Volume: 24
   
Issue: 2
Abstract
One-sided approximation tackles the problem of approximation of a prescribed function by simple traditional functions such as polynomials or trigonometric functions that lie completely above or below it. In this paper, we use the concept of fractal interpolation function (FIF), precisely of fractal trigonometric polynomials, to construct one-sided uniform approximants for some classes of continuous functions. © 2016 World Scientific Publishing Company.
About the journal
JournalFractals
PublisherWorld Scientific Publishing Co. Pte Ltd
ISSN0218348X
Open AccessNo
Concepts (12)
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    Computational mechanics
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    Functions
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    Identification (control systems)
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    Interpolation
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    Polynomial approximation
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    APPROXIMANTS
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    Continuous functions
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    FRACTAL INTERPOLATION FUNCTIONS
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    ONE-SIDED APPROXIMATION
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    Trigonometric functions
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    TRIGONOMETRIC POLYNOMIAL
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    Fractals