FRACTAL TRIGONOMETRIC POLYNOMIALS for RESTRICTED RANGE APPROXIMATION

A. K.B. Chand; M. A. Navascués; P. Viswanathan; S. K. Katiyar

doi:10.1142/S0218348X16500225

FRACTAL TRIGONOMETRIC POLYNOMIALS for RESTRICTED RANGE APPROXIMATION

A. K.B. Chand^*, M. A. Navascués, P. Viswanathan, S. K. Katiyar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

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.

Original language	English
Article number	1650022
Journal	Fractals
Volume	24
Issue number	2
DOIs	https://doi.org/10.1142/S0218348X16500225
Publication status	Published - 1 Jun 2016

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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.",

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AU - Viswanathan, P.

AU - Katiyar, S. K.

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KW - Fractal Operator

KW - Fractal Trigonometric Polynomial

KW - One-Sided Approximation

KW - Parameter Identification

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FRACTAL TRIGONOMETRIC POLYNOMIALS for RESTRICTED RANGE APPROXIMATION

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