FRACTAL TRIGONOMETRIC POLYNOMIALS FOR RESTRICTED RANGE APPROXIMATION-Reference-Cited by-同舟云学术

FRACTAL TRIGONOMETRIC POLYNOMIALS FOR RESTRICTED RANGE APPROXIMATION

Published:2016-06 Issue:02 Volume:24 Page:1650022
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

CHAND A. K. B.¹,NAVASCUÉS M. A.²,VISWANATHAN P.³⁴,KATIYAR S. K.¹

Affiliation:

1. Department of Mathematics, Indian Institute of Technology, Madras, Chennai 600036, India

2. Departamento de Matemática Aplicada, Escuela de Ingeniería y Arquitectura, Universidad de Zaragoza, C/María de Luna 3, Zaragoza 50018, Spain

3. Mathematical Sciences Institute, Australian National University, Canberra ACT 2600, Australia

4. Department of Mathematics, Indian Institute of Technology, Delhi, New Delhi 110016, India

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X16500225

Reference31 articles.

1. The Fractal Geometry of Nature

2. Thinking in Patterns

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