Fractal functions with function scaling factors as solutions of (0,4) lacunary interpolation problem

P. Viswanathan; M. A. Navascués

doi:10.1016/j.chaos.2015.08.028

Fractal functions with function scaling factors as solutions of (0,4) lacunary interpolation problem

P. Viswanathan^*, M. A. Navascués

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

This article aims to present a family of fractal functions that provides solutions to a (0, 4) lacunary interpolation problem based on methodology of fractal perturbation with function scaling factors. Approximation orders for the proposed class of fractal interpolants and their derivatives are provided. With an eye towards "optimal" perturbation, a strategy to select suitable constant scaling factors is outlined.

Original language	English
Pages (from-to)	98-102
Number of pages	5
Journal	Chaos, Solitons and Fractals
Volume	81
DOIs	https://doi.org/10.1016/j.chaos.2015.08.028
Publication status	Published - 1 Dec 2015

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abstract = "This article aims to present a family of fractal functions that provides solutions to a (0, 4) lacunary interpolation problem based on methodology of fractal perturbation with function scaling factors. Approximation orders for the proposed class of fractal interpolants and their derivatives are provided. With an eye towards {"}optimal{"} perturbation, a strategy to select suitable constant scaling factors is outlined.",

keywords = "Approximation order, Convex optimization, Fractal function, Function scaling factors, Holladay functional, Lacunary interpolation",

author = "P. Viswanathan and Navascu{\'e}s, {M. A.}",

note = "Publisher Copyright: {\textcopyright} 2015 Published by Elsevier Ltd.",

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AU - Navascués, M. A.

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N2 - This article aims to present a family of fractal functions that provides solutions to a (0, 4) lacunary interpolation problem based on methodology of fractal perturbation with function scaling factors. Approximation orders for the proposed class of fractal interpolants and their derivatives are provided. With an eye towards "optimal" perturbation, a strategy to select suitable constant scaling factors is outlined.

AB - This article aims to present a family of fractal functions that provides solutions to a (0, 4) lacunary interpolation problem based on methodology of fractal perturbation with function scaling factors. Approximation orders for the proposed class of fractal interpolants and their derivatives are provided. With an eye towards "optimal" perturbation, a strategy to select suitable constant scaling factors is outlined.

KW - Approximation order

KW - Convex optimization

KW - Fractal function

KW - Function scaling factors

KW - Holladay functional

KW - Lacunary interpolation

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DO - 10.1016/j.chaos.2015.08.028

M3 - Article

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SP - 98

EP - 102

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

ER -

Fractal functions with function scaling factors as solutions of (0,4) lacunary interpolation problem

Abstract

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