Standard

Affine zipper fractal interpolation functions. / Chand, A. K.B.; Vijender, N.; Viswanathan, P. et al.

In: BIT Numerical Mathematics, Vol. 60, No. 2, 01.06.2020, p. 319-344.

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

Harvard

Chand, AKB, Vijender, N, Viswanathan, P & Tetenov, AV 2020, 'Affine zipper fractal interpolation functions', BIT Numerical Mathematics, vol. 60, no. 2, pp. 319-344. https://doi.org/10.1007/s10543-019-00774-3

APA

Chand, A. K. B., Vijender, N., Viswanathan, P., & Tetenov, A. V. (2020). Affine zipper fractal interpolation functions. BIT Numerical Mathematics, 60(2), 319-344. https://doi.org/10.1007/s10543-019-00774-3

Vancouver

Chand AKB, Vijender N, Viswanathan P, Tetenov AV. Affine zipper fractal interpolation functions. BIT Numerical Mathematics. 2020 Jun 1;60(2):319-344. doi: 10.1007/s10543-019-00774-3

Author

Chand, A. K.B. ; Vijender, N. ; Viswanathan, P. et al. / Affine zipper fractal interpolation functions. In: BIT Numerical Mathematics. 2020 ; Vol. 60, No. 2. pp. 319-344.

BibTeX

@article{95e3942a8f11412eb548e0460f8e5edc,
title = "Affine zipper fractal interpolation functions",
abstract = "This paper introduces a univariate interpolation scheme using a binary parameter called signature such that the graph of the interpolant—which we refer to as affine zipper fractal interpolation function—is obtained as an attractor of a suitable affine zipper. The scaling vector function is identified so that the graph of the corresponding affine zipper fractal interpolation function can be inscribed within a prescribed rectangle. Convergence analysis of the proposed affine zipper fractal interpolant is carried out. It is observed that for a fixed choice of discrete scaling factors, the box counting dimension of the graph of an affine zipper fractal interpolant is independent of the choice of a signature. Several examples of affine zipper fractal interpolants are presented to supplement our theory.",
keywords = "Affine zipper fractal function, Box counting dimension, Fractal interpolation function, Integral equation, Zipper",
author = "Chand, {A. K.B.} and N. Vijender and P. Viswanathan and Tetenov, {A. V.}",
year = "2020",
month = jun,
day = "1",
doi = "10.1007/s10543-019-00774-3",
language = "English",
volume = "60",
pages = "319--344",
journal = "BIT Numerical Mathematics",
issn = "0006-3835",
publisher = "Springer Netherlands",
number = "2",

}

RIS

TY - JOUR

T1 - Affine zipper fractal interpolation functions

AU - Chand, A. K.B.

AU - Vijender, N.

AU - Viswanathan, P.

AU - Tetenov, A. V.

PY - 2020/6/1

Y1 - 2020/6/1

N2 - This paper introduces a univariate interpolation scheme using a binary parameter called signature such that the graph of the interpolant—which we refer to as affine zipper fractal interpolation function—is obtained as an attractor of a suitable affine zipper. The scaling vector function is identified so that the graph of the corresponding affine zipper fractal interpolation function can be inscribed within a prescribed rectangle. Convergence analysis of the proposed affine zipper fractal interpolant is carried out. It is observed that for a fixed choice of discrete scaling factors, the box counting dimension of the graph of an affine zipper fractal interpolant is independent of the choice of a signature. Several examples of affine zipper fractal interpolants are presented to supplement our theory.

AB - This paper introduces a univariate interpolation scheme using a binary parameter called signature such that the graph of the interpolant—which we refer to as affine zipper fractal interpolation function—is obtained as an attractor of a suitable affine zipper. The scaling vector function is identified so that the graph of the corresponding affine zipper fractal interpolation function can be inscribed within a prescribed rectangle. Convergence analysis of the proposed affine zipper fractal interpolant is carried out. It is observed that for a fixed choice of discrete scaling factors, the box counting dimension of the graph of an affine zipper fractal interpolant is independent of the choice of a signature. Several examples of affine zipper fractal interpolants are presented to supplement our theory.

KW - Affine zipper fractal function

KW - Box counting dimension

KW - Fractal interpolation function

KW - Integral equation

KW - Zipper

UR - http://www.scopus.com/inward/record.url?scp=85085961721&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=43295044

U2 - 10.1007/s10543-019-00774-3

DO - 10.1007/s10543-019-00774-3

M3 - Article

AN - SCOPUS:85085961721

VL - 60

SP - 319

EP - 344

JO - BIT Numerical Mathematics

JF - BIT Numerical Mathematics

SN - 0006-3835

IS - 2

ER -

ID: 25329914