Box dimension of α-fractal function with variable scaling factors in subintervals

MN Akhtar, MGP Prasad, MA Navascués - Chaos, Solitons & Fractals, 2017 - Elsevier
The box dimension of the graph of non-affine α-fractal interpolation function f α with variable
scaling factors is estimated in the interval [0, 1]. Due to the non-affinity of f α, the behavior of …

The Implication of Local Thin Plate Splines for Solving Nonlinear Mixed Integro-Differential Equations Based on the Galerkin Scheme.

P Assari, F Asadi-Mehregan… - … : Theory, Methods & …, 2019 - search.ebscohost.com
In this article, we investigate the construction of a computational method for solving
nonlinear mixed Volterra-Fredholm integro-differential equations of the second kind. The …

Shape preserving constrained and monotonic rational quintic fractal interpolation functions

AKB Chand, KR Tyada - International Journal of Advances in Engineering …, 2018 - Springer
Shape preserving interpolants play important role in applied science and engineering. In
this paper, we develop a new class of C^ 2 C 2-rational quintic fractal interpolation function …

[PDF][PDF] CONSTRAINED SHAPE PRESERVING RATIONAL QUINTIC FRACTAL INTERPOLATION FUNCTIONS

ADV MATH - academia.edu
CONSTRAINED SHAPE PRESERVING RATIONAL QUINTIC FRACTAL INTERPOLATION
FUNCTIONS 1. INTRODUCTION Fractal interpolation is the moder Page 1 ADV MATH SCI …

Tomic functions and lacunary interpolation series in boundary value problems for partial derivatives equations and image processing

VO Rvachov, TV Rvachova, EP Tomilova - … and Computer Systems, 2020 - nti.khai.edu
In the paper we consider and solve the problem of construction of the so called tomic
functions–the systems of infinitely differentiable functions which while retaining many …

[HTML][HTML] GENERALIZED FRACTAL LACUNARY INTERPOLATION WITH VARIABLE SCALING PARAMETERS BASED ON EXTRAPOLATION SPLINE

S HE, X FENG - 数学杂志, 2020 - sxzz.whu.edu.cn
In this paper, the generalized Birkhoff $(0, m) $ lacunary interpolation problem for the fractal
function with proper perturbable parameters is investigated. An extrapolation algorithm is …

[引用][C] Constrained Shape Preserving Rational Quintic Fractal Interpolation Functions

KK Sneha