AbstractThe calculus of deterministic fractal functions is introduced. Fractal interpolation functions can be explicitly indefinitely integrated any number of times, yielding a hierarchy of successively smoother interpolation functions which generalize splines and which, just as in the case for the original fractal functions, are attractors for iterated function systems. The fractal dimension for a class of fractal interpolation functions is explicitly computed
This chapter provides an overview of several types of fractal interpolation functions that are often...
This paper generalizes the classical spline using a new construction of spline coalescence hidden va...
Fractal methodology provides a general setting for the understanding of realworld phenomena. In part...
AbstractThe calculus of deterministic fractal functions is introduced. Fractal interpolation functio...
In this paper, fractal calculus, which is called F α -calculus, is reviewed. Fractal calculus is imp...
In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is imple...
A continuous function defined on a closed interval can be of unbounded variation with certain fracta...
A continuous function defined on a closed interval can be of unbounded variation with certain fracta...
Classical ways to describe shape functions for finite element methods make use of interpolating or ...
Classical ways to describe shape functions for finite element methods make use of interpolating or ...
The fractal interpolation functions defined by iterated function systems provide new methods of appr...
AbstractBased on the construction of Fractal Interpolation Functions, a new construction of Fractal ...
An iterated function system that defines a fractal interpolation function, where ordinate scaling is...
An iterated function system that defines a fractal interpolation function, where ordinate scaling is...
This paper generalizes the classical spline using a new construction of spline coalescence hidden va...
This chapter provides an overview of several types of fractal interpolation functions that are often...
This paper generalizes the classical spline using a new construction of spline coalescence hidden va...
Fractal methodology provides a general setting for the understanding of realworld phenomena. In part...
AbstractThe calculus of deterministic fractal functions is introduced. Fractal interpolation functio...
In this paper, fractal calculus, which is called F α -calculus, is reviewed. Fractal calculus is imp...
In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is imple...
A continuous function defined on a closed interval can be of unbounded variation with certain fracta...
A continuous function defined on a closed interval can be of unbounded variation with certain fracta...
Classical ways to describe shape functions for finite element methods make use of interpolating or ...
Classical ways to describe shape functions for finite element methods make use of interpolating or ...
The fractal interpolation functions defined by iterated function systems provide new methods of appr...
AbstractBased on the construction of Fractal Interpolation Functions, a new construction of Fractal ...
An iterated function system that defines a fractal interpolation function, where ordinate scaling is...
An iterated function system that defines a fractal interpolation function, where ordinate scaling is...
This paper generalizes the classical spline using a new construction of spline coalescence hidden va...
This chapter provides an overview of several types of fractal interpolation functions that are often...
This paper generalizes the classical spline using a new construction of spline coalescence hidden va...
Fractal methodology provides a general setting for the understanding of realworld phenomena. In part...
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