5 citations · 16 across the 15 of their papers we have counts for
15 papers
Fractal dimension for Inhomogeneous graph-directed attractors
Shivam Dubey, Saurabh Verma
In this paper, we define inhomogeneous Graph-Directed (GD) separation conditions for a given inhomogeneous GD Iterated Function Systems (IFS), and estimate the upper box dimension…
Construction of Fractal Functions Using Kannan Mappings and Smoothness Analysis
Subhash Chandra, Saurabh Verma, Syed Abbas
Let T be a self-map on a metric space (X, d). Then T is called the Kannan map if there exists α, 0 < α< 1/2, such that d(T(x), T(y)) <= α[d(x, T(x)) + d(y, T(y))], for all x, y in…
Fractal dimensions of fractal transformations and Quantization dimensions for bi-Lipschitz mappings
Manuj Verma, Amit Priyadarshi, Saurabh Verma
In this paper, we study the fractal dimension of the graph of a fractal transformation and also determine the quantization dimension of a probability measure supported on the graph…
Hausdorff dimension and infinitesimal similitudes on complete metric spaces
S. Verma
In this paper, we answer a question of Nussbaum, Priyadarshi, and Lunel [Positive operators and Hausdorff dimension of invariant sets, Trans. Amer. Math. Soc. 364(2) (2012) 1029-10…
On bivariate fractal approximation
V. Agrawal, T. Som, S. Verma
In this paper, the notion of dimension preserving approximation for real-valued bivariate continuous functions, defined on a rectangular domain $\rectangle$, has been introduced an…
Katugampola fractional integral and fractal dimension of bivariate functions
S. Verma, P. Viswanathan
The subject of this note is the mixed Katugampola fractional integral of a bivariate function defined on a rectangular region in the Cartesian plane. This is a natural extension of…