25 citations · 28 across the 6 of their papers we have counts for
6 papers
Quantization dimensions for inhomogeneous bi-Lipschitz Iterated Function Systems
Amit Priyadarshi, Mrinal K. Roychowdhury, Manuj Verma
Let be a Borel probability measure on a -dimensional Euclidean space , , with a compact support, and let be a probabili…
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…
Quantization dimensions for the bi-Lipschitz recurrent Iterated function systems
Amit Priyadarshi, Mrinal K. Roychowdhury, Manuj Verma
In this paper, the quantization dimensions of the Borel probability measures supported on the limit sets of the bi-Lipschitz recurrent iterated function systems under the strong op…
Vector-valued fractal functions: Fractal dimension and Fractional calculus
Manuj Verma, Amit Priyadarshi, Saurabh Verma
There are many research available on the study of real-valued fractal interpolation function and fractal dimension of its graph. In this paper, our main focus is to study the dimen…
Fractal dimension for a class of complex-valued fractal interpolation functions
Manuj Verma, Amit Priyadarshi, Saurabh Verma
There are many research papers dealing with fractal dimension of real-valued fractal functions in the recent literature. The main focus of the present paper is to study fractal dim…
Graphs of continuous functions and fractal dimension
Manuj Verma, Amit Priyadarshi
In this paper, we show that, for any , a given strictly positive real-valued continuous function on whose graph has upper box-counting dimension less than or eq…