5 citations · 16 across the 15 of their papers we have counts for
6 papers · 1 filter
Dimensional analysis of fractal interpolation functions
S. Verma, S. Jha
We provide a rigorous study on dimensions of fractal interpolation function defined on a closed and bounded interval of which is associated to a continuous function wi…
Bounded Variation on the Sierpinski Gasket
S. Verma, A. Sahu
Under certain continuity conditions, we estimate upper and lower box dimension of graph of a function defined on the Sierpinski gasket. We also give an upper bound for Hausdorff di…
Effect of the Riemann-Liouville fractional integral on unbounded variation points
S. Verma, Y. S. Liang
This paper targets to study the effect of the Riemann-Liouville fractional integral operator on unbounded variation points of a continuous function. In particular, we show that the…
Quantization dimension and stability for infinite self-similar measures with respect to geometric mean error
Mrinal K. Roychowdhury, Saurabh Verma
Let be a Borel probability measure associated with an iterated function system consisting of a countably infinite number of contracting similarities and an infinite probability…
A study on Quantization Dimension in complete metric spaces
Mrinal K. Roychowdhury, S. Verma
The primary objective of the present paper is to develop the theory of quantization dimension of an invariant measure associated with an iterated function system consisting of fini…
Dimension preserving approximation
S. Verma, Peter R. Massopust
This article introduces the novel notion of dimension preserving approximation for continuous functions defined on and initiates the study of it. Restrictions and extension…