Research

During my doctoral studies, I explored fractal interpolation and approximation, along with some operator-theoretic properties of the corresponding fractal operator in various function spaces, particularly emphasizing the multivariate setting. Currently, my research focuses on splines and approximation theory, their applications, and integration with other mathematical fields — primarily fractals — to yield interesting outcomes.

Journal Articles

1. K.K. Pandey, N.A. Secelean, P. Viswanathan, On bivariate fractal interpolation for countable data and associated nonlinear fractal operator, Demonstratio Mathematica, 57 (2024), 20240014.

2. K.K. Pandey, P. Viswanathan, Some Elementary Properties of Bernstein-Kantorovich Operators on Mixed Norm Lebesgue Spaces and their Implications in Fractal Approximation, Nonlinear Analysis: Theory, Methods and Applications, 239 (2024), 113416. 

3. K.K. Pandey, P. Viswanathan, Multivariate fractal interpolation functions: Some approximation aspects and associated fractal interpolation operator, Electronic Transactions on Numerical Analysis, 55 (2022), 627-651.

4. K.K. Pandey, P. Viswanathan, In reference to a self-referential approach towards smooth multivariate approximation, Numerical Algorithms, 91 (2022), 251–281.

5. K.K. Pandey, P. Viswanathan, Multivariate fractal functions in some complete function spaces and fractional integral of continuous fractal functions, Fractal and Fractional, 5(4), 185 (2021), 19 pages. 

6. K.K. Pandey, P. Viswanathan, Countable zipper fractal interpolation and some elementary aspects of the associated nonlinear zipper fractal operator, Aequationes Mathematicae, 95, (2021), 175-200.

Conference Proceedings

1. K.K. Pandey, S. Verma, P. Viswanathan, Additive Decomposition of Vector-valued Continuous Functions with some Dimensional Considerations of the Summands, Dynamic Systems and Applications, 32 (2023), 351-368.