Research
Title : | Convergence Behavior of Sampling Operators on Certain Mixed Lebesgue Spaces |
Area of research : | Mathematical Sciences |
Principal Investigator : | Dr. Sathish Kumar A, Indian Institute Of Technology (IIT) Madras, Tamil Nadu |
Timeline Start Year : | 2024 |
Timeline End Year : | 2027 |
Contact info : | mathsatish9@gmail.com |
Equipments : | Desktop |
Details
Executive Summary : | In this project, researchers try to analyse the direct and inverse approximation results for the classical Shannon sampling operators and Kantorovich sampling operators for functions in mixed Lebesgue spaces. A direct theorem provides the order of approximation for functions of a specified smoothness and an inverse theorem infers the nature of smoothness of a function when the order of approximation is specified. One of the important reason to analyse the sampling operators in mixed Lebesgue spaces is one can approximate the not necessarily a continuous functions and we can try to deduce the convergence theorems in other functions spaces. |
Total Budget (INR): | 21,92,674 |
Organizations involved
Implementing Agency : | Indian Institute Of Technology (IIT) Madras, Tamil Nadu Funding Agency :Anusandhan National Rsearch Foundation (ANRF)/Science and Engineering Research Board (SERB) | Source :Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24 | |