×

img Accessibility Controls

Research Projects Banner

Research Projects

Convergence Behavior of Sampling Operators on Certain Mixed Lebesgue Spaces

Implementing Organization

Principal Investigator
Dr. Sathish Kumar A
Indian Institute Of Technology (IIT) Madras, Tamil Nadu

Project Overview

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.

Source

Source
Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24
Funding Organization
Quick Information
Area of Research
Mathematical Sciences
Start Date
2024
End Date
2027
Status
ongoing
Contact
mathsatish9@gmail.com
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
Publications
00
No. of Patents
Filed : 00
Grant : 00
arrowtop
Latest Updates
Loading…