Convergence Behavior of Sampling Operators on Certain Mixed Lebesgue Spaces
Implementing Organization
Indian Institute of Technology (IIT)
Principal Investigator
Dr. Sathish Kumar A
Indian Institute of Technology (IIT)
About
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
Science and Engineering Research Board (SERB), New Delhi
Anusandhan National Research Foundation (ANRF)
Quick Information
Area of Research
Mathematical Sciences
Start Year
2024
End Year
2027
Sanction Amount
₹ 21.93 L
Status
Ongoing
Contact
mathsatish9@gmail.com
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
No. of Patents
Filed :00
Grant :00
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