Department of Mathematics | Indian Institute Of Technology Madras , Chennai

Announcements

team

Dr.Sathish Kumar A

Assistant Professor

044 - [22]-57 [46]-36

sathishkumar

Personal Link

KCB 630

Approximation Theory, Sampling Operators

to email  add  username@iitm.ac.in'

Current Courses

  • 2025 Jan-May: Theory of Wavelets (modified) (MA6003 )

Previous Courses

  • 2024 Jul-Nov: Real Analysis (MA5330)

  • 2024 Jan-May: Series and Matrices (MA1102 )

  • 2023 Jul-Nov: Functions of Several Variables (MA1101)

  1. Approximation by Multivariate Max-Product Kantorovich Exponential Sampling Operators

    Author: A. Sathish Kumar

    Journal: Results in Mathematics

    Volume: 79

    Page: 22 pages

    DOI: https://doi.org/10.1007/s00025-023-02092-1

    Year: 2024

  2. Approximation of Discontinuous Functions by Kantorovich Exponential Sampling Series

    Author: A. Sathish Kumar, P. Kumar and P. Devaraj

    Journal: Analysis and Mathematical Physics

    Volume: 12

    Page: 21 pages

    DOI: https://doi.org/10.1007/s13324-022-00680-y

    Year: 2022

  3. Approximation of Discontinuous Signals by Exponential Sampling Series

    Author: A. Sathish Kumar, P. Kumar and P. Devaraj

    Journal: Results in Mathematics

    Volume: 77

    Page: 22 pages

    DOI: https://doi.org/10.1007/s00025-021-01551-x

    Year: 2022

  4. Approximation by Durrmeyer Type Exponential Sampling Operators

    Author: B. Shivam, A. Sathish Kumar and I. Mantellini

    Journal: Numerical Functional Analysis and Optimization

    Volume: 43

    Page: 16-34

    DOI: https://doi.org/10.1080/01630563.2021.1980798

    Year: 2022

  5. On Approximation by Kantorovich Exponential Sampling Operators

    Author: B. Shivam and A. Sathish Kumar

    Journal: Numerical Functional Analysis and Optimization

    Volume: 42

    Page: 1096-1113,

    DOI: https://doi.org/10.1080/01630563.2021.1940200

    Year: 2021

  6. Approximation by Exponential Sampling Type Neural Network Operators

    Author: B. Shivam and A. Sathish Kumar

    Journal: Analysis and Mathematical Physics

    Volume: 11

    Page: 13 pages

    DOI: https://doi.org/10.1007/s13324-021-00543-y

    Year: 2021

  7. Inverse approximation and GBS of bivariate Kantorovich type sampling series

    Author: A. Sathish Kumar and B. Shivam

    Journal: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

    Volume: 114

    Page: 15 pages

    DOI: https://doi.org/10.1007/s13398-020-00805-7

    Year: 2020

  8. Approximation by generalized bivariate Kantorovich sampling type series

    Author: A. Sathish Kumar and P. Devaraj

    Journal: The Journal of Analysis

    Volume: 27

    Page: 429-449

    DOI: https://doi.org/10.1007/s41478-018-0085-6

    Year: 2019

  9. On a modification of (p,q)-Szasz-Mirakyan operators

    Author: A. Tuncer, P. N. Agrawal and A. Sathish Kumar

    Journal: Complex Analysis and Operator Theory

    Volume: 12

    Page: 155-167

    DOI: https://doi.org/10.1007/s11785-016-0613-9

    Year: 2018

  10. Generalized Baskakov-Durrmeyer type operators

    Author: P. N. Agrawal, V. Gupta and A. Sathish Kumar

    Journal: Rendiconti del Circolo Matematico di Palermo Series 2

    Volume: 63

    Page: 193-209

    DOI: https://doi.org/10.1007/s12215-014-0152-z

    Year: 2014

  1. Project Type: Convergence Behavior of Sampling Operators on Certain Function Spaces

    Co-Ordinators: A. Sathish Kumar

    Agency: SERB, DST, India

    Duration: 2024-2027

  2. Project Type: Direct and Inverse Voronovskaya Results for the Sampling Operators

    Co-Ordinators: A. Sathish Kumar

    Agency: SERB, DST, India

    Duration: 2022-2025

  3. Project Type: Approximation by generalized Kantorovich type sampling series

    Co-Ordinators: A. Sathish Kumar

    Agency: SERB, DST, India

    Duration: 2018-2021

Responsibilities:

Department Time Table Coordinator, Aug-2024, IIT Madras.

Institute Representative for GATE and JEE Exam, 2024, IIT Madras.

Faculty Advisor for M.Sc Mathematics, 2023, Department of Mathematics, IIT Madras.

Faculty Coordinator In-House Symposium, 2023, Department of Mathematics, IIT Madras.

Faculty Coordinator for Forays-2023, Department of Mathematics, IIT Madras.

Member of Ph.D. interview committee, December 2022, Department of Mathematics, IIT Madras.