Department of Mathematics | Indian Institute Of Technology Madras , Chennai

Announcements

team

Dr.Sathish Kumar A

Associate Professor

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

sathishkumar

Personal Link

KCB 630

Approximation Theory, Sampling Operators

to email  add  username@iitm.ac.in'

Previous Courses

  • 2026 Jan-May: Elective 2 (Elective)

    Preparatory course 2026

  • 2025 Jul-Nov: Functions of Several Variables (MA1101)

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

  • 2024 July-Nov, 2026 July-Nov: Real Analysis (MA5330)

  • 2023 Jul-Nov: TRANSFORM TECHNIQUES (MA5460)

  • 2023 Jan-May, 2024 Jan-May: Series and Matrices (MA1102 )

  • 2022 Jul-Nov, 2023 Jul-Nov: Functions of Several Variables (MA1101)

  1. On approximation by linear integral operators in the settings of Morrey spaces

    Author: Bartwal, N. and Sathish Kumar, A.

    Journal: Period Math Hung

    DOI: 10.1007/s10998-026-00719-8

    Year: 2026

  2. A Characterization of the Convergence in Variation for the Exponential Sampling Operators

    Author: A. Sathish Kumar and Shanmugam, Yugesh

    Journal: Results in Mathematics

    Volume: 80

    DOI: https://doi.org/10.1007/s00025-024-02347-5

    Year: 2025

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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:

Pampa Hostel Warden, April 2026-Till Date

Ph.D. Admission Coordinator, Jan 2024-July 2026, Department of Mathematics, IIT Madras.

Department Time Table Coordinator, Aug-2024-July 2025, IIT Madras.

Department Convocation Committee, 2025, 2026, IIT Madras.

Institute Representative for GATE and JEE Exam, 2024, 2025 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.