Area of Research: APPROXIMATION THEORY
Area of Research: APPROXIMATION THEORY
Research Interests
Research Interests
Approximation of Real Functions
Sampling and Reconstruction
Function Spaces
Neural Network Approximation
Approximation of Real Functions
Sampling and Reconstruction
Function Spaces
Neural Network Approximation
Convergence Behavior of Sampling Operators on Certain Function Spaces, SERB, DST, India 2024-2027
Sanctioned Amount: Rs. 21 Lakhs
Status: Ongoing
Direct and Inverse Voronovskaya Results for the Sampling Operators, SERB, DST, India, 2022-2025
Sanctioned Amount: Rs. 6.6 Lakhs
Status: Completed
Approximation by generalized Kantorovich type sampling series”, SERB, DST, India, 2018-2021.
Sanctioned Amount: Rs. 17.06 Lakhs
Status: Completed
Mr. M. Surya, Janurary 2025
Mr. Nitin Bartwal, Janurary 2023
Ms. Puja Ravindra Sonawane, Janurary 2023
Dr. Prashant Kumar, July 2018-April 2023.
Thesis Title: Approximation of Continuous and Discontinuous Functions by Certain Sampling Type Series
Dr. Shivam Bajpeyi, July 2017-May 2021.
Thesis Title: Approximation of Functions by Certain Sampling Type Series.
Current Position: Assistant Professor at NIT-Surat.
Mr. Arpan Kumar Dey, February 2024-Till date.
Project Title: Convergence Behavior of Sampling Operators on Certain Function Spaces
Mr. Arpan Kumar Dey (2023), Approximation Behaviour of Shannon Sampling Series For Hardy Spaces
Ms. Shreya Srivastava (2022), Approximation by Exponential Sampling Series
Ms. Rekha Chauhan (2022), Approximation of Continuous and Discontinuous Functions by Sampling Kantorovich Series
Mr. V. D. Arun (2021), Rate of Approximation of q-Bernstein Operators
Mr. Trilok Jangid (2021), Saturation by the Fourier Transform Method for the Sampling Kantorovich Series Based on Bandlimited Kernels
Mr. Bhasker Upadhyay (2020), Approximation by Sampling Type Series
Ms. Shreya Vishwekarma (2020), Approximation by Polynomials
Mr. Parveen Kumar (2020), Approximation of Bandlimited Functions by Trigonometric Polynomials
Mr. Ajay P Gowthamus (2019), Approximation Properties of Sampling Type Series
Ms. Pragya Devi (2018), Approximation by Bernstein Polynomials and its q-Analogue
Mr. Y. N.V. Kiran (2018), Approximation by Certain Positive Linear Operators
Mr. Ashutosh Dash (2023), An Operator Version of the Korovkin Theorem
Mr. Jajati Keshari Samal, NIT Silcher (2024), Approximation by Fourier Series in L_p Spaces.
Prof. I. Mantellini, Department of Mathematics and Computer Science, University of Perugia, Italy.
Prof. P. N. Agrawal, Department of Mathematics, IIT Roorkee, India.
Prof. P. Devaraj, Department of Mathematics, IISER TVM, India.
Prof. Zoltan Finta, Department of Mathematics, Babes-Bolyai University, Romania.
Prof. Vijay Gupta, NSUT, New Delhi
Prof. Tuncer Acar, Associate Professor, Department of Mathematics, Selcuk University,Turkey.
Dr. S. Yugesh, SSN College of Engineering Chennai, Tamil Nadu, India.
Delivered an invited lecture on "Approximation and Frames" at VIT University, Vellore, April 1, 2025.
Delivered an Oral Presentation on ''Rate of Approximation by Generalised Sampling Operators'' at American University of Sharjah, February 20-22, 2025.
Delivered an invited talk at Periyar University Salem, in celebration of National Mathematics Day on Dec 22, 2024.
Delivered an invited talk at IIIT-Naya Raipur at the Third International Workshop on Advanced Topics in Mathematics (IWATM-2024), Online Mode during Dec 16-20, 2024.
Delivered a seminar talk at IISER-TVM on Approximation by Sampling Operators, July 15, 2024.
Delivered an invited talk on''Approximation of pi'' at Vel Tech Multi Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Avadi, Chennai, March 14, 2024.
Delivered an invited talk at the Workshop on Linear Algebra and its Applications 2023, The NorthCap University, August 21-25, 2023.
Delivered an invited talk at FDP on Functional Analysis, VIT Univeristy, Chennai Campus, April 17-21, 2023.
Colloquium talk on Approximation by Kantorovich Exponential Sampling Series at IIT Madras, Feb 23, 2023.
Delivered an invited talk at the International conference on Mathematical Analysis and Computing 2022 (ICMAC-2022) at SSN College of Engineering, Chennai, December 22-23, 2022.
Delivered an invited talk on ''Approximation of Functions by Sampling Operators'', VIT Univeristy, Vellore, November 2022
Delivered an invited lecture on''Cauchy's Integral Formula'' at VIT University, Vellore, August 2022.
Invited talk at the Second International Workshop on Sampling and Approximation Theory (IWSAT-2022) at SSN College of Engineering, Chennai, March 8-9, 2022.
Invited talk at the International conference on Mathematical Analysis and Computing 2019 (ICMAC-2019) at SSN College of Engineering, Chennai, December 23-24, 2019.
Invited talk at the 8-th National conference on Emerging Trends in Mathematical Sciences (NCETMS 2019) MIT Academy of Engineering, Pune, on 7 th july 2019.
Invited talk at the National conference on Mathematical Analysis and Computing at SSN College of Engineering, Chennai, Dec 13-14, 2018.
Delivered an invited talk on ”Approximation by generalized Kantorovich sampling type operators” at the International Conference on Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis, Department of Mathematics, Southeren Federal University, Rostov-on-don, Russia, April 23-28, 2017.
Delivered an invited lecture on ”Approximation by Kantorovich operators” in the national workshop on Computational Mathematics at Department of Mathematics, Anna University, Chennai, March 2-15, 2017.
Participated in the International Conference on Recent Trends in Mathematical Analysis and its Applications 2014, IIT Roorkee, India.
Organized a workshop on ”Introduction to Latex” at Department of Mathematics, IIT Roorkee, 2014.
Presented a paper in the International Conference at Calcutta Mathematical Society, Kolkata, 2013.
Participated in "Library Orientation Program and Workshop on Scopus and Science Direct" on January 27, 2012 organized by the Mahatma Gandhi Central Library, IIT Roorkee.
Participated in the National Conference of Differential Equations and Its Applications 2011, Periyar University, Salem, India.