Qualifications & Exposure

  • Designation: Assistant Professor

Details

Dr. Manoj Kumar Sah is currently serving as an Assistant Professor of Mathematics at Lloyd Business School, Greater Noida. He is a dedicated academician and researcher with over two years of teaching experience in higher education. His teaching interests encompass a broad range of mathematical disciplines, with a focus on fostering analytical thinking, problem-solving abilities, and conceptual understanding among students.

Dr. Sah has developed a strong research profile, with scholarly interests centered on Approximation Theory, Summability Theory, Functional Analysis, Fourier Analysis, and Sequence Spaces. He has published 8 research papers in the international reputed journals. His research contributions reflect a deep commitment to advancing mathematical knowledge and addressing contemporary challenges in pure and applied mathematics.

As a dedicated academician and passionate researcher, Dr. Sah actively engages in research, publication, and academic collaboration. He believes in integrating research with teaching to create a dynamic learning environment that inspires intellectual curiosity and critical thinking among students. Through his commitment to education and research, he continues to contribute meaningfully to the academic community and the development of future professionals.

As an educator and researcher, Dr. Sah remains committed to contributing to the growth of mathematics education and research while mentoring students to achieve their academic and professional goals.

Dr. Sah has also knowledge of technical skill of MATLAB; Mathematica; LaTeX; Numerical Computation; Analytical Problem Solving.

Research Area and Research Interest: Approximation Theory, Summability Theory, Functional Analysis, Fourier Analysis, Sequence Spaces.

Research Publications:

  • An analysis of the convergence problem of a function of hexagonal Fourier series in generalized Hӧlder norm using Hausdorff operator, Mathematical Methods in the Applied Sciences, 47:4 (2024), 2787-2826. https://doi.org/10.1002/mma.9779
  • Characterizations of double Hausdorff matrices and best approximation of conjugate of a function in generalized Hӧlder space, Filomat, 36:15 (2022), 5003–5027. https://doi.org/10.2298/FIL2215003N
  • Degree of convergence of a function of trigonometric series in Besov spaces, Filomat, 37:18 (2023), 6205–6228. https://doi.org/10.2298/FIL2318205N
  • Degree of convergence of a function in generalized Zugmund space, Mathematical Foundations of Computing, 6:3, (2023), 484-499. 10.3934/mfc.2022029
  • An analysis of the convergence problem of a function of hexagonal Fourier series in generalized Zygmund norm using generalized Nӧrlund-deferred Cesaro operator, International Journal of Applied Mathematics, 38:12, (2025), 1498-1528. https://doi.org/10.12732/ijam.v38i12s.1482
  • Degree of convergence of a function in generalized Zygmund norm using Karamata-matrix (K λA) product operator, European Journal of Pure and Applied Mathematics, 16:2, (2023), 1302-1317. 10.29020/nybg.ejpam.v16i2.4756
  • Numerical Simulation of Cultural Value Conflict in Multicultural Societies, Journal of Posthumanism, 5:3, (2025), 1815–1831. https://doi.org/10.63332/joph.v5i3.2651
  • A Nonlinear Study and its Implications of Symmetries in a Differential equation for Population growth Model (Communicated, 2026).

Paper Presented in Conference

  • A paper titled “Characterizations of Double Hausdorff Matrices and Best Approximation of Conjugate of a Function in Generalized Hӧlder Space” was presented in the conference “International Conference on Evolution in Pure and Applied Mathematics (ICEPAM-2022)”, at Department of Mathematics, Akal University, Talwandi Sabo, Bathinda, Punjab, India held during Nov. 16-18, 2022.
  • A paper titled “Degree of Convergence of a Function in Generalized Zygmund Space” was presented in the conference National Conference of Academy for Progress of Mathematics on “Recent Advances in Mathematical Analysis and Applications (NCAPM-RAMAA-2022)”, at DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University Varanasi, India held during May, 07-08, 2022.