Dr. Faisal Khan is working an Assistant Professor in the Department of Mathematics, Jaypee University Anoopshahr from february 2024. He obtained his M.Sc.(2009), M. Phil.(2012) and Ph.D.(2015) from Department of Mathematics, A.M.U. Aligarh. He has worked as an Assistant Professor in the Department of Mathematics A.M.U. Aligarh from September 2015 to January 2024. He has also worked as Project JRF and SRF in A.M.U.  Aligarh sponsored D.S.T. Delhi. His research interest is in the field of Approximation Theory by positive linear operators, Computer Aided Geometric Design, Neural Network Approximation. He has been published more than fifteen research papers in various reputed international journals with good impact factors.

Expertise: Functional Analysis, Approximation Theory, Operators Theory Statistical Convergence, Sequence Spaces and Special Functions.

Research Articles:

1. M. Saif, Faisal Khan and S.A. Khan, Error Estimation by Schurer Type (p,q)-Lorentz Operator on A Compact Disk, Filomat, Vol.37(1), pp. 303-316 (2023). (SCI, Impact Factor: 0.8)

2. M. Ahasan, Faisal Khan and M. Mursaleen, Generalized Bernstein Type Operators on Unbounded Interval and Some Approximation Properties, Filomat, Vol.33(9), pp. 2797-2808 (2019). (SCI, Impact Factor: 0.8)

3. Faisal Khan, M. Saif, A. Mukheimer and M. Mursaleen, The convergence of (p,q)-Bernstein operators for the Cauchy kernel with a pole via divided difference, Journal of Inequalities and Applications, 2019:132 (2019). (SCI, Impact Factor: 1.6)

4. M. Mursaleen, Faisal Khan and A. Khan, Approximation by (p,q)-Lorentz Polynomials on a Compact Disk , Complex Analysis and Operator Theory, Vol.10 , pp. 1725-1740 (2016). (SCI, Impact Factor: 0.8)

5. M. Mursaleen, Faisal Khan and A. Khan, Approximation Properties For King Type Modification of q-Bernstein-Kantorovich Operators, Mathematical Methods in the Applied Sciences, Vol.38, pp. 5242–5252 (2015). (SCI, Impact Factor: 2.9)

6. M. Mursaleen, Faisal Khan and A. Khan, Approximation Properties For Modified q Bernstein-Kantorovich Operators, Numerical Functional Analysis and Optimization, Vol.36, pp. 1178–1197 (2015). (SCI, Impact Factor: 1.2)

7. M. Mursaleen, Faisal Khan, A. Khan, Statistical approximation for new positive of linear operators of Lagrange type, Applied Mathematics and Computation, Vol.232, pp. 548-558 (2014). (SCI, Impact Factor: 4)

8. M. Mursaleen, Faisal Khan, A. Khan and Adem Kilicman, Some approximation results for generalized Kantorovich-type operators, Journal of Inequalities and Applications, 2013:585 (2013). (SCI, Impact Factor: 1.6)

9. M. Mursaleen, Faisal Khan, A. Khan and Adem Kilicman, Some Approximation Properties of Bivariate q-Stancu Beta Operators, Journal of Function Spaces, Volume 2014, Article ID 270673, 7 pages. (SCI, Impact Factor 0.587)

10. M. Mursaleen, Md. Nasiruzzaman, Faisal Khan, A. Khan, On (p,q)-Analogue of Divided Differences and Bernstein Operators , Journal of Nonlinear Functional Analysis, 2017(2017), Article ID 25.

11. M. Mursaleen, Faisal Khan and R.P. Agarwal, Approximation by Kantorovich type (p,q)-Bernstein-Schurer operators. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, Vol. 23(6), pp. 465–479 (2016).

12. M. Mursaleen, Faisal Khan, M. Saif, A.H. Khan, On estimation of uniform convergence of analytic function by (p,q)-Bernstein operators, Korean Journal of Mathematics, Vol.27(2), pp. 505-514 (2019).

13. M. Saif, Faisal Khan, K.S. Nisar and S. Araci, Modified Laplace Transform and its properties, Journal of Mathematics and Computer Science, Vol.21, pp.127-135 (2019).

14. M. Mursaleen, A.A.H. Ali Al-Abied, Faisal Khan and M.A. Salman, On (p,q)-Stancu Szasz-Beta operators and their approximation properties, Facta Universitatis (NIS), Vol. 35(4), pp. 1127-1143 (2020).

15. Faisal Khan, M. Saif, M. Mursaleen, A.H. Khan, On the convergence of (p,q)-Bernstein operators of the rational functions with poles in [0,1], TWMS Journal of Applied and Engineering Mathematics, Vol.10, pp. 15-27 (2020).