DEPARTMENT.FACULTY
- DEPARTMENT_STAFF.QUALIFICATION
Ph.D (Mathematics) A.M.U, M.Tech. (Computer Science) J.N.U
- DEPARTMENT_STAFF.DESIGNATION
Associate Professor
- DEPARTMENT_STAFF.THRUST_AREA
Approximation Theory: Approximation by Neural Network operators; Fractal Approximation; Computer Aided Geometric Design
- DEPARTMENT_STAFF.ADDRESS
AB-51 MEDICAL COLONY,
- DEPARTMENT_STAFF.MOBILE
,
- DEPARTMENT_STAFF.EMAIL
akhan.mm@amu.ac.in , asifjnu07@gmail.com
- DEPARTMENT_STAFF.TIME_TABLE
Dr. Asif Khan carried out his postgraduate studies and Ph.D. at Aligarh Muslim University, Aligarh. He was awarded Ph.D. (Dec-2013) in Mathematics in the area of Approximation Theory on the topic ''Some Approximation Theorems via Statistical Convergence" under supervision of Prof. M. Mursaleen. Apart from this, he did M.Tech. in Computer Science and Technology (Degree: Jan-2010) from Jawaharlal Nehru University (JNU), New Delhi. He joined the Department of Mathematics, A.M.U Aligarh as an Assistant professor on 03 Feb, 2014 and as an Associate professor on 13th Feb, 2024. His research Interest is in the field of Approximation theory: Linear and Non-Linear operators, Neural Network Approximation, Computer Aided Geometric Design, Fractal Approximation etc.
Teaching Interest: More than 12 years of teaching experience. Have instructed number of courses at graduate and post graduate level which include Coordinate Geometry, Calculus, Advance Calculus, Linear algebra, Set theory, Programming in C and MATLAB, Real analysis, Metric Spaces, General Topology etc.
Research Publications: He has published more than 65 research papers (44 SCI-Expanded and others Scopus Listed) in international refereed journals, prominent among them are Applied Mathematics and Computation (Elsevier),
Mathematical and Computer Modelling (Elsevier),
Journal of Inequalities and Applications (Springer), Bulletin of Malaysian Math. Sci. Soc.(Springer), Mathematical Methods in the Applied Sciences (Wiley), Numerical Functional Analysis and Optimization (Taylor and Francis), Filomat, Scientific Bulletin, Complex Analysis and Operator Theory, Journal of Nonlinear Functional Analysis, Mathematics and Computers in Simulation etc.Awarded UGC Startup Grant. Qualified- CSIR-JRF, CSIR-UGC-JRF, NET, GATE.
- Publication
2025
Aaqib Ayoub Bhat and Asif Khan, Boundary Interpolation on Triangles via Neural Network Operators, Mathematics and Computers in Simulation, Volume 241, Part A, March 2026, Pages 190-201, Q1, SCI-Expanded (Impact factor 4.4).
Aaqib Ayoub Bhat, Asif Khan and M Mursaleen, Neural Network Operator-Based Fractal Approximation: Smoothness Preservation and Convergence Analysis, arXiv:2505.06229v1 [cs.LG] Communicated in SCI-Expanded Journal.
Mohd Shanawaz Mansoori, Asif Khan and Khursheed J. Ansari, Approximation and shape preserving properties by nonlinear Lupas type Bernstein operators of max-product kind, Arab. J. Math. Feb, 2025, SCI-Expanded (Impact factor 0.9).
Aaqib Ayoub Bhat, Asif Khan, Mohammad Iliyas, Khalid Khan and M. Mursaleen, A blending approach to Transfinite Interpolation on Compact Disk using Neural Network Operators, Accepted for publication in Iranian Journal of Science, SCI-Expanded Q3 (Impact factor 1.4).
Ibrahim Islam, Naved Alam, Aaqib Ayoub Bhat and Asif Khan, Fractal Approximation via Phillps-type $(p,q)$-Bernstein Operators, Communicated in SCI-Expanded Journal.
2024
Asif Khan, Naved Alam, Mohammad Iliyas and M. Mursaleen, Approximation of
fuzzy numbers using Bernstein-Kantorovich operators of max-product kind, Filomat,
vol. 38 (24), 2024, pp. 8635-8644, DOI: https://doi.org/10.2298/FIL2424635K SCI-Expanded-Q2 (Impact factor 0.988).
2023
1)
Qing-Bo Cai, Asif Khan, Mohd Shanawaz Mansoori,
Mohammad Iliyas, Khalid Khan, Approximation by Lambda-Bernstein type operators on triangular domain,
Filomat,
2023, 37(6), SCI-Expanded-Q2 (Impact factor
0.988).2)
Iliyas, M., Asif Khan, Mursaleen, M.
Bernstein type operators on elliptic domain and
their interpolation properties Demonstratio Mathematica SCI Expanded-Q2
(Impact factor 2.093)- https://doi.org/10.1515/dema-2022-01992022
3)
Mohammad Iliyas, Rameez A. Bhatt, Asif Khan, and M. Mursaleena, Lupa?-Bernstein- Kantorovich Operators Using Jackson
and Riemann Type (p, q)-Integrals, Filomat 36:15 (2022), 5221–5240 SCI-Expanded-Q2 (Impact factor 0.988).4)
Asif Khan., Iliyas, M., Khan, K., Mursaleen, M.
Approximation of conic sections by
weighted Lupa? post-quantum Bézier
curves, Demonstratio Mathematica, 2022, 55(1), pp. 328–342 SCI Expanded-Q2 (Impact factor 2.093)5)
Khan, A., Mansoori,
M.S., Iliyas, M., Mursaleen, M.
Lupa? Post Quantum Blending Functions and Bézier Curves Over Arbitrary
Intervals, Filomat,
2022, 36(1), pp. 331–347, SCI-Expanded- Q2 (Impact factor
0.988).6)
Iliyas, M., Khan, A.,
Arif, M.,
Mursaleen, M.,
Lone, M.R., Iterates of q-Bernstein
operators on triangular domain with
all curved sides, Demonstratio
Mathematica, 2022, 55(1), pp. 891–899, SCI Expanded-Q2
(Impact factor
2.093).7)
Mursaleen, M.,
Ahasan, M., Khan, A. Modified
approximation and error estimation for King’s
type (p, q)-BBH operators, Applied Mathematics, 2022, 37(2), pp. 199–212, SCI Expanded-Q4 (Impact
factor 0.61). 8) Khan, A., Iliyas, M., Arif, M., Mursaleen, M., Lone, M.R., Approximation by Phillips type q- Bernstein operators on square and error bounds, Journal of Analysis, 2022 (Scopus)
9) Khan, A., Iliyas, M., Mursaleen, M. Approximation of Lebesgue integrable functions by Bernstein-Lototsky-Kantorovich operators, Rendiconti del Circolo Matematico di Palermo, 2022 (Scopus)
10) Obad, A.M., Khan, A., Mursaleen, M., Yasmin, G. A Determinantal Approach to Post Quantum Analogue of Appell Type Polynomials, International Journal of Applied an
- IITJAM Maths (16) Video Lectures for students of B.Sc.
- CSIR NET-JRF Mathematical Sciences Video lectures
- Basics of Approximation Theory (Best Approximation-Existence and uniqueness)-Invited talk
- General Topology-M.Sc. (60-video lectures) Visit Playlist
- Programming in MATLAB (25)
- Real Analysis lectures (41)-Visit playlist
- Metric spaces video Lectures (43)