Research

Research Interests
My major area of research focuses on Approximation Theory and its applications to related problems. So far, I worked in Korovkin's approximation theory which is solely based on positive linear operators.  Our operators' construction involves the elements of quantum calculus and multivariate orthogonal polynomials.  Currently, I am interested in multivariate approximation, fractal approximation, sampling reconstruction, and neural network-based approximation techniques.

Publications

1. P-summability method for an approximation process based on multivariate (p,q)-Lagrange polynomials (with P. N. Agrawal and B. Baxhaku), Early Access, Analysis and Mathematical Physics (2022).

2. Characterization of deferred type statistical convergence and P-summability method for operators: Applications to q-Lagrange-Hermite operator (with P. N. Agrawal and B. Baxhaku), Mathematical Methods in the Applied Sciences  46(4) (2022), 4449-4465.

3. Some fuzzy Korovkin type approximation theorems via power series summability method (with P. N. Agrawal and B. Baxhaku), Early Access, Soft Computing (2022).

4.  On some summability methods for a q-analogue of an integral-type operator based on multivariate q-Lagrange polynomials (with P. N. Agrawal and B. Baxhaku), Numerical Functional Analysis and Optimization 43(7) (2022), 796-815.

5.  A new kind of bivariate lambda-Bernstein-Kantorovich type operator with shifted knots and its associated GBS form (with P. N. Agrawal and B. Baxhaku), Mathematical Foundations of Computing 5(3) (2022), 157-172.

6. On q-analogue of a parametric generalization of Baskakov operators (with P. N. Agrawal and B. Baxhaku), Mathematical Methods in the Applied Sciences 44(7) (2021), 5989-6004.

7. A tensor product of Kantorovich-Stancu type operators with shifted knots and their kth order generalization (with P. N. Agrawal and B. Baxhaku), FILOMAT 35(12) (2021), 4239-4255.

8. Bivariate positive linear operators constructed by means of q-Lagrange polynomials (with P. N. Agrawal and B. Baxhaku), Journal of Mathematical Analysis and Applications 491(2) (2020), 1-24. 

Work in progress

1. Numerical Solution of mixed Volterra-Fredholm integral equations based on Szasz-Mirakyan approximation method (with B. Baxhaku and A. Berisha).

2. A non-linear multivariate fractional Kantorovich sampling operator: Approximation and Application (with B. Baxhaku)