1Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore-632014, Tamil Nadu, India
2Department of Applied Mathematics & Humanities, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat-395 007 (Gujarat), India
3Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak-484 887, Madhya Pradesh, India
(*Corresponding author) Email: *lakshminarayanmishra04@gmail.com
In the present paper, we introduce a generalised class of (p, q) Bernstein operators. The study proves that this generalised operator gives better approximation results comparison to the (p, q) Bernstein operators defined in [11]. We estimate the rate of approximation using modulus of continuity and prove Voronovskaya type theorem as well. In the end we have proved the statistical and weighted approximation results for this operator.
(p, q)-integers, (p, q)-Bernstein operators, modulus of continuity, linear positive operators, Primary 41A25, 41A36
