Premium
Approximation properties of λ ‐Bernstein‐Kantorovich operators with shifted knots
Author(s) -
Rahman Shagufta,
Mursaleen Mohammad,
Acu Ana Maria
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5632
Subject(s) - mathematics , knot (papermaking) , operator (biology) , rate of convergence , bernstein polynomial , generalization , operator theory , convergence (economics) , approximation error , algebra over a field , mathematical analysis , pure mathematics , computer science , computer network , biochemistry , chemistry , channel (broadcasting) , repressor , chemical engineering , transcription factor , engineering , economics , gene , economic growth
In the present article, Kantorovich variant of λ ‐Bernstein operators with shifted knots are introduced. The advantage of using shifted knot is that one can do approximation on [0,1] as well as on its subinterval. In addition, it adds flexibility to operators for approximation. Some basic results for approximation as well as rate of convergence of the introduced operators are established. The r t h order generalization of the operator is also discussed. Further for comparisons, some graphics and error estimation tables are presented using MATLAB.