Published January 1, 2025
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Lupas type Bernstein operators on square with two curved sides
- 1. Baba Ghulam Shah Badshah Univ, Dept Math Sci, Rajouri 185234, India
- 2. Aligarh Muslim Univ, Dept Math, Aligarh 202002, India
Description
The motive of this paper is to construct Lupa,s type Bernstein operators ((Br,qF)-F-x1)(x(1),x(2)), (B-x2 F-s,F-q)(x(1),x(2)), their products (Prs,qF)(x(1),x(2)) and (Q(sr,q)F)(x(1),x(2)) and their Boolean sums (Srs,qF)(x(1),x(2)) and (Tsr,qF)(x(1),x(2)) on square D-h with two curved side. Which interpolate a given function on the some edges and at the vertices of square. The remainders from the approximation formulas are computed using Peano's theorem.
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