Shape preserving approximation properties to family of α-Bernstein shifted knot operators
M. Mursaleen, Esmail Alshaban, Md. Nasiruzzaman
Abstract
Abstract The main idea of this paper is to obtain approximation results by utilizing the shifted knots properties of the family of α -Bernstein operators. We examine some basic results and estimate the moments of this new family of α -Bernstein operators. We derive an upper bound on the error estimation using the usual modulus of continuity in continuous function spaces. Furthermore, we have also obtained the shape-preserving properties and discussed some direct theorems.
Topics & Concepts
MathematicsKnot (papermaking)Modulus of continuityUpper and lower boundsFunction (biology)Pure mathematicsApproximation errorApplied mathematicsMathematical analysisCombinatoricsDiscrete mathematicsModuliModulusType (biology)Approximation theoryConstraint (computer-aided design)Advanced Numerical Analysis TechniquesRough Sets and Fuzzy LogicDigital Image Processing Techniques