6533b86dfe1ef96bd12c964c

RESEARCH PRODUCT

Estimates for the differences of positive linear operators and their derivatives

Ana Maria AcuIoan Raşa

subject

41A25 41A36Applied MathematicsNumerical analysisLinear operatorsNumerical Analysis (math.NA)010103 numerical & computational mathematics01 natural sciencesModulus of continuity010101 applied mathematicsSection (fiber bundle)Mathematics - Classical Analysis and ODEsBounded functionTheory of computationClassical Analysis and ODEs (math.CA)FOS: MathematicsOrder (group theory)Applied mathematicsMathematics - Numerical Analysis0101 mathematicsAlgebra over a fieldMathematics

description

The present paper deals with the estimate of the differences of certain positive linear operators and their derivatives. Oxur approach involves operators defined on bounded intervals, as Bernstein operators, Kantorovich operators, genuine Bernstein-Durrmeyer operators, and Durrmeyer operators with Jacobi weights. The estimates in quantitative form are given in terms of the first modulus of continuity. In order to analyze the theoretical results in the last section, we consider some numerical examples.

yearjournalcountryeditionlanguage
2019-10-28
http://arxiv.org/abs/1810.08839