6533b870fe1ef96bd12d056e

RESEARCH PRODUCT

Perturbed Bernstein-type operators

Ana Maria AcuHeiner Gonska

subject

Pure mathematicsAlgebra and Number Theory41A25 41A36010102 general mathematicsNumerical Analysis (math.NA)Type (model theory)01 natural sciencesModulus of continuityMathematik0103 physical sciencesFOS: Mathematics010307 mathematical physicsMathematics - Numerical Analysis0101 mathematicsMathematical PhysicsAnalysisMathematics

description

The present paper deals with modifications of Bernstein, Kantorovich, Durrmeyer and genuine Bernstein-Durrmeyer operators. Some previous results are improved in this study. Direct estimates for these operators by means of the first and second modulus of continuity are given. Also the asymptotic formulas for the new operators are proved.

yearjournalcountryeditionlanguage
2018-09-20
http://arxiv.org/abs/1809.07511