6533b7ddfe1ef96bd1273c5f

RESEARCH PRODUCT

Approximation by Certain Operators Linking the $$\alpha $$-Bernstein and the Genuine $$\alpha $$-Bernstein–Durrmeyer Operators

Voichiţa Adriana RaduAna Maria Acu

subject

Pure mathematicsAlpha (programming language)Rate of convergenceModulus of smoothnessType (model theory)Link (knot theory)Modulus of continuityMathematics

description

This paper presents a new family of operators which constitute the link between \(\alpha \)-Bernstein operators and genuine \(\alpha \)-Bernstein–Durrmeyer operators. Some approximation results, which include local approximation and error estimation in terms of the modulus of continuity are given. Finally, a quantitative Voronovskaya type theorem is established and some Gruss type inequalities are obtained.

yearjournalcountryeditionlanguage
2020-01-01
https://doi.org/10.1007/978-981-15-1153-0_7