Complete asymptotic expansions related to conjecture on a Voronovskaja-type theorem

Authors :: Ioan Gavrea
Mircea Ivan
Source :: Journal of Mathematical Analysis and Applications. 458:452-463
Publication Year :: 2018
Publisher :: Elsevier BV, 2018.
Abstract: We provide complete asymptotic expansions for some sequences of Bernstein-type and Meyer–Konig and Zeller-type operators preserving the monomials e 0 and e j , j > 1 . In particular, this answers a conjecture related to a Voronovskaja-type theorem.

Subjects :: Discrete mathematics
Monomial
Asymptotic analysis
Conjecture
Applied Mathematics
010102 general mathematics
010103 numerical & computational mathematics
Spectral theorem
Operator theory
Type (model theory)
01 natural sciences
0101 mathematics
Analysis
Mathematics

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