Published September 2018 | Version v1
Journal article

Asymptotic Expansions for Bernstein–Durrmeyer–Chlodovsky Polynomials

  • 1. Fachbereich MND, Technische Hochschule Mittelhessen (Germany)
  • 2. Abant Izzet Baysal University, Department of Mathematics, Faculty of Science and Arts (Turkey)

Description

We define a Durrmeyer variant of the Bernstein–Chlodovsky polynomials and study its rate of convergence. The main result is a complete asymptotic expansion. As a special case we obtain a Voronovskaja-type formula.

Additional details

Identifiers

Publishing Information

Journal Title
Results in Mathematics
Journal Volume
73
Journal Issue
3
Journal Page Range
p. 1-12
ISSN
1422-6383

INIS

Country of Publication
Switzerland
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
50018182
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
APPROXIMATIONS; ASYMPTOTIC SOLUTIONS; CONVERGENCE; POLYNOMIALS
Descriptors DEC
CALCULATION METHODS; FUNCTIONS; MATHEMATICAL SOLUTIONS

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Copyright
Copyright (c) 2018 Springer Nature Switzerland AG