Approximation Properties of King Type (p,q)-Bernstein Operators

Approximation Properties of King Type (p,q)-Bernstein Operators

The present paper deals mainly with a King type modification of ( p , q ) -Bernstein operators. By improving the conditions given in Mursaleen et al. (On (p, q)-analogue of Bernstein operators. Appl Math Comput 266:874–882, 2015a ), we investigate the Korovkin type approximation of both ( p , q ) -B...

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Veröffentlicht in:Iranian journal of science and technology. Transaction A, Science Science, 2019-02, Vol.43 (1), p.249-254
Hauptverfasser: Dalmanoğlu, Özge, Örkcü, Mediha
Format: Artikel
Sprache:eng
Schlagworte:
Chemistry/Food Science
Earth Sciences
Engineering
Life Sciences
Materials Science
Physics
Research Paper
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Zusammenfassung:The present paper deals mainly with a King type modification of ( p , q ) -Bernstein operators. By improving the conditions given in Mursaleen et al. (On (p, q)-analogue of Bernstein operators. Appl Math Comput 266:874–882, 2015a ), we investigate the Korovkin type approximation of both ( p , q ) -Bernstein and King type ( p , q ) -Bernstein operators. We also prove that the error estimation of King type of the operator is better than that of the classical one whenever 0 ≤ x ≤ 1 3 .
ISSN:1028-6276
2364-1819
DOI:10.1007/s40995-017-0434-3