Approximation by (p, q)-Baskakov–Durrmeyer–Stancu Operators

Approximation by (p, q)-Baskakov–Durrmeyer–Stancu Operators

The present paper deals with the Stancu-type generalization of ( p ,  q )-Baskakov–Durrmeyer operators. We investigate local approximation, weighted approximation properties of new operators and present the rate of convergence by means of suitable modulus of continuity. At the end of the paper, we i...

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Veröffentlicht in:Complex analysis and operator theory 2018-08, Vol.12 (6), p.1453-1468
Hauptverfasser: Acar, Tuncer, Mohiuddine, S. A., Mursaleen, Mohammad
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Approximation
Mathematical analysis
Mathematics
Mathematics and Statistics
Operator Theory
Operators
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Zusammenfassung:The present paper deals with the Stancu-type generalization of ( p ,  q )-Baskakov–Durrmeyer operators. We investigate local approximation, weighted approximation properties of new operators and present the rate of convergence by means of suitable modulus of continuity. At the end of the paper, we introduce a new modification of ( p ,  q )-Baskakov–Durrmeyer–Stancu operators with King approach.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-016-0633-5