On The Approximation of Functions from The Hölder Class Given On a Segment by Their Biharmonic Poisson Operators

On The Approximation of Functions from The Hölder Class Given On a Segment by Their Biharmonic Poisson Operators

We obtain the exact equality for the upper bounds of deviations of biharmonic Poisson operators on the Hölder classes of functions continuous on the segment [ − 1; 1] .

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Veröffentlicht in:Ukrainian mathematical journal 2019-12, Vol.71 (7), p.1043-1051
Hauptverfasser: Zhyhallo, K. M., Zhyhallo, T. V.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Continuity (mathematics)
Geometry
Mathematics
Mathematics and Statistics
Operators (mathematics)
Statistics
Upper bounds
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Beschreibung
Zusammenfassung:We obtain the exact equality for the upper bounds of deviations of biharmonic Poisson operators on the Hölder classes of functions continuous on the segment [ − 1; 1] .
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-019-01696-7