Sharp Estimates of Approximation by Abstract Kantorovich Type Operators in Terms of the Second Modulus of Continuity

Sharp Estimates of Approximation by Abstract Kantorovich Type Operators in Terms of the Second Modulus of Continuity

We use the second modulus of continuity to estimate approximations of a bounded measurable function on the segment [0, 1] by Kantorovich type operators B n f x = ∑ j = 0 n C n j x j 1 − x n − j F j f , where F j are functionals with sufficiently small supports and certain symmetry. The result obtain...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-03, Vol.261 (6), p.773-791
1. Verfasser: Ikhsanov, L. N.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Operators (mathematics)
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Zusammenfassung:We use the second modulus of continuity to estimate approximations of a bounded measurable function on the segment [0, 1] by Kantorovich type operators B n f x = ∑ j = 0 n C n j x j 1 − x n − j F j f , where F j are functionals with sufficiently small supports and certain symmetry. The result obtained is sharp.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05788-x