A problem of P. Turán (on the mean convergence of lacunary interpolation

Vértesi, P.

doi:10.1007/bf01895958

Search citation statements

Order By: Relevance

Paper Sections

Select...

)-(28)1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1982

1995

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is well known [Erdos and Tun\n] that the Lagrange interpolation process is more effective with respect to convergence in mean than with respect to uniform convergnce. On the suggestion of P. Turfm, P. Vertesi [7] It turns out that this class is essentially the same as given by Theorem B of J. Balazs and P. Tunin [2]. For the proof of such q.f.…”

Section: )-(28)mentioning

confidence: 84%

On some open problems of P. Turán concerning Birkhoff interpolation

Varma¹

1982

Trans. Amer. Math. Soc.

View full text Add to dashboard Cite

ABSTRACT. In 1974 P. Tunln (see (6]) raised many interesting open problems in Approximation Theory some of which are on Birkhoff Interpolation. The object of this paper is to answer some of these problems (XXXVI-XXXIX). We obtain some new quadrature formulas where function values and second derivatives are only prescribed on the zeros of [5] mentioned that the paper is so general that one cannot expect better formulae than those of Hermite. On this account in a series of papers [t, 2, 5] Turtm and his associates have initiated the problem of (0,2) interpolation when the values and second derivatives of the interpolatory polynomials are prescribed at the zeros of (1

show abstract

Section: )-(28)mentioning

confidence: 84%