References
S. A. Eneduanya, On the convergence of interpolation polynomials,Analysis Math.,11 (1985), 13–22.
S. A. Eneduanya, On the modified Hermite interpolation polynomials,Demonstratio Math.,15 (1982), 1135–1146.
I. E. Gopengaus, On a theorem of A. F. Timan on the approximation of functions by polynomials on a finite interval (Russian),Mat. Zametki,1 (1967), 163–172.
G. G. Lorentz, K. Jetter and S. Riemenschneider,Birkhoff interpolation, Encyclopaedia of Math., Addison Wesley (1983).
I. P. Natanson,Constructive Function Theory, Frederick Ungar Publ. (New York, 1965).
L. G. Pál, A new modification of the Hermite-Fejér interpolation,Analysis Math.,1 (1975), 197–205.
G. Szegó,Orthogonal polynomials, Amer. Math. Soc. Coll. Publ. (New York, 1939).
L. Szili, A convergence theorem for the Pál method of interpolation on the roots of Hermite polynomials,Analysis Math.,11 (1985), 75–84.
Author information
Authors and Affiliations
Additional information
The author would like to express his appreciation to Professor A. Sharma for many helpful suggestions.
Rights and permissions
About this article
Cite this article
Akhlaghi, M.R. A Pál-type lacunary interpolation problem. Acta Math Hung 58, 247–259 (1991). https://doi.org/10.1007/BF01903955
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01903955