Quadrature rules obtained by means of interpolatory linear positive operators

Abstract

Authors

Dimitrie D. Stancu
Babes-Bolyai” University, Cluj-Napoca, Romania

Felicia Stancu
“Babeş-Bolyai” University, Cluj-Napoca, Romania

Keywords

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Paper coordinates

D.D. Stancu, F. Stancu, Quadrature rules obtained by means of interpolatory linear positive operators, Rev. Anal. Numér. Théor. Approx., 21 (1992) no. 1, 75–81.

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About this paper

Journal

Journal of Numerical Analysis and Approximation Theory

Publisher Name

Publishing House of the Romanian Academy

Print ISSN

2501-059X

Online ISSN

2457-6794

google scholar link

[1] F. Locher, On Hermite-Fejér interpolation al Jacobi zeros, J. Approx. Theory 44 (1985), pp. 154-166, https://doi.org/10.1016/0021-9045(85)90077-2
[2] T. Popoviciu, Sur le reste dans certaines formules lineaires d’approximation de l’analyse, Mathematica, 1 (24), (1959), pp. 95-142.
[3] D. D. Stancu, On the Gaussian quadrature formulas, Studia Univ. Bebeş-Bolyai, Cluj, 1 (1958), pp. 71-84.
[4] D. D. Stancu, On a generalization of the Bernstein polynomials, Studia Univ. Babeş-Bolyai, Cluj, 14 (1969), pp. 31-45.
[5] D. D. Stancu, Quadrature formulas constructed by using certain linear positive operators. ln: Numerical Integration, (Proc. Conf. Math. Res. Inst. Oberwolfach, 1981; ed. G. Hämmerlin; ISNM 57), Basel-Boston-Stuttgart: Brikhäuser, 1982, pp. 241-251,https://doi.org/10.1007/978-3-0348-6308-7_23
[6] D. D. Stancu, Approximation of fucntions by means of a new generalized Bernstein operator, Calcolo 15 (1983), pp. 211-229, https://doi.org/10.1007/bf02575593
[7] J. Szabados, P. Vértesi, Interpolation of Functions, World Scientific, Publ. Comp. Singapore, New Jersey, London, Hong Kong, 1990.
[8] G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Coll. Publ., vol. 23, Providence, R.I. 1939.

1992

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