Geodesic
An approach to interpolation by integration
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2009), pp. 21-25.

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In this paper we consider the correctness of Lagrange bivariate interpolation problem, where interpolation parameters are integrals over certain bounded plane regions. Here we study the case of bivariate polynomials of degree not exceeding one.
Keywords: bivariate, mean-value
Mots-clés : Lagrange, interpolation. 
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Kh. Rahsepar Fard. An approach to interpolation by integration. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2009), pp. 21-25. http://geodesic.mathdoc.fr/item/UZERU_2009_2_a3/

[1] Hakopian H.A., “Multivariate Interpolation II of Lagrange and Hermite Type”, Studia Mathematica, 80, 1984, 77–88 | MR | Zbl