Geodesic
On Birkhoff Interpolation of Functions of Ordered $\Lambda$-bounded Variation
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 81-83

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A sufficient condition for the uniform convergence of Lagrange and (0,2,3) Birkhoff interpolation on the whole real line is obtained. The condition is in terms of ordered $\Lambda$-bounded variation. 
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     author = {V. V. Novikov},
     title = {On {Birkhoff} {Interpolation} of {Functions} of {Ordered} $\Lambda$-bounded {Variation}},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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V. V. Novikov. On Birkhoff Interpolation of Functions of Ordered $\Lambda$-bounded Variation. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 81-83. http://geodesic.mathdoc.fr/item/ISU_2013_13_1_a19/