Geodesic
Sharp Estimates of the Error of Interpolation by Bilinear Splines for Some Classes of Functions
Matematičeskie zametki, Tome 102 (2017) no. 3, pp. 462-469

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For some classes of functions of two variables defined by their moduli of continuity, sharp upper bounds for the approximation of functions by interpolation bilinear splines are obtained.
Keywords: bilinear interpolation spline, modulus of continuity, Steklov function. 
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     author = {M. Sh. Shabozov and S. N. Mekhmonzoda},
     title = {Sharp {Estimates} of the {Error} of {Interpolation} by {Bilinear} {Splines} for {Some} {Classes} of {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {462--469},
     publisher = {mathdoc},
     volume = {102},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_3_a10/}
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M. Sh. Shabozov; S. N. Mekhmonzoda. Sharp Estimates of the Error of Interpolation by Bilinear Splines for Some Classes of Functions. Matematičeskie zametki, Tome 102 (2017) no. 3, pp. 462-469. http://geodesic.mathdoc.fr/item/MZM_2017_102_3_a10/