O. Davydov. On almost interpolation // J. Approx. Theory, 91 (1997), no. 3, 398@ndash;418.
O. Davydov. Stable local bases for multivariate spline spaces // J. Approx. Theory, 111 (2001), no. 2, 267–297.
O. Davydov, L. L. Schumaker. On stable local bases for bivariate polynomial spline spaces // Constr. Approx., 18 (2002), no. 1, 87–116.
O. Davydov, F. Zeilfelder. Scattered data
fitting by direct extension of local polynomials to bivariate splines // Adv. Comput. Math., 21 (2004), no. 3-4, 223–271.
O. Davydov, R. Stevenson. Hierarchical Riesz bases for $H_s(\Omega),
1<s<5/2$ // Constr. Approx., 22 (2005), no. 3, 365–394.
O. V. Davydov, “Sequences of rectangular Fourier sums of continuous functions with given majorants of the mixed moduli of smoothness”, Mat. Sb., 187:7 (1996), 35–58; Sb. Math., 187:7 (1996), 981–1004
O. V. Davydov, “Best uniform approximation of periodic functions by splines”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 5, 9–16; Soviet Math. (Iz. VUZ), 35:5 (1991), 7–14
5.
O. V. Davydov, “Approximation of functions of class $C(\varepsilon)$ by sequences of de la Vallée-Poussin sums”, Mat. Zametki, 49:6 (1991), 33–41; Math. Notes, 49:6 (1991), 577–583
1990
6.
O. V. Davydov, “Convergence of Lagrange interpolation processes in classes of differentiable functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 4, 74–77; Soviet Math. (Iz. VUZ), 34:4 (1990), 89–92
1989
7.
O. V. Davydov, “Asymptotic behavior of best approximations of individual functions
of classes $W^rH_\omega$ in the metric $L_p$”, Dokl. Akad. Nauk SSSR, 306:4 (1989), 777–781; Dokl. Math., 39:3 (1989), 541–544