Theory of functions, approximations theory, mathematical statistics
Main publications:
K.T.Mynbaev, Short-memory linear processes and econometric applications, 452 pp. ISBN 0470924195., Wiley & Sons, John Wiley & Sons, Inc. 90 Eglinton Ave. E. Corporate Headquarters Suite 300 111 River Street Toronto, Ontario M4P 2Y3 Hoboken, NJ 07030-5774, USA, 2011
K.T. Mynbaev, G.S. Darkenbayeva, “Weak convergence of linear and quadratic forms and related statements on Lp-approximability”, Journal of Mathematical Analysis and Applications, 473 (2019), 1305-1319
K.T. Mynbaev, C. Martins Filho, “Unified estimation of densities on bounded and unbounded domains”, Annals of the Institute of Statistical Mathematics, 71:4 (2019), 853-887
K.T. Mynbaev, C. Martins Filho, “Reducing bias in nonparametric density estimation via bandwidth dependent kernels: L1 view”, Statistics and Probability Letters, 123 (2017), 17-22
K.T. Mynbaev, C. Martins Filho, “Consistency and asymptotic normality for a nonparametric prediction under measurement errors”, Journal of Multivariate Analysis, 139 (2015), 166–188
K. Mynbaev, Zh. Assylbekov, “Convergence of the partition function in the static word embedding model”, Eurasian Math. J., 13:4 (2022), 70–81
2018
3.
K. T. Mynbaev, “Least squares estimator asymptotics for vector autoregressions with deterministic regressors”, Eurasian Math. J., 9:1 (2018), 40–68
1993
4.
K. T. Mynbaev, “On approximation of integral operators, their kernels, and solutions of Fredholm integral equations of the second kind in connection with an operator of Sturm-Liouville type”, Izv. RAN. Ser. Mat., 57:1 (1993), 192–201; Russian Acad. Sci. Izv. Math., 42:1 (1994), 173–182
K. T. Mynbaev, “Approximate solution of a Fredholm integral equation of the second
kind in a multidimensional domain”, Dokl. Akad. Nauk SSSR, 317:4 (1991), 829–832; Dokl. Math., 43:2 (1991), 543–546
6.
K. T. Mynbaev, “Approximation of the operator of differentiation in a weighted Sobolev class”, Mat. Zametki, 49:5 (1991), 153–154; Math. Notes, 49:5 (1991), 550–551
7.
K. T. Mynbaev, “Optimal quadrature formulas for functions belonging to a weight class”, Mat. Zametki, 49:2 (1991), 133–140; Math. Notes, 49:2 (1991), 207–214
8.
K. T. Mynbaev, “On the method of mechanical quadratures for a Fredholm integral equation in an unbounded domain”, Zh. Vychisl. Mat. Mat. Fiz., 31:3 (1991), 388–398; U.S.S.R. Comput. Math. Math. Phys., 31:3 (1991), 37–45
1990
9.
K. T. Mynbaev, “Cubature formulas for functions in a weighted anisotropic Sobolev–Liouville space”, Dokl. Akad. Nauk SSSR, 310:6 (1990), 1300–1302; Dokl. Math., 41:1 (1990), 182–185
1988
10.
K. T. Mynbaev, “Estimates for some functionals connected with embeddings of anisotropic weighted Liouville classes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 8, 56–63; Soviet Math. (Iz. VUZ), 32:8 (1988), 75–85
11.
K. T. Mynbaev, “An anisotropic seminorm of Strichartz type and capacities”, Trudy Mat. Inst. Steklov., 181 (1988), 200–212; Proc. Steklov Inst. Math., 181 (1989), 219–232
K. T. Mynbaev, “Bounds of the approximation numbers of imbeddings of anisotropic
Sobolev spaces with a weight”, Dokl. Akad. Nauk SSSR, 277:3 (1984), 538–541
1982
13.
L. K. Kusainova, K. T. Mynbaev, “On imbedding and compactness theorems for anisotropic weighted Sobolev spaces”, Dokl. Akad. Nauk SSSR, 263:5 (1982), 1050–1053
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