V. N. Gabushin, “Best approximations of functionals on certain sets”, Mat. Zametki, 8:5 (1970), 551–562; Math. Notes, 8:5 (1970), 780

This publication is cited in the following 22 articles:

R. R. Akopyan, V. V. Arestov, V. G. Timofeev, “Stechkin's Problem on the Approximation of the Differentiation Operator in the Uniform Norm on the Half-Line”, Math. Notes, 115:6 (2024), 853–867
Vitalii V. Arestov, “Approximation of differentiation operators by bounded linear operators in lebesgue spaces on the axis and related problems in the spaces of $(p,q)$-multipliers and their predual spaces”, Ural Math. J., 9:2 (2023), 4–27
R. R. Akopyan, “Optimal recovery of a function holomorphic in a polydisc from its approximate values on a part of the skeleton”, Siberian Adv. Math., 33:4 (2023), 261–277
Kozynenko O. Skorokhodov D., “Kolmogorov-Type Inequalities For the Norms of Fractional Derivatives of Functions Defined on the Positive Half Line”, Ukr. Math. J., 72:10 (2021), 1579–1594
V. V. Arestov, R. R. Akopyan, “Zadacha Stechkina o nailuchshem priblizhenii neogranichennogo operatora ogranichennymi i rodstvennye ei zadachi”, Tr. IMM UrO RAN, 26, no. 4, 2020, 7–31
R. R. Akopyan, “Analog of the Hadamard Theorem and Related Extremal Problems on the Class of Analytic Functions”, Proc. Steklov Inst. Math. (Suppl.), 315, suppl. 1 (2021), S13–S26
Arestov V., “Uniform Approximation of Differentiation Operators By Bounded Linear Operators in the Spacel(R)”, Anal. Math., 46:3 (2020), 425–445
R. R. Akopyan, “An analogue of the two-constants theorem and optimal recovery of analytic functions”, Sb. Math., 210:10 (2019), 1348–1360
Vitalii V. Arestov, Lecture Notes in Computer Science, 11548, Mathematical Optimization Theory and Operations Research, 2019, 434
Akopyan R.R., “Optimal Recovery of a Derivative of An Analytic Function From Values of the Function Given With An Error on a Part of the Boundary”, Anal. Math., 44:1 (2018), 3–19
V. V. Arestov, “Best Uniform Approximation of the Differentiation Operator by Operators Bounded in the Space $L_2$”, Proc. Steklov Inst. Math. (Suppl.), 308, suppl. 1 (2020), S9–S30
R. R. Akopian, “Optimal Recovery of Analytic Functions from Boundary Conditions Specified with Error”, Math. Notes, 99:2 (2016), 177–182
R. R. Akopyan, “Optimal recovery of a function analytic in a disk from approximately given values on a part of the boundary”, Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 25–37
S. B. Vakarchuk, A. V. Shvachko, “Inequalities of Kolmogorov's type for derived functions in two variables and application to approximation by an “angle””, Russian Math. (Iz. VUZ), 59:11 (2015), 1–18
R. R. Akopian, “Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values”, Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 13–18
Vitalii V. Arestov, “On the best approximation of the differentiation operator”, Ural Math. J., 1:1 (2015), 20–29
Babenko V.F. Churilova M.S. Parfinovych N.V. Skorokhodov D.S., “Kolmogorov Type Inequalities For the Marchaud Fractional Derivatives on the Real Line and the Half-Line”, J. Inequal. Appl., 2014, 504
Babenko Yu. Skorokhodov D., “Stechkin's Problem for Differential Operators and Functionals of First and Second Orders”, J. Approx. Theory, 167 (2013), 173–200
Jussi Klemelä, Alexandre B. Tsybakov, “Sharp Adaptive Estimation of Linear Functionals”, Ann. Statist., 29:6 (2001)
V. V. Arestov, “The best approximation to a class of functions of several variables by another class and related extremum problems”, Math. Notes, 64:3 (1998), 279–294