Approximation of unbounded operators by bounded operators and related extremal problems

Russian Mathematical Surveys

Volumn 51, Issue 6, 1996, Pages 1093-1126

  Arestov, V V ^a  

^a NONE

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EID: 0030328990     PISSN: 00360279     EISSN: 14684829     Source Type: Journal    
DOI: 10.1070/RM1996v051n06ABEH003001     Document Type: Article

References (198)

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151. V. V. Arestov, "Inequalities for fractional derivatives on the half-line", in: Approximation Theory, Banach Center Publications, Vol. 4, Banach Center, Warsaw 1979, pp. 19-34. (English)
152. V. N. Konovalov, "Exact inequalities for the norms of functions, third partial derivatives second mixed or directional derivatives", Mat. Zametki 23 (1978), 67-78; English transl. in Math. Notes 23 (1978).
153. V. N. Konovalov, "Exact inequalities for the norms of functions, third partial derivatives second mixed or directional derivatives", Mat. Zametki 23 (1978), 67-78; English transl. in Math. Notes 23 (1978).
154. O. A. Timoshin, "Best approximation of the second mixed derivative operator in the metrics L and C on the plane", Mat. Zametki 36 (1984), 369-375; English transl. in Math. Notes 36 (1984).
155. O. A. Timoshin, "Best approximation of the second mixed derivative operator in the metrics L and C on the plane", Mat. Zametki 36 (1984), 369-375; English transl. in Math. Notes 36 (1984).
156. O. A. Timoshin, "Exact inequalities between the norms of second and third-order partial derivatives", Dokl. Akad. Nauk 344 (1995), 20-22; English transl. in Russian Acad. Sci. Dokl. Math. 52 (1996).
157. O. A. Timoshin, "Exact inequalities between the norms of second and third-order partial derivatives", Dokl. Akad. Nauk 344 (1995), 20-22; English transl. in Russian Acad. Sci. Dokl. Math. 52 (1996).
158. V. G. Timofeev, "An inequality of Landau type for functions of several variables", Mat. Zametki 37 (1985), 676-689; English transl. in Math. Notes 37 (1985).
159. V. G. Timofeev, "An inequality of Landau type for functions of several variables", Mat. Zametki 37 (1985), 676-689; English transl. in Math. Notes 37 (1985).
160. E. Gagliardo, "Proprietà di alcune classi di funzioni in più variabili", Ricerche Mat. 8:7 (1958), 102-137.
161. L. Nirenberg, "On elliptic partial differential equations", Ann. Scuola Norm. Sup. Pisa 13 (1959), 115-162.
162. O. V. Besov, "Multiplicative estimates for integral norms of differentiable functions of several variables", Trudy Mat. Inst. Steklov. 131 (1974), 3-15; English transl. in Proc. Steklov Inst. Math. 131 (1975).
163. O. V. Besov, "Multiplicative estimates for integral norms of differentiable functions of several variables", Trudy Mat. Inst. Steklov. 131 (1974), 3-15; English transl. in Proc. Steklov Inst. Math. 131 (1975).
164. J. Peetre, "A remark on Sobolev spaces. The case 0 < p < 1", J. Approx. Theory 13 (1975), 218-238.
165. A. P. Buslaev and V. M. Tikhomirov, "On inequalities for derivatives in the multidimensional case", Mat. Zametki 25 (1979), 59-74; English transl. in Math. Notes 25 (1979).
166. A. P. Buslaev and V. M. Tikhomirov, "On inequalities for derivatives in the multidimensional case", Mat. Zametki 25 (1979), 59-74; English transl. in Math. Notes 25 (1979).
167. p metrics (0 < p ≤ ∞) for functions of several variables", Inst. Mat. Mekh. Ural. Nauchn. Tsentr. Akad. Nauk SSSR, Sverdlovsk 1984. Manuscript deposited in VINITI 27 March 1984, Deposit No. 1665-84. (Russian)
168. p metric for 0 < p ≤ ∞ for functions of several variables, and optimal differentiation of functions", Scientific Lecture, Ural Section, Russian Academy of Sciences, Institute of Mathematics and Mechanics, Sverdlovsk 1988. (Russian)
169. V. N. Gabushin, "On the differentiation of functions defined with an error", in: Lecture Summaries, All-Union Conf. on ill-posed problems, ILIM, Frunze 1979, p. 37.
170. V. N. Gabushin, "Estimates for the moduli of continuity of operators", in: Algorithmic and numerical analysis of ill-posed problems, Ekaterinburg 1995, pp. 45-46. (Russian)
171. V. V. Arestov, "Approximation of operators of convolution type by bounded linear operators", Trudy Mat. Inst. Steklov. 145 (1980), 3-19; English transl. in Proc. Steklov Inst. Math. 145 (1981).
172. V. V. Arestov, "Approximation of operators of convolution type by bounded linear operators", Trudy Mat. Inst. Steklov. 145 (1980), 3-19; English transl. in Proc. Steklov Inst. Math. 145 (1981).
173. G. G. Lorentz, Approximation of functions, Holt, Rinehart, and Winston, New York 1966.
174. V. M. Tikhomirov, Some problems of approximation theory, Izdat. Moskov. Gos. Univ., Moscow 1976. (Russian)
175. p and approximations in multiplier spaces", Mat. Zametki 18 (1975), 97-108; English transl. in Math. Notes 18 (1975).
176. p and approximations in multiplier spaces", Mat. Zametki 18 (1975), 97-108; English transl. in Math. Notes 18 (1975).
177. F. P. Greenleaf, Invariant means on topological groups and their applications, Van Nostrand Reinhold, New York 1969; Russian transl., Mir, Moscow 1973.
178. E. Hewitt and K. Ross, Abstract harmonic analysis, Springer, Berlin 1963; Russian transl., Nauka, Moscow 1975.
179. p spaces", Acta Math. 104 (1960), 93-140; Russian transl., Inostr. Lit., Moscow 1962.
180. p spaces", Acta Math. 104 (1960), 93-140; Russian transl., Inostr. Lit., Moscow 1962.
181. R. Larsen, An introduction to the theory of multipliers, Springer-Verlag, Berlin 1971.
182. E. M. Stein and G. Weiss, Introduction to harmonic analysis on Euclidean spaces, Princeton Univ. Press, Princeton, NJ 1971; Russian transl., Mir, Moscow 1974.
183. V. V. Arestov, "On the best approximation of the differentiation operator", in: Approximation of functions by polynomials and splines, Ural. Nauchn. Tsentr. Akad. Nauk SSSR, Sverdlovsk 1985, pp. 3-14. (Russian)
184. V. V. Arestov, "Approximation of linear operators and related extremal problems", Trudy Mat. Inst. Steklov. 138 (1975), 29-42; English transl. in Proc. Steklov Inst. Math. 138 (1977).
185. V. V. Arestov, "Approximation of linear operators and related extremal problems", Trudy Mat. Inst. Steklov. 138 (1975), 29-42; English transl. in Proc. Steklov Inst. Math. 138 (1977).
186. V. V. Arestov, "On some extremal problems for differentiable functions of one variable, Trudy Mat. Inst. Steklov. Akad. Nauk SSSR 138 (1975), 3-28; English transl. in Proc. Steklov Inst. Math. 138 (1977).
187. V. V. Arestov, "On some extremal problems for differentiable functions of one variable, Trudy Mat. Inst. Steklov. Akad. Nauk SSSR 138 (1975), 3-28; English transl. in Proc. Steklov Inst. Math. 138 (1977).
188. N. P. Korneichuk, Extremal problems of approximation theory, Nauka, Moscow 1976. (Russian)
189. V. V. Arestov and V. N. Gabushin, "On the approximation of classes of differentiable functions", Mat. Zametki 9 (1971), 105-112; English transl. in Math. Notes 9 (1971).
190. V. V. Arestov and V. N. Gabushin, "On the approximation of classes of differentiable functions", Mat. Zametki 9 (1971), 105-112; English transl. in Math. Notes 9 (1971).
191. Yu. N. Subbotin, "Connection of spline approximations with the problem of the approximation of a class by a class", Mat. Zametki 9 (1971), 501-510; English transl. in Math. Notes 9 (1971).
192. Yu. N. Subbotin, "Connection of spline approximations with the problem of the approximation of a class by a class", Mat. Zametki 9 (1971), 501-510; English transl. in Math. Notes 9 (1971).
193. Yu. N. Subbotin, "Best approximation of a class of functions by another class", Mat. Zametki 2 (1967), 495-504; English transl. in Math. Notes 2 (1967).
194. Yu. N. Subbotin, "Best approximation of a class of functions by another class", Mat. Zametki 2 (1967), 495-504; English transl. in Math. Notes 2 (1967).
195. L. V. Taikov, "On best approximation in the mean of some classes of analytic functions", Mat. Zametki 1 (1967), 155-162; English transl. in Math. Notes 1 (1967).
196. L. V. Taikov, "On best approximation in the mean of some classes of analytic functions", Mat. Zametki 1 (1967), 155-162; English transl. in Math. Notes 1 (1967).
197. B. E. Klots, "Approximations of differentiable functions by functions of greater smoothness", Mat. Zametki 21 (1977), 21-32; English transl., in Math. Notes 21 (1977).
198. B. E. Klots, "Approximations of differentiable functions by functions of greater smoothness", Mat. Zametki 21 (1977), 21-32; English transl., in Math. Notes 21 (1977).