Found 156 Documents (Results 1–100)
The dependence of the best rational approximation of analytic functions on the distribution of the poles of the approximating functions. (English) Zbl 0437.30026
MSC:
30E10
A contribution to the problem of weighted polynomial approximation of the derivative of a function by the derivative of its approximating polynomial. (English) Zbl 0412.42004
On some filtration problem for homogeneous and isotropic random fields. (Russian) Zbl 0405.60045
Teor. Veroyatn. Mat. Stat. 13, 13-20 (1975).
Best approximation of functions specified with an error at a finite number of points. (English) Zbl 0373.41021
MSC:
41A50
Best approximation of functions whose values in a finite number of points are given with errors. (Russian) Zbl 0364.41018
MSC:
41A50
Über die Approximation von Funktionen von beschränkter Variation durch rationale Funktionen. (Russian) Zbl 0355.41019
Nearby alternating Chebyshev approximation. (English) Zbl 0352.41028
MSC:
41A50
On saturation with splines. (English) Zbl 0342.41013
Continuity of a multivalued metric projection in normed linear spaces. (English. Russian original) Zbl 0341.46014
Sov. Math., Dokl. 16, 1034-1036 (1975); translation from Dokl. Akad. Nauk SSSR 223, 1064-1066 (1975).
Restricted range approximation and its application to digital filter design. (English) Zbl 0334.65012
Zur Einschließung der Minimalabweichung in metrisierbaren lokalkonvexen Räumen. (German) Zbl 0331.41022
Local approximation of periodic functions by linear polynomial methods. (English. Russian original) Zbl 0331.41016
Sov. Math., Dokl. 16, 1238-1240 (1975); translation from Dokl. Akad. Nauk SSSR 224, 523-524 (1975).
Linear deviations of the classes \(\widetilde W^\alpha_p\) and approximations in spaces of multipliers. (Lineare Abweichungen der Klassen \(\widetilde W^\alpha_p\) und Näherungen in Multiplikatorenräumen.) (Russian) Zbl 0329.41023
Reviewer: L. Ciobanu
\(L_p\) convergence of generalized convex functions and their uniform convergence. (English) Zbl 0328.41023
Relative approximation. (English) Zbl 0328.41021
The existence of discontinuous metric projections. (English. Russian original) Zbl 0327.46021
Math. Notes 16(1974), 1107-1111 (1975); translation from Mat. Zametki 16, 857-864 (1974).
Convex antiproximinal sets in spaces \(c_0\) and \(c\). (English. Russian original) Zbl 0327.41030
Math. Notes 17, 263-268 (1975); translation from Mat. Zametki 17, 449-457 (1975).
The connectivity and approximation properties of sets in linear normed spaces. (English. Russian original) Zbl 0327.41029
Math. Notes 17, 114-119 (1975); translation from Mat. Zametki 17, 193-204 (1975).
Über strukturelle Charakteristiken von Klassen von Funktionen mit gegebener Ordnung der besten Approximation. (Russian) Zbl 0326.41020
On optimal approximation of operators. (English. Russian original) Zbl 0326.41019
Sov. Math., Dokl. 16, 1084-1088 (1975); translation from Dokl. Akad. Nauk SSSR 223, 1307-1310 (1975).
Another characterization of Haar subspaces. (English) Zbl 0325.41020
MSC:
41A50
Der Interpolationsprozeßvon Egervary und Turan, der für ein erweitertes System Cebysevscher Knoten konstruiert ist. (Russian) Zbl 0325.41002
Best approximations in the space of bounded linear operators from C (X) to C (Y). (English) Zbl 0324.41022
Best approximations for functions of two variables. (English. Russian original) Zbl 0324.41019
Sov. Math., Dokl. 16, 1051-1055 (1975); translation from Dokl. Akad. Nauk SSSR 223, 1079-1082 (1975).
Imbedding classes of functions with dominant mixed modulus of smoothness. (English) Zbl 0322.46038
Proc. Steklov Inst. Math. 131 (1974), 206-218 (1975).
Über die Dichte der Menge der Punkte mit maximaler Abweichung bei der besten Approximation stetiger periodischer Funktionen. (Russian) Zbl 0322.42001
An analogue of Jackson theorem of G-distance in the space of continuous functions. (English) Zbl 0322.41021
On Lipschitz conditions, strong unicity and a theorem of A. K. Cline. (English) Zbl 0322.41020
MSC:
41A50
Comparisons between best polynomial approximations and interpolating polynomials. (English) Zbl 0322.41019
Estimators for functions of the probability of success in a sequence of Bernoulli trials. (English) Zbl 0321.62046
On the conditional Chebyshev centre of a bounded set of continuous functions. (Russian) Zbl 0321.41026
An optimal lattice cubature formula in Banach spaces of periodic functions. (English) Zbl 0321.41022
Best methods of interpolation for certain classes of differentiable functions. (English) Zbl 0318.41021
Best approximations of continuous functions by piecewise monotone functions. (English) Zbl 0318.41019
Optimal approximation of convex curves by functions which are piecewise linear. (English) Zbl 0317.65005
Best and partial best \(L_1\) approximations by polynomials to certain rational functions. (English) Zbl 0317.41024
Die Approximation vermittels Splines mit gegebener Verteilungsdichte der Knoten. (Russian) Zbl 0317.41010
Alternation with a null point. (English) Zbl 0316.41021
MSC:
41A50
Eine optimale Gitter-Kubaturformel auf Banachräumen periodischer Funktionen. (Russian) Zbl 0315.41026
Optimale Approximation mit Nebenbedingungen an lineare Funktionale auf \(H^2(E_\rho)\) und \(L^2(E_\rho)\). (German) Zbl 0314.65005
On best approximation in classes of periodic functions defined by integrals of a linear combination of absolutely monotonic kernels. (English) Zbl 0314.42002
Osservazioni in merito alla ottimizzazione della costante che figura in un classico teorema di Jackson. (Italian) Zbl 0314.41017
Best local approximation. (English) Zbl 0314.41016
Direkte und inverse Sätze vom Jacksonschen Typ in \(L_p\)-Räumen, \(0<p<1\). (Russian) Zbl 0314.41004
Approximation property of functions and absolute convergence of Fourier series. (English) Zbl 0313.42011
Optimal quadrature formulae for sets of functions satisfying boundary conditions. (English) Zbl 0313.41011
Über gewisse Extremalprobleme für differenzierbare Funktionen einer Veränderlichen. (Russian) Zbl 0313.41008
Eindeutigkeit bei der gleichmäßigen Approximation mit Tschebyscheffschen Splinefunktionen. (German) Zbl 0313.41006
A piecewise linear approximation of \(\log^ 2(x)\) with equal maximum errors in all intervals. (English) Zbl 0312.65009
Extremale Unterräume im Problem über die Durchmesser der Klassen \(H_\omega[a,b]\) im Raume \(C[a,b]\). (Russian) Zbl 0312.41019
Restricted centers in subalgebras of C(X). (English) Zbl 0312.41016
MSC:
41A50
Beste Interpolationsmethoden für gewisse Klassen differenzierbarer Funktionen. (Russian) Zbl 0312.41015
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