Shojnzhurov, Ts. B. Estimation of the norm of the error functional for interpolation formulas in the Sobolev space \(L_ 2^{(m)}\). (English) Zbl 0709.65526 Proc. Steklov Inst. Math. 180, 277-278 (1989). MSC: 65D05 65G99 46E35 PDF BibTeX XML Cite \textit{Ts. B. Shojnzhurov}, Proc. Steklov Inst. Math. 180, 277--278 (1989; Zbl 0709.65526)
Polyako, R. V. On an iterative spline-quadrature method for solving integral equations of the second kind. (English) Zbl 0709.65525 Proc. Steklov Inst. Math. 180, 213-214 (1989). MSC: 65R20 41A55 41A15 47A53 PDF BibTeX XML Cite \textit{R. V. Polyako}, Proc. Steklov Inst. Math. 180, 213--214 (1989; Zbl 0709.65525)
Ivanov, V. V. Optimal precison approximation of functions with singular points unknow in advance. (English) Zbl 0709.65524 Proc. Steklov Inst. Math. 180, 139-141 (1989). MSC: 65D15 65D25 PDF BibTeX XML Cite \textit{V. V. Ivanov}, Proc. Steklov Inst. Math. 180, 139--141 (1989; Zbl 0709.65524)
Zadiraka, V. K. Optimal precision quadrature formulas for computing integrals of rapidly oscillating functions. (English) Zbl 0709.65523 Proc. Steklov Inst. Math. 180, 133-134 (1989). MSC: 65D32 PDF BibTeX XML Cite \textit{V. K. Zadiraka}, Proc. Steklov Inst. Math. 180, 133--134 (1989; Zbl 0709.65523)
Brudnyĭ, Yu. A.; Shvartsman, P. A. Extension of functions with preservation of smoothness. (English. Russian original) Zbl 0709.54504 Proc. Steklov Inst. Math. 180, 67-69 (1989); translation from Tr. Mat. Inst. Steklov. 180, 60-61 (1987). MSC: 54C20 PDF BibTeX XML Cite \textit{Yu. A. Brudnyĭ} and \textit{P. A. Shvartsman}, Proc. Steklov Inst. Math. 180, 67--69 (1989; Zbl 0709.54504); translation from Tr. Mat. Inst. Steklov. 180, 60--61 (1987) Full Text: MNR
Vakarchuk, B. S.; Stepanenko, P. T. On a geometric method of reconstructing space curves arcs of geodesic circles on cylindrical surfaces. (English) Zbl 0709.53539 Proc. Steklov Inst. Math. 180, 89-90 (1989). MSC: 53A04 51M15 51M25 PDF BibTeX XML Cite \textit{B. S. Vakarchuk} and \textit{P. T. Stepanenko}, Proc. Steklov Inst. Math. 180, 89--90 (1989; Zbl 0709.53539)
Kosolap, A. I. Superconvex functions and multiextremal problems. (English) Zbl 0709.49509 Proc. Steklov Inst. Math. 180, 161-162 (1989). MSC: 49K30 26B25 PDF BibTeX XML Cite \textit{A. I. Kosolap}, Proc. Steklov Inst. Math. 180, 161--162 (1989; Zbl 0709.49509)
Shan’kov, V. V. Difference operators with variable step. (English) Zbl 0709.47504 Proc. Steklov Inst. Math. 180, 271-272 (1989). MSC: 47B39 39A70 PDF BibTeX XML Cite \textit{V. V. Shan'kov}, Proc. Steklov Inst. Math. 180, 271--272 (1989; Zbl 0709.47504)
Timan, M. F; Semirenko, T. N. Constructive characteristics of the properties of Kernels of integral operators and the behavior of their \(s\)-numbers. (English) Zbl 0709.47503 Proc. Steklov Inst. Math. 180, 257-259 (1989). MSC: 47Gxx 45P05 47A10 47B10 PDF BibTeX XML Cite \textit{M. F Timan} and \textit{T. N. Semirenko}, Proc. Steklov Inst. Math. 180, 257--259 (1989; Zbl 0709.47503)
Epifanov, O. V.; Korobeĭnik, Yu. F. Normal solvability of linear differential operators of infinite order. (English) Zbl 0709.47502 Proc. Steklov Inst. Math. 180, 126-128 (1989). MSC: 47E05 34A35 47A53 PDF BibTeX XML Cite \textit{O. V. Epifanov} and \textit{Yu. F. Korobeĭnik}, Proc. Steklov Inst. Math. 180, 126--128 (1989; Zbl 0709.47502)
Salieva, O. A. Direct and inverse imbedding theorems for seminormed spaces. (English) Zbl 0709.46529 Proc. Steklov Inst. Math. 180, 228-230 (1989). MSC: 46E35 PDF BibTeX XML Cite \textit{O. A. Salieva}, Proc. Steklov Inst. Math. 180, 228--230 (1989; Zbl 0709.46529)
Rustamov, Kh. P. On the imbedding of certain classes of functions on the sphere. (English) Zbl 0709.46528 Proc. Steklov Inst. Math. 180, 223-225 (1989). MSC: 46E35 PDF BibTeX XML Cite \textit{Kh. P. Rustamov}, Proc. Steklov Inst. Math. 180, 223--225 (1989; Zbl 0709.46528)
Radyno, Ya. V. Vectors of exponential type and their applications. (English) Zbl 0709.46527 Proc. Steklov Inst. Math. 180, 217-218 (1989). MSC: 46A13 34G10 PDF BibTeX XML Cite \textit{Ya. V. Radyno}, Proc. Steklov Inst. Math. 180, 217--218 (1989; Zbl 0709.46527)
Ovchinnikov, V. I. The Calderon theorem for the pair of spaces \(L_ 1+L_ \infty\) and \(L_ 1\cap L_ \infty\). (English) Zbl 0709.46526 Proc. Steklov Inst. Math. 180, 197-198 (1989). MSC: 46B20 46E30 PDF BibTeX XML Cite \textit{V. I. Ovchinnikov}, Proc. Steklov Inst. Math. 180, 197--198 (1989; Zbl 0709.46526)
Nikol’skij, Yu. S. On imbedding theorems for weighted classes of differentiable functions. (English) Zbl 0709.46525 Proc. Steklov Inst. Math. 180, 193-194 (1989). MSC: 46E35 PDF BibTeX XML Cite \textit{Yu. S. Nikol'skij}, Proc. Steklov Inst. Math. 180, 193--194 (1989; Zbl 0709.46525)
Nasonova, L. V. On a class of functions with variable smoothness. (English) Zbl 0709.46524 Proc. Steklov Inst. Math. 180, 191-192 (1989). MSC: 46E35 26E99 PDF BibTeX XML Cite \textit{L. V. Nasonova}, Proc. Steklov Inst. Math. 180, 191--192 (1989; Zbl 0709.46524)
Mamedov, G. A. A constructive description of certain spaces. (English) Zbl 0709.46523 Proc. Steklov Inst. Math. 180, 183-184 (1989). MSC: 46E35 PDF BibTeX XML Cite \textit{G. A. Mamedov}, Proc. Steklov Inst. Math. 180, 183--184 (1989; Zbl 0709.46523)
Kudryavtsev, N. L. On imbedding of space of Nikol’skij-Besov type for different dimensions. (English) Zbl 0709.46522 Proc. Steklov Inst. Math. 180, 165-166 (1989). MSC: 46E35 PDF BibTeX XML Cite \textit{N. L. Kudryavtsev}, Proc. Steklov Inst. Math. 180, 165--166 (1989; Zbl 0709.46522)
Kokilashvili, V. M. Anisotropic maximal functions and potentials in weighted Lorentz spaces. (English) Zbl 0709.46521 Proc. Steklov Inst. Math. 180, 159-161 (1989). MSC: 46E30 42B25 31B15 PDF BibTeX XML Cite \textit{V. M. Kokilashvili}, Proc. Steklov Inst. Math. 180, 159--161 (1989; Zbl 0709.46521)
Kipriyanov, I. A.; Ivanov, L. A. On the theory of Riesz potentials on Lorentz spaces. (English) Zbl 0709.46520 Proc. Steklov Inst. Math. 180, 156-157 (1989). MSC: 46E30 31B15 PDF BibTeX XML Cite \textit{I. A. Kipriyanov} and \textit{L. A. Ivanov}, Proc. Steklov Inst. Math. 180, 156--157 (1989; Zbl 0709.46520)
Kashchenko, Yu. D. A criterion for the existence of the \(p\)-limit. (English) Zbl 0709.46519 Proc. Steklov Inst. Math. 180, 154-155 (1989). MSC: 46E30 PDF BibTeX XML Cite \textit{Yu. D. Kashchenko}, Proc. Steklov Inst. Math. 180, 154--155 (1989; Zbl 0709.46519)
Kalyabin, G. A. Integral representations and estimates for generalized differences of entire functions of exponential type. (English) Zbl 0709.46518 Proc. Steklov Inst. Math. 180, 150-151 (1989). MSC: 46E35 47Gxx 46F10 PDF BibTeX XML Cite \textit{G. A. Kalyabin}, Proc. Steklov Inst. Math. 180, 150--151 (1989; Zbl 0709.46518)
Imranov, N. I. On equivalent norms in weighted spaces. (English) Zbl 0709.46517 Proc. Steklov Inst. Math. 180, 144-145 (1989). MSC: 46E35 34B10 PDF BibTeX XML Cite \textit{N. I. Imranov}, Proc. Steklov Inst. Math. 180, 144--145 (1989; Zbl 0709.46517)
Il’in, Valentin Petrovich On imbedding theorems for spaces of differentiable functions in domains. (English) Zbl 0709.46516 Proc. Steklov Inst. Math. 180, 142-144 (1989). MSC: 46E35 PDF BibTeX XML Cite \textit{V. P. Il'in}, Proc. Steklov Inst. Math. 180, 142--144 (1989; Zbl 0709.46516)
Ivanov, V. I. Representation of functions by Bochner-Riesz spherical means in the spaces \(\varphi(L)\). (English) Zbl 0709.46515 Proc. Steklov Inst. Math. 180, 141-142 (1989). MSC: 46B04 42A65 46E30 PDF BibTeX XML Cite \textit{V. I. Ivanov}, Proc. Steklov Inst. Math. 180, 141--142 (1989; Zbl 0709.46515)
Gol’dshtejn, V. M. Nonlinear capacity and extension of differentiable functions. (English) Zbl 0709.46514 Proc. Steklov Inst. Math. 180, 109-110 (1989). MSC: 46E35 31B15 PDF BibTeX XML Cite \textit{V. M. Gol'dshtejn}, Proc. Steklov Inst. Math. 180, 109--110 (1989; Zbl 0709.46514)
Gol’dman, M. L. On the imbedding of a Nikol’skij-Besov space in a weighted Lorentz space. (English) Zbl 0709.46513 Proc. Steklov Inst. Math. 180, 106-109 (1989). MSC: 46E30 46E35 PDF BibTeX XML Cite \textit{M. L. Gol'dman}, Proc. Steklov Inst. Math. 180, 106--109 (1989; Zbl 0709.46513)
Gadzhiev, A. D.; Rustamov, Kh. P. On generalized Nikol’skij-Besov spaces on the sphere. (English) Zbl 0709.46512 Proc. Steklov Inst. Math. 180, 99-102 (1989). MSC: 46E35 PDF BibTeX XML Cite \textit{A. D. Gadzhiev} and \textit{Kh. P. Rustamov}, Proc. Steklov Inst. Math. 180, 99--102 (1989; Zbl 0709.46512)
Bukhvalov, A. V. Traces of functions in Sobolev spaces with metric generated by a symmetric norm. (English) Zbl 0709.46511 Proc. Steklov Inst. Math. 180, 82-83 (1989). MSC: 46E35 PDF BibTeX XML Cite \textit{A. V. Bukhvalov}, Proc. Steklov Inst. Math. 180, 82--83 (1989; Zbl 0709.46511)
Bochkarev, S. V. The conjugate Franklin system is a basis in the space of continuous functions. (English) Zbl 0709.46510 Proc. Steklov Inst. Math. 180, 66-67 (1989). MSC: 46B15 42A50 PDF BibTeX XML Cite \textit{S. V. Bochkarev}, Proc. Steklov Inst. Math. 180, 66--67 (1989; Zbl 0709.46510)
Besov, O. V. Imbeddings of an anisotropic Sobolev space for a domain with the flexible Horn condition. (English) Zbl 0709.46509 Proc. Steklov Inst. Math. 180, 56-58 (1989). MSC: 46E35 PDF BibTeX XML Cite \textit{O. V. Besov}, Proc. Steklov Inst. Math. 180, 56--58 (1989; Zbl 0709.46509)
Berkolajko, M. Z. Convexity of Banach spaces and imbedding theorems. (English) Zbl 0709.46508 Proc. Steklov Inst. Math. 180, 55-56 (1989). MSC: 46E35 46B20 PDF BibTeX XML Cite \textit{M. Z. Berkolajko}, Proc. Steklov Inst. Math. 180, 55--56 (1989; Zbl 0709.46508)
Babaev, M.-B. A. The approximation of Sobolev classes of functions by sums of products of functions of fewer variables. (English) Zbl 0709.46507 Proc. Steklov Inst. Math. 180, 31-33 (1989). MSC: 46E35 41A30 PDF BibTeX XML Cite \textit{M. B. A. Babaev}, Proc. Steklov Inst. Math. 180, 31--33 (1989; Zbl 0709.46507)
Agoshkov, V. I. On extension with preservation of smoothness class and on existence of traces of functions in spaces used in particle transport theory. (English) Zbl 0709.46506 Proc. Steklov Inst. Math. 180, 21-23 (1989). MSC: 46E35 82C70 PDF BibTeX XML Cite \textit{V. I. Agoshkov}, Proc. Steklov Inst. Math. 180, 21--23 (1989; Zbl 0709.46506)
Pereverzev, S. V. Approximation numbers and the eigenvalue problem for integral operators. (English) Zbl 0709.45505 Proc. Steklov Inst. Math. 180, 206-207 (1989). MSC: 45C05 45P05 45G05 PDF BibTeX XML Cite \textit{S. V. Pereverzev}, Proc. Steklov Inst. Math. 180, 206--207 (1989; Zbl 0709.45505)
Peleshenko, B. I. On singular integral convolution operators of weak type. (English) Zbl 0709.45504 Proc. Steklov Inst. Math. 180, 204-206 (1989). MSC: 45P05 45E10 PDF BibTeX XML Cite \textit{B. I. Peleshenko}, Proc. Steklov Inst. Math. 180, 204--206 (1989; Zbl 0709.45504)
Okolelov, O. P. On a way of using the theory of approximation of functions for solving integral equations of the first kind. (English) Zbl 0709.45503 Proc. Steklov Inst. Math. 180, 198-200 (1989). MSC: 45B05 45L05 PDF BibTeX XML Cite \textit{O. P. Okolelov}, Proc. Steklov Inst. Math. 180, 198--200 (1989; Zbl 0709.45503)
Vajnikko, G. M.; Pedas, A. A. On solution of weakly singular integral equations by the method of mechanical quadratures. (English) Zbl 0709.45502 Proc. Steklov Inst. Math. 180, 86-87 (1989). MSC: 45E10 65R20 PDF BibTeX XML Cite \textit{G. M. Vajnikko} and \textit{A. A. Pedas}, Proc. Steklov Inst. Math. 180, 86--87 (1989; Zbl 0709.45502)
Azizov, M. On the approximation of the solution of integral equations in potential theory. (English) Zbl 0709.45501 Proc. Steklov Inst. Math. 180, 23-25 (1989). MSC: 45B05 45L05 31A99 35J05 PDF BibTeX XML Cite \textit{M. Azizov}, Proc. Steklov Inst. Math. 180, 23--25 (1989; Zbl 0709.45501)
Yatsenko, N. Ya. On the approximation of even and odd bounded \(2\pi\)-periodic functions by trigonometric polynomials of best uniform approximation at a given system of points. (English) Zbl 0709.42527 Proc. Steklov Inst. Math. 180, 282-283 (1989). MSC: 42A10 PDF BibTeX XML Cite \textit{N. Ya. Yatsenko}, Proc. Steklov Inst. Math. 180, 282--283 (1989; Zbl 0709.42527)
Yudin, V. A. On the Fourier sums in \(L_ p\). (English) Zbl 0709.42526 Proc. Steklov Inst. Math. 180, 279-280 (1989). MSC: 42B05 PDF BibTeX XML Cite \textit{V. A. Yudin}, Proc. Steklov Inst. Math. 180, 279--280 (1989; Zbl 0709.42526)
Falaleev, L. P. On the approximation of functions of the Zygmund class by conjugate Cesaro sums. (English) Zbl 0709.42525 Proc. Steklov Inst. Math. 180, 263-264 (1989). MSC: 42A24 42A10 42A50 PDF BibTeX XML Cite \textit{L. P. Falaleev}, Proc. Steklov Inst. Math. 180, 263--264 (1989; Zbl 0709.42525)
Trigub, R. M. On the comparison principle for Fourier expansions and existence subspaces in the integral metric. (English) Zbl 0709.42524 Proc. Steklov Inst. Math. 180, 259-261 (1989). MSC: 42A10 42A45 PDF BibTeX XML Cite \textit{R. M. Trigub}, Proc. Steklov Inst. Math. 180, 259--261 (1989; Zbl 0709.42524)
Talalyan, A. A. On uniqueness of multiple trigonometric series. (English) Zbl 0709.42523 Proc. Steklov Inst. Math. 180, 248-249 (1989). MSC: 42B05 PDF BibTeX XML Cite \textit{A. A. Talalyan}, Proc. Steklov Inst. Math. 180, 248--249 (1989; Zbl 0709.42523)
Stepanets, A. I. Approximation of periodic functions by Fourier sums. (English) Zbl 0709.42522 Proc. Steklov Inst. Math. 180, 239-241 (1989). MSC: 42A10 PDF BibTeX XML Cite \textit{A. I. Stepanets}, Proc. Steklov Inst. Math. 180, 239--241 (1989; Zbl 0709.42522)
Rybnikova, T. I. Absolute \((V,p(y)(C,1))\)-summability of a Fourier integral. (English) Zbl 0709.42521 Proc. Steklov Inst. Math. 180, 227-228 (1989). MSC: 42A20 42A38 PDF BibTeX XML Cite \textit{T. I. Rybnikova}, Proc. Steklov Inst. Math. 180, 227--228 (1989; Zbl 0709.42521)
Rukasov, V. I. Approximation of continuous periodic functions by linear means of their Fourier series. (English) Zbl 0709.42520 Proc. Steklov Inst. Math. 180, 221-222 (1989). MSC: 42A10 PDF BibTeX XML Cite \textit{V. I. Rukasov}, Proc. Steklov Inst. Math. 180, 221--222 (1989; Zbl 0709.42520)
Polovina, N. T. Absolute and strong \(p\)th-power summability of double fourier series by matrix methods. (English) Zbl 0709.42519 Proc. Steklov Inst. Math. 180, 211-212 (1989). MSC: 42B05 PDF BibTeX XML Cite \textit{N. T. Polovina}, Proc. Steklov Inst. Math. 180, 211--212 (1989; Zbl 0709.42519)
Pozdeev, B. S. Theorems of Szasz type on absolute convergence of multiple Fourier series of functions in a generalized Lebesgue space. (English) Zbl 0709.42518 Proc. Steklov Inst. Math. 180, 209-210 (1989). MSC: 42B05 PDF BibTeX XML Cite \textit{B. S. Pozdeev}, Proc. Steklov Inst. Math. 180, 209--210 (1989; Zbl 0709.42518)
Pachulia, N. L. On strong summability of Fourier series in systems of functions of polynomial type. (English) Zbl 0709.42517 Proc. Steklov Inst. Math. 180, 202-204 (1989). MSC: 42A24 42C15 PDF BibTeX XML Cite \textit{N. L. Pachulia}, Proc. Steklov Inst. Math. 180, 202--204 (1989; Zbl 0709.42517)
Nosenko, Yu. L. Sufficient conditions for integrability of double trigonometric cosine series. (English) Zbl 0709.42516 Proc. Steklov Inst. Math. 180, 195-196 (1989). MSC: 42B05 PDF BibTeX XML Cite \textit{Yu. L. Nosenko}, Proc. Steklov Inst. Math. 180, 195--196 (1989; Zbl 0709.42516)
liflyand, I. R. Sharp estimates of the Lebesgue constants of partial sums of multiple Fourier series. (English) Zbl 0709.42515 Proc. Steklov Inst. Math. 180, 176-177 (1989). MSC: 42B05 PDF BibTeX XML Cite \textit{I. R. liflyand}, Proc. Steklov Inst. Math. 180, 176--177 (1989; Zbl 0709.42515)
Lipovik, V. V. On estimates of strong approximation of functions by Fourier-Tchebycheff sums. (English) Zbl 0709.42514 Proc. Steklov Inst. Math. 180, 174-176 (1989). MSC: 42A10 26A15 PDF BibTeX XML Cite \textit{V. V. Lipovik}, Proc. Steklov Inst. Math. 180, 174--176 (1989; Zbl 0709.42514)
Kuznetsova, O. I. Integrability and strong summability of multiple trigonometric series. (English) Zbl 0709.42513 Proc. Steklov Inst. Math. 180, 167-168 (1989). MSC: 42B05 42A24 PDF BibTeX XML Cite \textit{O. I. Kuznetsova}, Proc. Steklov Inst. Math. 180, 167--168 (1989; Zbl 0709.42513)
Kotlyar, B. D. Fourier coefficients and densities of subsets of the series of natural numbers. (English) Zbl 0709.42512 Proc. Steklov Inst. Math. 180, 163-164 (1989). MSC: 42A55 42A16 42A20 PDF BibTeX XML Cite \textit{B. D. Kotlyar}, Proc. Steklov Inst. Math. 180, 163--164 (1989; Zbl 0709.42512)
Kashin, B. S. On trigonometric polynomials with coefficients \(+1,-1,0\). (English) Zbl 0709.42511 Proc. Steklov Inst. Math. 180, 152-154 (1989). MSC: 42A05 PDF BibTeX XML Cite \textit{B. S. Kashin}, Proc. Steklov Inst. Math. 180, 152--154 (1989; Zbl 0709.42511)
Kal’nej, S. G. On mean convergence of Fourier-Jacobi series with quasimonotone coefficients. (English) Zbl 0709.42510 Proc. Steklov Inst. Math. 180, 148-149 (1989). MSC: 42C10 PDF BibTeX XML Cite \textit{S. G. Kal'nej}, Proc. Steklov Inst. Math. 180, 148--149 (1989; Zbl 0709.42510)
Zaderej, P. V. Approximation of differentiable periodic functions of two variables by Fourier sums. (English) Zbl 0709.42509 Proc. Steklov Inst. Math. 180, 131-132 (1989). MSC: 42B05 42B99 PDF BibTeX XML Cite \textit{P. V. Zaderej}, Proc. Steklov Inst. Math. 180, 131--132 (1989; Zbl 0709.42509)
Gavrilyuk, V. T. On a characterization of functions in the class \(C_ 0^ \psi L_ \infty\). (English) Zbl 0709.42508 Proc. Steklov Inst. Math. 180, 98-99 (1989). MSC: 42A10 PDF BibTeX XML Cite \textit{V. T. Gavrilyuk}, Proc. Steklov Inst. Math. 180, 98--99 (1989; Zbl 0709.42508)
Bugrov, Ya. S. Linear methods of summing Fourier series and fractional difference operators. (English) Zbl 0709.42507 Proc. Steklov Inst. Math. 180, 71-73 (1989). MSC: 42A24 PDF BibTeX XML Cite \textit{Ya. S. Bugrov}, Proc. Steklov Inst. Math. 180, 71--73 (1989; Zbl 0709.42507)
Bojtsun, L. G.; Khalyuzova, A. I. On absolute summability of Fourier integrals with multipliers. (English) Zbl 0709.42506 Proc. Steklov Inst. Math. 180, 61-62 (1989). MSC: 42A20 42A38 PDF BibTeX XML Cite \textit{L. G. Bojtsun} and \textit{A. I. Khalyuzova}, Proc. Steklov Inst. Math. 180, 61--62 (1989; Zbl 0709.42506)
Bjtsun, L. G. On absulute summability of Fourier integrals with multipliers by the method of G. F. Voronoj. (English) Zbl 0709.42505 Proc. Steklov Inst. Math. 180, 60-61 (1989). MSC: 42A20 42A38 PDF BibTeX XML Cite \textit{L. G. Bjtsun}, Proc. Steklov Inst. Math. 180, 60--61 (1989; Zbl 0709.42505)
Belinskij, Eh. S. Approximation by a ”floating” system of exponentials on classes of periodic smooth functions. (English) Zbl 0709.42504 Proc. Steklov Inst. Math. 180, 51-53 (1989). MSC: 42B99 41A50 41A63 PDF BibTeX XML Cite \textit{Eh. S. Belinskij}, Proc. Steklov Inst. Math. 180, 51--53 (1989; Zbl 0709.42504)
Barykin, M. P.; Bugrov, Ya. S.; Uninskij, A. P On inequalities for trigonometric polynomials. (English) Zbl 0709.42503 Proc. Steklov Inst. Math. 180, 43-45 (1989). MSC: 42A05 PDF BibTeX XML Cite \textit{M. P. Barykin} et al., Proc. Steklov Inst. Math. 180, 43--45 (1989; Zbl 0709.42503)
Badkov, V. M. Uniform asymptotic representations of orthogonal polynomials and their derivatives. (English) Zbl 0709.42502 Proc. Steklov Inst. Math. 180, 39-41 (1989). MSC: 42C05 41A60 PDF BibTeX XML Cite \textit{V. M. Badkov}, Proc. Steklov Inst. Math. 180, 39--41 (1989; Zbl 0709.42502)
Shevchuk, I. A. Addendum to direct approximation theorems of S. M. Nikol’skij type on an interval, and inverse theorems. (English) Zbl 0709.41542 Proc. Steklov Inst. Math. 180, 273-274 (1989). MSC: 41A10 41A17 41A27 PDF BibTeX XML Cite \textit{I. A. Shevchuk}, Proc. Steklov Inst. Math. 180, 273--274 (1989; Zbl 0709.41542)
Khodak, L. B. On the approximation of nonperiodic functions by algebraic polynomials in a eighted integral metric. (English) Zbl 0709.41541 Proc. Steklov Inst. Math. 180, 268-269 (1989). MSC: 41A10 PDF BibTeX XML Cite \textit{L. B. Khodak}, Proc. Steklov Inst. Math. 180, 268--269 (1989; Zbl 0709.41541) Full Text: DOI
Filozof, L. I. Application of the \(A\)-method to the investigation of Pade approximants of elementary functions. (English) Zbl 0709.41540 Proc. Steklov Inst. Math. 180, 266-268 (1989). MSC: 41A21 PDF BibTeX XML Cite \textit{L. I. Filozof}, Proc. Steklov Inst. Math. 180, 266--268 (1989; Zbl 0709.41540)
Timan, A. F. On the distribution of the values of some sequences of algebraic polynomials. (English) Zbl 0709.41539 Proc. Steklov Inst. Math. 180, 255-256 (1989). MSC: 41A10 41A25 PDF BibTeX XML Cite \textit{A. F. Timan}, Proc. Steklov Inst. Math. 180, 255--256 (1989; Zbl 0709.41539)
Terekhin, A. P. Uniform approximation by algebraic polynomials of functions on the sphere of an odd-dimensional space. (English) Zbl 0709.41538 Proc. Steklov Inst. Math. 180, 254-255 (1989). MSC: 41A10 41A63 PDF BibTeX XML Cite \textit{A. P. Terekhin}, Proc. Steklov Inst. Math. 180, 254--255 (1989; Zbl 0709.41538)
Temlyakov, V. N. On estimates of the best bilinear approximations of periodic functions and singular numbers of integral operators. (English) Zbl 0709.41537 Proc. Steklov Inst. Math. 180, 252-253 (1989). MSC: 41A30 47Gxx 47A10 45P05 PDF BibTeX XML Cite \textit{V. N. Temlyakov}, Proc. Steklov Inst. Math. 180, 252--253 (1989; Zbl 0709.41537)
Subbotin, Yu. N. The error in multidimensional piecewise polynomial approximation. (English) Zbl 0709.41536 Proc. Steklov Inst. Math. 180, 246-248 (1989). MSC: 41A30 65N30 65G99 PDF BibTeX XML Cite \textit{Yu. N. Subbotin}, Proc. Steklov Inst. Math. 180, 246--248 (1989; Zbl 0709.41536)
Storchaj, V. F. Sharp norm estimates on some function classes. (English) Zbl 0709.41535 Proc. Steklov Inst. Math. 180, 245-246 (1989). MSC: 41A44 42A50 46E35 PDF BibTeX XML Cite \textit{V. F. Storchaj}, Proc. Steklov Inst. Math. 180, 245--246 (1989; Zbl 0709.41535)
Stolyarchuk, V. K. On the question of Pade approximation of some special functions. (English) Zbl 0709.41534 Proc. Steklov Inst. Math. 180, 214-243 (1989). MSC: 41A21 33C10 PDF BibTeX XML Cite \textit{V. K. Stolyarchuk}, Proc. Steklov Inst. Math. 180, 214--243 (1989; Zbl 0709.41534)
Simrnov, G. S. On a criterion for an element of best \((\alpha,\beta)\)-approximation in the space of summable functions. (English) Zbl 0709.41533 Proc. Steklov Inst. Math. 180, 238-239 (1989). MSC: 41A30 41A50 PDF BibTeX XML Cite \textit{G. S. Simrnov}, Proc. Steklov Inst. Math. 180, 238--239 (1989; Zbl 0709.41533)
Sedov, V. N. Approximation theorems for a class of functions. (English) Zbl 0709.41532 Proc. Steklov Inst. Math. 180, 235-236 (1989). MSC: 41A99 PDF BibTeX XML Cite \textit{V. N. Sedov}, Proc. Steklov Inst. Math. 180, 235--236 (1989; Zbl 0709.41532)
Rvachev, V. A. Atomic functions and approximation theory. (English) Zbl 0709.41531 Proc. Steklov Inst. Math. 180, 219-220 (1989). MSC: 41A30 PDF BibTeX XML Cite \textit{V. A. Rvachev}, Proc. Steklov Inst. Math. 180, 219--220 (1989; Zbl 0709.41531)
Rajtsin, R. A. On the best mean-square approximation, by polynomials and entire functions of exponential type, to functions with a logarithmic singular point. (English) Zbl 0709.41530 Proc. Steklov Inst. Math. 180, 218-219 (1989). MSC: 41A10 41A30 PDF BibTeX XML Cite \textit{R. A. Rajtsin}, Proc. Steklov Inst. Math. 180, 218--219 (1989; Zbl 0709.41530)
Potapov, M. K. On the approximation of functions by algebraic polynomials. (English) Zbl 0709.41529 Proc. Steklov Inst. Math. 180, 215-216 (1989). MSC: 41A10 PDF BibTeX XML Cite \textit{M. K. Potapov}, Proc. Steklov Inst. Math. 180, 215--216 (1989; Zbl 0709.41529)
Motornyj, V. P; Dunajchuk, E. E. On formulas for the approximate computation of integrals. (English) Zbl 0709.41528 Proc. Steklov Inst. Math. 180, 189-191 (1989). MSC: 41A55 65D32 PDF BibTeX XML Cite \textit{V. P Motornyj} and \textit{E. E. Dunajchuk}, Proc. Steklov Inst. Math. 180, 189--191 (1989; Zbl 0709.41528)
Majorov, V. E. On inequalities of Bernstein-Nikol’ski type. (English) Zbl 0709.41527 Proc. Steklov Inst. Math. 180, 181-182 (1989). MSC: 41A17 41A46 PDF BibTeX XML Cite \textit{V. E. Majorov}, Proc. Steklov Inst. Math. 180, 181--182 (1989; Zbl 0709.41527)
Magaril-Il’yaev, G. G. On the approximations of Sobolev classes of functions on \(R^ n\). (English) Zbl 0709.41526 Proc. Steklov Inst. Math. 180, 180-181 (1989). MSC: 41A50 46E35 PDF BibTeX XML Cite \textit{G. G. Magaril-Il'yaev}, Proc. Steklov Inst. Math. 180, 180--181 (1989; Zbl 0709.41526)
Lushpaj, N. E; Zajchenko, I. L. Extremal numerical integration formulas for classes of differentiable periodic functions. (English) Zbl 0709.41525 Proc. Steklov Inst. Math. 180, 178-180 (1989). MSC: 41A55 65D30 PDF BibTeX XML Cite \textit{N. E Lushpaj} and \textit{I. L. Zajchenko}, Proc. Steklov Inst. Math. 180, 178--180 (1989; Zbl 0709.41525)
Kushpel’, A. K. Sharp estimates of the widths of convolution classes in the space \(C_ 2\eta\). (English) Zbl 0709.41524 Proc. Steklov Inst. Math. 180, 173-174 (1989). MSC: 41A46 44A35 PDF BibTeX XML Cite \textit{A. K. Kushpel'}, Proc. Steklov Inst. Math. 180, 173--174 (1989; Zbl 0709.41524)
Kovtunets, V. V. Differential properties of an operator of best approximation of complex- valued functions. (English) Zbl 0709.41523 Proc. Steklov Inst. Math. 180, 158-159 (1989). MSC: 41A50 58C20 PDF BibTeX XML Cite \textit{V. V. Kovtunets}, Proc. Steklov Inst. Math. 180, 158--159 (1989; Zbl 0709.41523)
Ibragimov, I. I.; Mamedkhanov, Dzh. I. On inequalities of Nikol’skij type. (English) Zbl 0709.41522 Proc. Steklov Inst. Math. 180, 137-138 (1989). MSC: 41A17 PDF BibTeX XML Cite \textit{I. I. Ibragimov} and \textit{Dzh. I. Mamedkhanov}, Proc. Steklov Inst. Math. 180, 137--138 (1989; Zbl 0709.41522)
Doronin, V. G. On the choice of knots in approximation by splines in spaces with a weight. (English) Zbl 0709.41521 Proc. Steklov Inst. Math. 180, 123-124 (1989). MSC: 41A15 46E30 PDF BibTeX XML Cite \textit{V. G. Doronin}, Proc. Steklov Inst. Math. 180, 123--124 (1989; Zbl 0709.41521)
Dzhafarov, Ar. S. On best approximation of functions in the spaces \(B\) and \(H\). (English) Zbl 0709.41520 Proc. Steklov Inst. Math. 180, 115-118 (1989). MSC: 41A50 41A63 46E35 PDF BibTeX XML Cite \textit{Ar. S. Dzhafarov}, Proc. Steklov Inst. Math. 180, 115--118 (1989; Zbl 0709.41520)
Danilovich, V. P. Approximate solution of nonlinear integral equations with the help of local spline approximation. (English) Zbl 0709.41519 Proc. Steklov Inst. Math. 180, 113-115 (1989). MSC: 41A15 45G05 65R20 PDF BibTeX XML Cite \textit{V. P. Danilovich}, Proc. Steklov Inst. Math. 180, 113--115 (1989; Zbl 0709.41519)
Davidchik, A. N.; Ligun, A. A. Approximation of periodic functions by linear operators. (English) Zbl 0709.41518 Proc. Steklov Inst. Math. 180, 112-113 (1989). MSC: 41A36 PDF BibTeX XML Cite \textit{A. N. Davidchik} and \textit{A. A. Ligun}, Proc. Steklov Inst. Math. 180, 112--113 (1989; Zbl 0709.41518)
Gorbajchuk, V. I. An inverse theorem on approximation of functions by operators of extension to a canonical domain. (English) Zbl 0709.41517 Proc. Steklov Inst. Math. 180, 110-112 (1989). MSC: 41A27 41A35 PDF BibTeX XML Cite \textit{V. I. Gorbajchuk}, Proc. Steklov Inst. Math. 180, 110--112 (1989; Zbl 0709.41517)
Gogoladze, L. D. On the approximation of functions of several variables by linear means. (English) Zbl 0709.41516 Proc. Steklov Inst. Math. 180, 105-106 (1989). MSC: 41A35 41A63 PDF BibTeX XML Cite \textit{L. D. Gogoladze}, Proc. Steklov Inst. Math. 180, 105--106 (1989; Zbl 0709.41516)
Ganzburg, M. I. A direct and inverse theorem on approximation by polynomials on the \(m\)- dimensional ball. (English) Zbl 0709.41515 Proc. Steklov Inst. Math. 180, 103-105 (1989). MSC: 41A10 41A27 41A63 PDF BibTeX XML Cite \textit{M. I. Ganzburg}, Proc. Steklov Inst. Math. 180, 103--105 (1989; Zbl 0709.41515)
Volkov, Yu. I. On approximation in the mean by multidimensional positive linear operators. (English) Zbl 0709.41514 Proc. Steklov Inst. Math. 180, 96-98 (1989). MSC: 41A36 41A63 PDF BibTeX XML Cite \textit{Yu. I. Volkov}, Proc. Steklov Inst. Math. 180, 96--98 (1989; Zbl 0709.41514)
Velikin, V. L. Approximation in a Banach space by a convergent sequence of subspaces of fixed dimension. (English) Zbl 0709.41513 Proc. Steklov Inst. Math. 180, 92-94 (1989). MSC: 41A65 PDF BibTeX XML Cite \textit{V. L. Velikin}, Proc. Steklov Inst. Math. 180, 92--94 (1989; Zbl 0709.41513)
Vakarchuk, S. B. On approximation of functions of two variables by generalized polynomials. (English) Zbl 0709.41512 Proc. Steklov Inst. Math. 180, 87-89 (1989). MSC: 41A50 41A17 41A63 PDF BibTeX XML Cite \textit{S. B. Vakarchuk}, Proc. Steklov Inst. Math. 180, 87--89 (1989; Zbl 0709.41512)
Byzov, V. F.; Zavsegdashnij, V. A. Investigation of questions of approximation of convex surfaces by bilinear splines. (English) Zbl 0709.41511 Proc. Steklov Inst. Math. 180, 85-86 (1989). MSC: 41A15 53C45 PDF BibTeX XML Cite \textit{V. F. Byzov} and \textit{V. A. Zavsegdashnij}, Proc. Steklov Inst. Math. 180, 85--86 (1989; Zbl 0709.41511)
Busarova, T. N. A best quadrature formula with weight for a certain class of functions. (English) Zbl 0709.41510 Proc. Steklov Inst. Math. 180, 80-82 (1989). MSC: 41A55 PDF BibTeX XML Cite \textit{T. N. Busarova}, Proc. Steklov Inst. Math. 180, 80--82 (1989; Zbl 0709.41510)
Burenkov, V. I. Approximation by infinitely differentiable functions with preservation of boundary values. (English) Zbl 0709.41509 Proc. Steklov Inst. Math. 180, 76-79 (1989). MSC: 41A30 PDF BibTeX XML Cite \textit{V. I. Burenkov}, Proc. Steklov Inst. Math. 180, 76--79 (1989; Zbl 0709.41509)
Bulanov, A. P. Multiple powers and local approximations. (English) Zbl 0709.41508 Proc. Steklov Inst. Math. 180, 73-76 (1989). MSC: 41A30 30E10 PDF BibTeX XML Cite \textit{A. P. Bulanov}, Proc. Steklov Inst. Math. 180, 73--76 (1989; Zbl 0709.41508)