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Found 361 Documents (Results 1–100)

A theorem on algebra-valued pseudo polar-derivatives. (English) Zbl 0858.12001

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 631-638 (1993).
MSC:  12E10 30C10
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Linear stationary second-degree methods for the solution of large linear systems. (English) Zbl 0855.65019

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 609-629 (1993).
MSC:  65F10
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Orthogonal polynomials of many variables and degenerated elliptic equations. (English) Zbl 0863.33009

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 595-607 (1993).
Reviewer: G.Jank (Aachen)
MSC:  33C50 35Q05 35J05
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Mean number of real zeros of a random trigonometric polynomial. II. (English) Zbl 0857.60047

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 581-594 (1993).
MSC:  60G99 42A05
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On some applications of polynomials in the theory of integral transforms. (English) Zbl 0855.44006

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 573-580 (1993).
MSC:  44A45 34A25
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A class of weight functions that admit Chebyshev quadrature. (English) Zbl 0856.41026

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 563-571 (1993).
MSC:  41A55
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A certain family of generating functions for classical orthogonal polynomials. (English) Zbl 0856.33009

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 535-561 (1993).
MSC:  33C45
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Matching polynomials and holographic neural networks. (English) Zbl 0856.68125

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 513-534 (1993).
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The work of Chebyshev on orthogonal polynomials. (English) Zbl 0858.01016

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 495-512 (1993).
MSC:  01A55 33-03
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Artificial intelligence today. (English) Zbl 0858.68069

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 483-493 (1993).
MSC:  68T01
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Some recent advances in the theory of the zeros and critical points of a polynomial. (English) Zbl 0857.30005

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 463-481 (1993).
MSC:  30C15 26C10
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An application of the Chebyshev integral inequality. (English) Zbl 0866.26011

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 457-461 (1993).
MSC:  26D15
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Extremal problems for polynomials and their coefficients. (English) Zbl 0857.26004

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 435-455 (1993).
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On some Turán’s extremal problems for algebraic polynomials. (English) Zbl 0857.26003

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 403-433 (1993).
MSC:  26C05 30C10 41A17
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Some bilinear formulas and integral equations for Chebyshev polynomials. (English) Zbl 0855.45001

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 397-402 (1993).
MSC:  45C05 33C45
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Theory and applications of Dickson polynomials. (English) Zbl 0857.11006

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 371-395 (1993).
MSC:  11B83 11T06
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Orthogonal polynomials and ordinary differential equations. (English) Zbl 0859.33008

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 347-369 (1993).
MSC:  33C45 34B30 34B10
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On the rational Chebyshev approximants to a real-valued function with unbounded number of the poles. (English) Zbl 0856.41011

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 335-346 (1993).
MSC:  41A20
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Rational approximations: A tau method approach. (English) Zbl 0856.41012

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 323-333 (1993).
MSC:  41A20
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Orthogonal polynomials on \(n\)-spheres: Gegenbauer, Jacobi and Heun. (English) Zbl 0867.33005

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 299-322 (1993).
MSC:  33C55 42C05 42-06
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Interpolatory properties of Chebyshev polynomials. (English) Zbl 0855.41005

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 287-298 (1993).
MSC:  41A05
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Some remarks for the methods to find all the zeros of a polynomial simultaneously. (English) Zbl 0855.65051

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 273-285 (1993).
MSC:  65H05 12Y05 26C10 30C15
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A new method for generating infinite sets of related sequences of orthogonal polynomials, starting from first-order initial-value problems. (English) Zbl 0870.42007

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 247-271 (1993).
MSC:  42C05 33C45
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Miscellaneous problems solved in terms of Chebyshev’s orthogonal polynomials of the first and the second kind. (English) Zbl 0867.33001

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 209-246 (1993).
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Inequalities for polynomials and trigonometric polynomials related to the Bernstein inequality. (English) Zbl 0857.41010

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 197-207 (1993).
MSC:  41A17 42A05
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On the completeness of orthogonal polynomials in left-definite Sobolev spaces. (English) Zbl 0856.33007

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 173-196 (1993).
MSC:  33C45 46E35
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Trigonometric symmetries: Four-dimensional identities of modified Chebyshev polynomials. (English) Zbl 0868.41006

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 151-171 (1993).
MSC:  41A10 41A30 33C55
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The convexity of Chebyshev sets in Hilbert space. (English) Zbl 0859.41027

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 143-150 (1993).
MSC:  41A65 41-02 46C05
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On Lagrange polynomial quasi-interpolation. (English) Zbl 0857.41004

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 125-141 (1993).
MSC:  41A05 41A10
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A set of research problems in approximation theory. (English) Zbl 0856.41001

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 109-123 (1993).
MSC:  41-02 00A07 41A63
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Application of Chebyshev polynomials to antenna design. (English) Zbl 0855.65003

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 101-108 (1993).
MSC:  65D15 78A50
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On Markov and Sobolev type inequalities on sets in \(\mathbb{R}^ n\). (English) Zbl 0865.46018

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 81-100 (1993).
MSC:  46E35 41A17 26D15
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Rate of convergence of linear mean subsequences of Fourier sums. (English) Zbl 0854.42004

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 65-79 (1993).
MSC:  42A24 42C10
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Some inequalities for polynomials. (English) Zbl 0856.30002

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 57-64 (1993).
MSC:  30A10 26D05
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Discontinuous alternation from a singularity. (English) Zbl 0860.41025

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 43-56 (1993).
MSC:  41A50
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Some results on compositions of algebra-valued abstract polynomials. (English) Zbl 0855.30005

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 35-42 (1993).
MSC:  30C15
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Characterizations for the existence of a solution to the moment problem on a finite number of intervals. (English) Zbl 0855.44007

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 9-33 (1993).
MSC:  44A60
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On the characterization of Chebyshev systems and on conditions of their extension. (English) Zbl 0868.41018

Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 1-7 (1993).
MSC:  41A50
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Numerical calculation of time-averaged sound fields based on the Bubnov-Chebyshev pseudospectral method. (English. Russian original) Zbl 0858.76061

St. Petersbg. Univ. Mech. Bull. 1993, No. 3, 44-53 (1993); translation from Vestn. St-Peterbg. Univ., Ser. I., Mat. Mekh. Astron. 1993, No. 3, 81-88 (1993).
MSC:  76M25 76Q05 65M70
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On equivalence of different moduli of smoothness on the sphere. (English. Russian original) Zbl 0866.41022

Proc. Steklov Inst. Math. 204, 235-260 (1994); translation from Tr. Mat. Inst. Steklova 204, 274-304 (1993).
MSC:  41A50 42A10
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Nikol’skij-Besov spaces on the sphere in connection with approximation theory. (English. Russian original) Zbl 0849.46025

Proc. Steklov Inst. Math. 204, 149-172 (1994); translation from Tr. Mat. Inst. Steklova 204, 172-200 (1993).
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Chebyshev line approximation: A sensitivity analysis. (English) Zbl 0839.90115

Guddat, Jürgen (ed.) et al., Parametric optimization and related topics. III. Proceedings of the 3rd conference held in Güstrow, Germany, August 30 - September 5, 1991. Frankfurt am Main: Peter Lang Verlag. Approximation Optimization. 3, 303-322 (1993).
MSC:  90C31 49K40
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Helly extensions and best approximation. (English) Zbl 0843.41019

Guddat, Jürgen (ed.) et al., Parametric optimization and related topics. III. Proceedings of the 3rd conference held in Güstrow, Germany, August 30 - September 5, 1991. Frankfurt am Main: Peter Lang Verlag. Approximation Optimization. 3, 107-120 (1993).
MSC:  41A50
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An extension of the Chebyshev theory. (English) Zbl 0922.41020

Guddat, Jürgen (ed.) et al., Parametric optimization and related topics. III. Proceedings of the 3rd conference held in Güstrow, Germany, August 30 - September 5, 1991. Frankfurt am Main: Peter Lang Verlag. Approximation Optimization. 3, 35-77 (1993).
MSC:  41A65
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On the polynomial of the best non-symmetric approximation in the Orlicz space. (English. Russian original) Zbl 0845.46015

Russ. Math. 37, No. 11, 48-54 (1993); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 11, 50-56 (1993).
MSC:  46E30 41A30 41A50
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Instrumental methods of approximating functions of random arguments and of determining their moments using spectrum analyzers. (English. Russian original) Zbl 0844.93010

J. Comput. Syst. Sci. Int. 33, No. 2, 65-68 (1995); translation from Izv. Ross. Akad. Nauk, Tekh. Kibern. 1993, No. 3, 143-146 (1993).
Reviewer: V.Kankova (Praha)
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An explicit solution of a filter problem by elliptic functions. (English. Russian original) Zbl 0838.41013

Vestn. St. Petersbg. Univ., Math. 26, No. 1, 32-35 (1993); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 1, 34-37 (1993).
MSC:  41A20 41A50 41A29
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Parametric optimization and related topics. III. Proceedings of the 3rd conference held in Güstrow, Germany, August 30 - September 5, 1991. (English) Zbl 0822.00017

Approximation and Optimization. 3. Frankfurt am Main: Peter Lang Verlag. 568 p. (1993).
MSC:  00B25 90-06 49-06
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Sign-sensitive approximations. Uniqueness and stability questions. (English. Russian original) Zbl 0827.41018

Russ. Acad. Sci., Dokl., Math. 48, No. 3, 415-419 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 1, 5-7 (1993).
MSC:  41A50 41A10 41A52
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On approximation of functions on the sphere. (English. Russian original) Zbl 0821.41016

Russ. Acad. Sci., Izv., Math. 43, No. 2, 311-329 (1994); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 5, 127-148 (1993).
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Theorem on the mean value of \(\psi(x,\chi)\), and its applications. (English. Russian original) Zbl 0818.11031

Russ. Acad. Sci., Izv., Math. 43, No. 1, 49-64 (1994); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 4, 55-71 (1993).
Reviewer: A.Ivić (Beograd)
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Full Text: DOI

Numerical methods in problems of best approximation by splines and nonlinear spectrum analysis. (English. Russian original) Zbl 0817.65007

Comput. Math. Math. Phys. 33, No. 10, 1287-1297 (1993); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 10, 1455-1467 (1993).
MSC:  65D07 41A15 41A50
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Sign-sensitive approximations. The space of sign-sensitive weights. The rigidity and the freedom of a system. (English. Russian original) Zbl 0818.41028

Russ. Acad. Sci., Dokl., Math. 48, No. 2, 397-401 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 332, No. 6, 686-689 (1993).
Reviewer: E.Deeba (Houston)
MSC:  41A65 41A50 41A10
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A Chebyshev collocation method for the wave equation in generalized coordinates. (English) Zbl 0814.65101

Kleinman, Ralph (ed.) et al., Mathematical and numerical aspects of wave propagation. Proceedings of the 2nd international conference held in Newark, DE, USA, June 7-10, 1993. Philadelphia, PA: SIAM. 128-137 (1993).
MSC:  65M70 35L05 74Hxx
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Mathematical and numerical aspects of wave propagation. Proceedings of the 2nd international conference held in Newark, DE, USA, June 7-10, 1993. (English) Zbl 0809.00018

Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xi, 473 p. (1993).
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