Suchergebnisse - Inverse theorems in approximation theory

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    Direct and inverse theorems in approximation theory for periodic functions in S.B. Stechkin’s papers and the development of these theorems von Ivanov, V. I.

    ISSN: 0081-5438, 1531-8605
    Veröffentlicht: Dordrecht SP MAIK Nauka/Interperiodica 01.07.2011
    Veröffentlicht in Proceedings of the Steklov Institute of Mathematics (01.07.2011)
    “… S.B. Stechkin made a considerable contribution to the important aspect of approximation theory for periodic functions concerned with direct and inverse theorems …”
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    Inverse Theorems on the Approximation of Periodic Functions with High Generalized Smoothness von Runovskii, K. V., Laktionova, N. V.

    ISSN: 0001-4346, 1067-9073, 1573-8876
    Veröffentlicht: Moscow Pleiades Publishing 01.02.2022
    Veröffentlicht in Mathematical Notes (01.02.2022)
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    Bernstein-Type Estimates for Periodic Functions of Several Variables with Generalized Smoothness von Laktionova, N. V., Runovskii, K. V., Shpyrko, O. A.

    ISSN: 0001-4346, 1067-9073, 1573-8876
    Veröffentlicht: Moscow Pleiades Publishing 01.04.2025
    Veröffentlicht in Mathematical Notes (01.04.2025)
    “… The generalized -derivative in the space of -periodic functions of variables integrable to the th power for and continuous for , which are respectively …”
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    Some Theorems of Approximation Theory in Weighted Smirnov Classes with Variable Exponent von Testici, Ahmet

    ISSN: 1617-9447, 2195-3724
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2020
    Veröffentlicht in Computational methods and function theory (01.03.2020)
    “… Moreover, direct and inverse theorems of approximation theory in weighted Smirnov classes with variable exponent are proved and some results related to constructive characterization in generalized …”
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    Direct and inverse approximation theorems for the p-version of the finite element method in the framework of weighted Besov spaces, part III: Inverse approximation theorems von Guo, Benqi, Babuška, Ivo

    ISSN: 0021-9045, 1096-0430
    Veröffentlicht: Elsevier Inc 01.09.2013
    Veröffentlicht in Journal of approximation theory (01.09.2013)
    “… This is the third of a series devoted to the direct and inverse approximation theorems of the p-version of the finite element method in the framework of the Jacobi-weighted Besov and Sobolev spaces …”
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    Direct and inverse theorems of approximation theory for a generalized modulus of smoothness von Potapov, M. K., Berisha, F. M., Потапов, М. К., Берища, Ф. М.

    ISSN: 0133-3852, 1588-273X
    Veröffentlicht: Heidelberg Springer Nature B.V 1999
    Veröffentlicht in Analysis mathematica (Budapest) (1999)
    “… direct and inverse theorems of approximation theory for it.В данной работе вводится несимметричный оператор обобшенного свига, с его помошью определяется обобшенный …”
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    Lp Bernstein inequalities and inverse theorems for RBF approximation on Rd von Ward, John Paul

    ISSN: 0021-9045, 1096-0430
    Veröffentlicht: Elsevier Inc 01.12.2012
    Veröffentlicht in Journal of approximation theory (01.12.2012)
    “… Bernstein inequalities and inverse theorems are a recent development in the theory of radial basis function (RBF) approximation …”
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    Inverse Theorem on Row Sequences of Linear Padé-orthogonal Approximation von Bosuwan, N., López Lagomasino, G.

    ISSN: 1617-9447, 2195-3724
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2015
    Veröffentlicht in Computational methods and function theory (01.12.2015)
    “… Thereby, we obtain an analog of Gonchar’s theorem on row sequences of Padé approximants …”
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    Direct and inverse theorems of approximation theory for a generalised modulus of smoothness von Potapov, Mikhail K, Berisha, Faton M

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 30.08.2012
    Veröffentlicht in arXiv.org (30.08.2012)
    “… direct and inverse theorems of approximation theory for it …”
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    Inequalities and Inverse Theorems in Restricted Rational Approximation Theory von Borwein, Peter

    ISSN: 0008-414X, 1496-4279
    Veröffentlicht: Cambridge, UK Cambridge University Press 01.04.1980
    Veröffentlicht in Canadian journal of mathematics (01.04.1980)
    “… The following lemma, part a) due to S. N. Bernstein and part b) due to A. A. Markov, is fundamental to the proofs of many inverse theorems in polynomial approximation theory. LEMMA 1. [2, p. 62 and p. 67] Let …”
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    On the Constants in Inverse Theorems for the First-Order Derivative von Vinogradov, O. L.

    ISSN: 1063-4541, 1934-7855
    Veröffentlicht: Moscow Pleiades Publishing 01.10.2021
    Veröffentlicht in Vestnik, St. Petersburg University. Mathematics (01.10.2021)
    “… The known proofs of the inverse theorems in the theory of approximation by trigonometric polynomials and entire functions of exponential type are based on S.N …”
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    Approximation by polynomials and rational functions in weighted rearrangement invariant spaces von Israfilov, Daniyal M., Akgün, Ramazan

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: San Diego, CA Elsevier Inc 15.10.2008
    Veröffentlicht in Journal of mathematical analysis and applications (15.10.2008)
    “… Let Γ be a Dini-smooth curve in the complex plane, and let G : = Int Γ . We prove some direct and inverse theorems of approximation theory by algebraic …”
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    Direct and inverse results in variable Hilbert scales von Mathé, Peter, Hofmann, Bernd

    ISSN: 0021-9045, 1096-0430
    Veröffentlicht: Elsevier Inc 01.10.2008
    Veröffentlicht in Journal of approximation theory (01.10.2008)
    “… The authors review and establish direct theorems and also provide inverse theorems, as such are common in approximation theory …”
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    Approximation by Entire Functions on a Countable Set of Continua. The Inverse Theorem von Silvanovich, O. V., Shirokov, N. A.

    ISSN: 1063-4541, 1934-7855
    Veröffentlicht: Moscow Pleiades Publishing 01.10.2021
    Veröffentlicht in Vestnik, St. Petersburg University. Mathematics (01.10.2021)
    “… are called inverse approximation theorems. It is usually said that some class of generally smooth functions is constructively described in terms of the approximation by polynomials …”
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    Geometric series of positive linear operators and the inverse Voronovskaya theorem on a compact interval von Abel, Ulrich, Ivan, Mircea, Păltănea, Radu

    ISSN: 0021-9045, 1096-0430
    Veröffentlicht: Elsevier Inc 01.08.2014
    Veröffentlicht in Journal of approximation theory (01.08.2014)
    “… We obtain an inverse Voronovskaya theorem and we apply our results to the Bernstein operators and a class of Bernstein …”
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    Direct and inverse theorems in the theory of approximation by the Ritz method von Torba, S M, Gorbachuk, M L, Grushka, Ya I

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 26.09.2007
    Veröffentlicht in arXiv.org (26.09.2007)
    “… For an arbitrary self-adjoint operator \(B\) in a Hilbert space \(H\), we present direct and inverse theorems establishing the relationship between the degree of smoothness of a vector \(x \in H …”
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