Suchergebnisse - Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)

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  1. 1

    Statistical Convergence for Grünwald–Letnikov Fractional Differences: Stability, Approximation, and Diagnostics in Fuzzy Normed Spaces von Öğünmez, Hasan, Türkmen, Muhammed Recai

    ISSN: 2075-1680, 2075-1680
    Veröffentlicht: Basel MDPI AG 25.09.2025
    Veröffentlicht in Axioms (25.09.2025)
    “… –Samanta fuzzy normed linear spaces, addressing memory effects and nonlocality inherent to fractional-order models …”
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    Journal Article
  2. 2

    Generalisation of the Frobenius Formula in the Theory of Block Operators on Normed Spaces von Sidorov, Nikolai A., Dreglea, Aliona I., Sidorov, Denis N.

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 01.12.2021
    Veröffentlicht in Mathematics (Basel) (01.12.2021)
    “… In this paper, we prove a generalisation of the Frobenius formula in the setting of the theory of block operators on normed spaces …”
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  3. 3

    Results on Approximation Properties in Intuitionistic Fuzzy Normed Linear Spaces von Debnath, Pradip, Konwar, Nabanita

    ISSN: 2067-2764, 2247-6202
    Veröffentlicht: Arad "Aurel Vlaicu" University of Arad Department of Mathematics and Computer Science 01.10.2016
    “… ) in the setting of intuitionistic fuzzy normed linear spaces (IFNLSs). Further, we define strong intuitionistic fuzzy continuous and strong intuitionistic fuzzy bounded …”
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  4. 4

    Smooth Analysis in Banach Spaces von Hájek, Petr, Johanis, Michal

    ISBN: 3110258994, 9783110258998, 9783110258981, 3110258986, 9783110391992, 3110391996
    Veröffentlicht: Germany De Gruyter 2014
    “… The book revolves around two main broad questions: What is the best smoothness of a given Banach space, and its structural consequences …”
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    E-Book Buch
  5. 5

    Generalized Contraction and Invariant Approximation Results on Nonconvex Subsets of Normed Spaces von Abbas, Mujahid, Romaguera, Salvador, Ali, Basit

    ISSN: 1085-3375, 1687-0409
    Veröffentlicht: Cairo, Egypt Hindawi Limiteds 01.01.2014
    Veröffentlicht in Abstract and Applied Analysis (01.01.2014)
    “… Some theorems on invariant approximations in normed linear spaces are also deduced. Our results extend, unify, and generalize comparable results in the literature …”
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  6. 6

    A Class of Generalized best Approximation Problems in a Fuzzy Normed Linear Space von Samanta, H K

    ISSN: 2229-6107, 2229-6107
    Veröffentlicht: Kokrajhar International Journal of Pure and Applied Sciences and Technology 01.04.2014
    “… In this paper, a class of generalised best approximation problems is formulated in a fuzzy normed linear space …”
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  7. 7

    The Best Rank-One Approximation Ratio of a Tensor Space von Qi, Liqun

    ISSN: 0895-4798, 1095-7162
    Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 01.04.2011
    Veröffentlicht in SIAM journal on matrix analysis and applications (01.04.2011)
    “… In this paper we define the best rank-one approximation ratio of a tensor space. It turns out that in the finite dimensional case this provides an upper bound …”
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  8. 8

    Normed spaces equivalent to inner product spaces and stability of functional equations von Chmieliski, Jacek

    ISSN: 0001-9054, 1420-8903
    Veröffentlicht: Basel Springer Basel 01.03.2014
    Veröffentlicht in Aequationes mathematicae (01.03.2014)
    “… Let be a normed space. If is an equivalent norm coming from an inner product, then the original norm satisfies an approximate parallelogram law …”
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  9. 9

    Note on nonstability of the linear functional equation of higher order von Brzdȩk, Janusz, Popa, Dorian, Xu, Bing

    ISSN: 0898-1221, 1873-7668
    Veröffentlicht: Elsevier Ltd 01.09.2011
    Veröffentlicht in Computers & mathematics with applications (1987) (01.09.2011)
    “… We provide a complete solution of the problem of Hyers–Ulam stability for a large class of higher order linear functional equations in single variable, with constant coefficients …”
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  10. 10

    On the interpolation in linear normed spaces using multiple nodes von Adrian Diaconu

    ISSN: 2457-6794, 2501-059X
    Veröffentlicht: Publishing House of the Romanian Academy 01.12.2015
    “… \) are linear spaces with special structures. This extension o¤ers the possibility to establish …”
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  11. 11

    On the interpolation in linear normed spaces using multiple nodes von Adrian Diaconu

    ISSN: 2457-6794, 2501-059X
    Veröffentlicht: Publishing House of the Romanian Academy 18.12.2015
    “… \) are linear spaces with special structures. This extension o¤ers the possibility to establish …”
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  12. 12

    The Fuzzy Width Theory in the Finite-Dimensional Space and Sobolev Space von Xu, Yanyan, Sun, Lu, Li, Hao, Chen, Guanggui

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 01.05.2023
    Veröffentlicht in Mathematics (Basel) (01.05.2023)
    “… This paper aims to fuzzify the width problem of classical approximation theory. New concepts of fuzzy Kolmogorov n-width and fuzzy linear n-width are introduced on the basis of α …”
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  13. 13

    Linear approximation of approximately linear functions von Vestfrid, Igor A.

    ISSN: 0001-9054, 1420-8903
    Veröffentlicht: Basel Springer Nature B.V 01.08.2003
    Veröffentlicht in Aequationes mathematicae (01.08.2003)
    “… Ulam posed the problem: "Give conditions in order for a linear mapping near an approximately linear mapping to exist …”
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  14. 14

    Difference equations in normed spaces : stability and oscillations von Gil, Michael

    ISBN: 9780444527134, 0444527133
    Veröffentlicht: Amsterdam ; Boston Elsevier 2007
    “… This book is devoted to linear and nonlinear difference equations in a normed space. The main methodology presented in this book is based on a combined use of recent …”
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    E-Book Buch
  15. 15

    On alternating functions in subspaces of von Shekhtman, Boris, Skrzypek, Lesław

    ISSN: 2730-5716, 2730-5724
    Veröffentlicht: Cham Springer International Publishing 01.12.2025
    “… In this short paper we improve on the result from (Singer, Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces, 1970) (Lemma 6.1 …”
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  16. 16

    RECTIFIABLE AND FLAT G CHAINS IN A METRIC SPACE von De Pauw, Thierry, Hardt, Robert

    ISSN: 0002-9327, 1080-6377, 1080-6377
    Veröffentlicht: Baltimore Johns Hopkins University Press 01.02.2012
    Veröffentlicht in American journal of mathematics (01.02.2012)
    “… Chains, in a complete metric space, which have coefficients in a normed abelian group G are studied …”
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  17. 17

    Fuzzy Stability of Quadratic-cubic Functional Equations von Wang, Zhi Hua, Zhang, Wan Xiong

    ISSN: 1439-8516, 1439-7617
    Veröffentlicht: Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.11.2011
    Veröffentlicht in Acta mathematica Sinica. English series (01.11.2011)
    “… ) in fuzzy Banach spaces. We can find the range of approximate solutions obtained using the direct method are less than those obtained by using the fixed point …”
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  18. 18

    Remarks on interpolation in certain linear spaces (IV) von Adrian Diaconu

    ISSN: 2457-6794, 2501-059X
    Veröffentlicht: Publishing House of the Romanian Academy 01.08.2007
    “… In the papers [5], [6], [7] we shall study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces …”
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  19. 19

    Remarks on interpolation in certain linear spaces (IV) von Adrian Diaconu

    ISSN: 2457-6794, 2501-059X
    Veröffentlicht: Publishing House of the Romanian Academy 01.08.2007
    “… In the papers [5], [6], [7] we shall study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces …”
    Volltext
    Journal Article
  20. 20

    Remarks on interpolation in certain linear spaces (III) von Adrian Diaconu

    ISSN: 2457-6794, 2501-059X
    Veröffentlicht: Publishing House of the Romanian Academy 01.02.2006
    “… In this paper we study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces …”
    Volltext
    Journal Article