Suchergebnisse - Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
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Statistical Convergence for Grünwald–Letnikov Fractional Differences: Stability, Approximation, and Diagnostics in Fuzzy Normed Spaces
ISSN: 2075-1680, 2075-1680Veröffentlicht: Basel MDPI AG 25.09.2025Veröffentlicht in Axioms (25.09.2025)“… –Samanta fuzzy normed linear spaces, addressing memory effects and nonlocality inherent to fractional-order models …”
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Generalisation of the Frobenius Formula in the Theory of Block Operators on Normed Spaces
ISSN: 2227-7390, 2227-7390Veröffentlicht: Basel MDPI AG 01.12.2021Veröffentlicht 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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Results on Approximation Properties in Intuitionistic Fuzzy Normed Linear Spaces
ISSN: 2067-2764, 2247-6202Veröffentlicht: Arad "Aurel Vlaicu" University of Arad Department of Mathematics and Computer Science 01.10.2016Veröffentlicht in Theory and applications of mathematics & 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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Smooth Analysis in Banach Spaces
ISBN: 3110258994, 9783110258998, 9783110258981, 3110258986, 9783110391992, 3110391996Veröffentlicht: 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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Generalized Contraction and Invariant Approximation Results on Nonconvex Subsets of Normed Spaces
ISSN: 1085-3375, 1687-0409Veröffentlicht: Cairo, Egypt Hindawi Limiteds 01.01.2014Veröffentlicht 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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A Class of Generalized best Approximation Problems in a Fuzzy Normed Linear Space
ISSN: 2229-6107, 2229-6107Veröffentlicht: Kokrajhar International Journal of Pure and Applied Sciences and Technology 01.04.2014Veröffentlicht in 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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The Best Rank-One Approximation Ratio of a Tensor Space
ISSN: 0895-4798, 1095-7162Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 01.04.2011Veröffentlicht 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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Normed spaces equivalent to inner product spaces and stability of functional equations
ISSN: 0001-9054, 1420-8903Veröffentlicht: Basel Springer Basel 01.03.2014Veröffentlicht 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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Note on nonstability of the linear functional equation of higher order
ISSN: 0898-1221, 1873-7668Veröffentlicht: Elsevier Ltd 01.09.2011Veröffentlicht 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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On the interpolation in linear normed spaces using multiple nodes
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 01.12.2015Veröffentlicht in Journal of numerical analysis and approximation theory (01.12.2015)“… \) are linear spaces with special structures. This extension o¤ers the possibility to establish …”
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On the interpolation in linear normed spaces using multiple nodes
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 18.12.2015Veröffentlicht in Journal of numerical analysis and approximation theory (18.12.2015)“… \) are linear spaces with special structures. This extension o¤ers the possibility to establish …”
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The Fuzzy Width Theory in the Finite-Dimensional Space and Sobolev Space
ISSN: 2227-7390, 2227-7390Veröffentlicht: Basel MDPI AG 01.05.2023Veröffentlicht 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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Linear approximation of approximately linear functions
ISSN: 0001-9054, 1420-8903Veröffentlicht: Basel Springer Nature B.V 01.08.2003Veröffentlicht 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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Difference equations in normed spaces : stability and oscillations
ISBN: 9780444527134, 0444527133Veröffentlicht: 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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On alternating functions in subspaces of
ISSN: 2730-5716, 2730-5724Veröffentlicht: Cham Springer International Publishing 01.12.2025Veröffentlicht in Sampling theory, signal processing, and data analysis (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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RECTIFIABLE AND FLAT G CHAINS IN A METRIC SPACE
ISSN: 0002-9327, 1080-6377, 1080-6377Veröffentlicht: Baltimore Johns Hopkins University Press 01.02.2012Veröffentlicht 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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Fuzzy Stability of Quadratic-cubic Functional Equations
ISSN: 1439-8516, 1439-7617Veröffentlicht: Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.11.2011Veröffentlicht 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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Remarks on interpolation in certain linear spaces (IV)
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 01.08.2007Veröffentlicht in Journal of numerical analysis and approximation theory (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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Remarks on interpolation in certain linear spaces (IV)
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 01.08.2007Veröffentlicht in Journal of numerical analysis and approximation theory (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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Remarks on interpolation in certain linear spaces (III)
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 01.02.2006Veröffentlicht in Journal of numerical analysis and approximation theory (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 …”
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