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

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

“…–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 by Sidorov, Nikolai A., Dreglea, Aliona I., Sidorov, Denis N.

“… 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 by Debnath, Pradip, Konwar, Nabanita

“…) 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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Generalized Contraction and Invariant Approximation Results on Nonconvex Subsets of Normed Spaces by Abbas, Mujahid, Romaguera, Salvador, Ali, Basit

“… 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 by Samanta, H K

“…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 by Qi, Liqun

“…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 by Chmieliski, Jacek

“…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 by Brzdȩk, Janusz, Popa, Dorian, Xu, Bing

“…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 by Adrian Diaconu

“…\) 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 by Adrian Diaconu

“…\) 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 by Xu, Yanyan, Sun, Lu, Li, Hao, Chen, Guanggui

“…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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Smooth Analysis in Banach Spaces by Hájek, Petr, Johanis, Michal

“… 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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Linear approximation of approximately linear functions by Vestfrid, Igor A.

“…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 by Gil, Michael

“… 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 by Shekhtman, Boris, Skrzypek, Lesław

“…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 by De Pauw, Thierry, Hardt, Robert

“…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 by Wang, Zhi Hua, Zhang, Wan Xiong

“…） 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) by Adrian Diaconu

“…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) by Adrian Diaconu

“…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) by Adrian Diaconu

“…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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