Results 51 to 60 of about 1,445 (159)
A Discrete Korovkin Theorem and BKW-Operators
Journal of Approximation Theory, 1996 Using the idea of Stone-Cech compactification, the paper gives a new simple proof for a discrete Korovkin theorem, independingly considered by \textit{G. A. Anastassiou} [J. Approximation Theory 61, No. 3, 384-386 (1990; Zbl 0722.41025)] and \textit{R. Sato} [J. Approximation Theory 64, No. 2, 235-237 (1991; Zbl 0722.41026)]. Moreover, a generalization
Sato, Ryotaro, Takahasi, Sin-Ei
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On Various Modes of Convergence and Notions of Exhaustiveness With Korovkin‐Type Theorems
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduce refined notions related to convergence and exhaustiveness for sequences of functions defined between metric spaces. These include rigid uniform alpha convergence as a strengthened variant of alpha convergence, along with uniform sequential exhaustiveness, rigid uniform exhaustiveness, Cauchy exhaustiveness, and rigid Cauchy ...
Alper Erdem, Tuncay Tunç, Smritijit Sen
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Korovkin-type theorem and application
Journal of Approximation Theory, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation properties of a new family of Gamma operators and their applications
Advances in Difference Equations, 2021 The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators ...
Reyhan Özçelik +3 more
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Weighted $\beta\gamma$-summability of fuzzy functions of order $\theta$
, 2016 The concept of weighted $\beta\gamma$ - summability of order $\theta$ in case of fuzzy functions is introduced and classified into ordinary and absolute sense. Several inclusion relations among the sets are investigated.
Ojha, Sarita, Srivastava, P. D.
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Approximation by ψ‐Baskakov‐Kantorovich Operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13552-13562, 30 September 2025.ABSTRACT In this paper, we introduce a new family of Baskakov‐Kantorovich operators that depend on a function ψ$$ \psi $$. We compare these new ψ$$ \psi $$‐Baskakov‐Kantorovich operators with the classical Baskakov‐Kantorovich operators to evaluate their approximation results.
Hüseyin Aktuğlu +2 more
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, 2014 This note is devoted to preconditioning strategies for non-Hermitian multilevel block Toeplitz linear systems associated with a multivariate Lebesgue integrable matrix-valued symbol.
Donatelli, Marco +4 more
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A Korovkin Type Theorem on Weak Convergence [PDF]
Proceedings of the American Mathematical Society, 1976 A weak convergence theorem is proved for a sequence of positive contractions on L 1 ( 0 , 1 ) {L_1}(0,1) .
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Some theorems of Korovkin type [PDF]
Studia Mathematica, 2003 Summary: We take another approach to the well known theorem of Korovkin, in the following situation: \(X\),~\(Y\) are compact Hausdorff spaces, \(M\)~is a unital subspace of the Banach space \(C(X)\) (respectively, \(C_{{\mathbb R}}(X)\)) of all complex-valued (resp., real-valued) continuous functions on~\(X\), \(S\subset M\) a complex (resp., real ...
Hachiro, Tomoko, Okayasu, Takateru
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Simultaneous approximation by neural network operators with applications to Voronovskaja formulas
Mathematische Nachrichten, Volume 298, Issue 3, Page 871-885, March 2025.Abstract In this paper, we considered the problem of the simultaneous approximation of a function and its derivatives by means of the well‐known neural network (NN) operators activated by the sigmoidal function. Other than a uniform convergence theorem for the derivatives of NN operators, we also provide a quantitative estimate for the order of ...
Marco Cantarini, Danilo Costarelli
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