Search Results - Linear operator approximation theory
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On the stability of some positive linear operators from approximation theory
ISSN: 1664-3607, 1664-3615Published: Basel Springer Basel 01.07.2015Published in Bulletin of mathematical sciences (01.07.2015)“… ] and obtained the best constant when the positive linear operators are stable in the sense of Hyers…”
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On the approximation of functions in C1(I) by a class of positive linear operators
ISSN: 0021-9045, 1096-0430Published: Elsevier Inc 01.09.2022Published in Journal of approximation theory (01.09.2022)“…)where f is not a linear function of x and Ln(f,x) are a class of positive linear operators…”
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Applications of Linear Systems Theory to Koopman Operator Approximation
ISBN: 9798290627427Published: ProQuest Dissertations & Theses 01.01.2024“…This thesis considers the use of linear systems theory in the context of Koopman operator approximation…”
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Analysis of Approximation by Linear Operators on Variable L ρ p ( · ) Spaces and Applications in Learning Theory
ISSN: 1085-3375, 1687-0409Published: Cairo, Egypt Hindawi Publishing Corporation 2014Published in Abstract and applied analysis (2014)“… . We mainly consider approximation by Bernstein type linear operators. Under an assumption of log…”
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On the approximation of functions in C 1 ( I ) by a class of positive linear operators
ISSN: 0021-9045Published: 01.09.2022Published in Journal of approximation theory (01.09.2022)Get full text
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Analysis of Approximation by Linear Operators on Variable L_p^(p(.)) Spaces and Applications in Learning Theory
ISSN: 1085-3375, 1687-0409Published: New York Hindawi Limiteds 01.12.2014Published in Abstract and Applied Analysis (01.12.2014)“… ρ on an open subset Ω of [superscript] R d [/superscript] . We mainly consider approximation by Bernstein type linear operators…”
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Analysis of approximation by linear operators on variable [L.sup.p.sub.[rho]] spaces and applications in learning theory
ISSN: 1085-3375Published: John Wiley & Sons, Inc 01.01.2014Published in Abstract and applied analysis (01.01.2014)“…]. We mainly consider approximation by Bernstein type linear operators. Under an assumption of log-Holder continuity of the exponent function p, we verify a conjecture…”
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Learning theory viewpoint of approximation by positive linear operators
ISSN: 0898-1221, 1873-7668Published: Elsevier Ltd 01.12.2010Published in Computers & mathematics with applications (1987) (01.12.2010)“…We follow a learning theory viewpoint to study a family of learning schemes for regression related to positive linear operators in approximation theory…”
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The Bernstein Voronovskaja-type theorem for positive linear approximation operators
ISSN: 0021-9045, 1096-0430Published: Elsevier Inc 01.04.2015Published in Journal of approximation theory (01.04.2015)“…We prove that the classical Bernstein Voronovskaja-type theorem remains valid in general for all sequences of positive linear approximation operators…”
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Approximation by pseudo-linear operators
ISSN: 0165-0114, 1872-6801Published: Amsterdam Elsevier B.V 01.04.2008Published in Fuzzy sets and systems (01.04.2008)“…The approximation operators provided by classical approximation theory use exclusively as underlying algebraic structure the linear structure of the reals…”
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Maximum Likelihood Estimation of Functionals of Discrete Distributions
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.10.2017Published in IEEE transactions on information theory (01.10.2017)“… We apply concentration inequalities to analyze the random fluctuation of these estimators around their expectations and the theory of approximation using positive linear operators to analyze…”
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A note on the remainder in the approximation of functions by some positive linear operators
ISSN: 1385-1292, 1572-9281Published: Cham Springer International Publishing 01.11.2023Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (01.11.2023)“…In this note we give representations for the remainder in approximations formulas generated by positive linear operators which preserve some functions including linear functions…”
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Some new semi-exponential operators
ISSN: 1578-7303, 1579-1505Published: Cham Springer International Publishing 01.04.2022Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01.04.2022)“…In the theory of approximation, linear operators play an important role. The exponential-type operators were introduced four decades ago, since then no…”
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Approximation with arbitrary order by certain linear positive operators
ISSN: 1385-1292, 1572-9281Published: Cham Springer International Publishing 01.11.2018Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (01.11.2018)“…This paper aims to highlight classes of linear positive operators of discrete and integral type for which the rates in approximation of continuous functions and in quantitative estimates…”
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Approximation on variable exponent spaces by linear integral operators
ISSN: 0021-9045, 1096-0430Published: Elsevier Inc 01.11.2017Published in Journal of approximation theory (01.11.2017)“…This paper aims at approximation of functions by linear integral operators on variable exponent spaces associated with a general exponent function on a domain of a Euclidean space. Under a log…”
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Perturbation theory for the approximation of stability spectra by QR methods for sequences of linear operators on a Hilbert space
ISSN: 0024-3795Published: Amsterdam Elsevier Inc 01.07.2012Published in Linear algebra and its applications (01.07.2012)“… Error bounds are obtained in both the integrally separated and non-integrally separated cases that correspond to distinct and multiple eigenvalues, respectively, for a single linear operator…”
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Strong converse inequality for linear combinations of Szász-Mirakjan operators
ISSN: 0021-9045, 1096-0430Published: Elsevier Inc 01.01.2022Published in Journal of approximation theory (01.01.2022)“…By means of the regularity of the differential operators generated by the Szász-Mirakjan operators, this paper further investigates the relation between the approximation rate of the linear combinations…”
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Approximation by Shepard type pseudo-linear operators and applications to Image Processing
ISSN: 0888-613X, 1873-4731Published: Amsterdam Elsevier Inc 2009Published in International Journal of Approximate Reasoning (2009)“… Several other operations provided by fuzzy sets theory can be used. In the present paper, pseudo-linear approximation operators are investigated from the practical point of view in Image Processing. We study max–min, max…”
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Journal Article Conference Proceeding -
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Local and Global Approximation Theorems for Positive Linear Operators
ISSN: 0021-9045, 1096-0430Published: Elsevier Inc 01.09.1998Published in Journal of approximation theory (01.09.1998)“…In this paper we bridge local and global approximation theorems for positive linear operators via Ditzian–Totik moduliω2φ(f,δ…”
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Geometric properties of the Lupaş $q$-transform
ISSN: 1735-8787, 1735-8787Published: Durham Nature Publishing Group 01.01.2014Published in Banach journal of mathematical analysis (01.01.2014)“…The Lupas q-transform emerges in the study of the limit q-Lupas operator. This transform is closely connected to the theory of positive linear operators…”
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