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Simultaneous approximation for the Phillips operators [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We study the simultaneous approximation properties of the well-known Phillips operators. We establish the rate of convergence of the Phillips operators in simultaneous approximation by means of the decomposition technique for functions of bounded ...
N. K. Govil +2 more
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Interpolation and best simultaneous approximation
Journal of Approximation Theory, 2010 The paper deals with best simultaneous approximation (b.s.a.) to \(k\) continuous functions on the interval \([a,b]\) from a finite subspace of \(C[a,b]\). The authors establish the limit of the b.s.a., which is important to provides qualitative and approximation analytic information concerning the the b.s.a.
Héctor Cuenya, Fabián E. Levis
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Existence of invariant points and applications to simultaneous approximation [PDF]
Bulletin of Natural Sciences Research, 2022 For the set of e-simultaneous approximation and e-simultaneous coapproximation, we derive certain Brosowski-Meinardus type invariant point results in this paper.
Chandok Sumit, Narang T. D.
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Journal of Numerical Analysis and Approximation Theory, 2021 We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations.
Laura Beutel, Heiner Gonska
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Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators
Journal of Numerical Analysis and Approximation Theory, 2021 In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
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Mathematics, 2021 A simultaneous-approximation term is a non-reflecting boundary condition that is usually accompanied by summation-by-parts schemes for provable time stability.
Myeongseok Kang, Donghyun You
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Joint Discrete Universality in the Selberg–Steuding Class
Axioms, 2023 In the paper, we consider the approximation of analytic functions by shifts from the wide class S˜ of L-functions. This class was introduced by A. Selberg, supplemented by J. Steuding, and is defined axiomatically.
Roma Kačinskaitė +2 more
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Ural Mathematical Journal, 2023 Some inequalities between the best simultaneous approximation of functions and their intermediate derivatives, and the modulus of continuity in a weighted Bergman space are obtained. When the weight function is \(\gamma(\rho)=\rho^\alpha,\) \(\alpha>0\),
Muqim S. Saidusainov
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On mixed joint discrete universality for a class of zeta-functions: a further generalization
Mathematical Modelling and Analysis, 2020 We present the most general at this moment results on the discrete mixed joint value-distribution (Theorems 5 and 6) and the universality property (Theorems 3 and 4) for the class of Matsumoto zeta-functions and periodic Hurwitz zeta-functions under ...
Roma Kačinskaitė, Kohji Matsumoto
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Simultaneous diophantine approximation [PDF]
Bulletin of the Australian Mathematical Society, 1972 AbstractUsing a method suggested by E. S. Barnes, it is shown that the simultaneous inequalities r(p — αr)2 < c, r(q — βr)2 < c have an infinity of integral solutions p, q, r (with r > 0), for arbitrary irrationals α and β, provided that c > 1/2.6394.
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