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Existence of invariant points and applications to simultaneous approximation [PDF]

open access: yesBulletin 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.
doaj   +1 more source

Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications

open access: yesJournal 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
doaj   +7 more sources

A Low Dissipative and Stable Cell-Centered Finite Volume Method with the Simultaneous Approximation Term for Compressible Turbulent Flows

open access: yesMathematics, 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
doaj   +1 more source

Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators

open access: yesJournal 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
doaj   +7 more sources

Joint Discrete Universality in the Selberg–Steuding Class

open access: yesAxioms, 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
doaj   +1 more source

SOME INEQUALITIES BETWEEN THE BEST SIMULTANEOUS APPROXIMATION AND MODULUS OF CONTINUITY IN THE WEIGHTED BERGMAN SPACE

open access: yesUral 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
doaj   +1 more source

Best Simultaneous Diophantine Approximations under a Constraint on the Denominator [PDF]

open access: yes, 2005
We investigate the problem of best simultaneous Diophantine approximation under a constraint on the denominator, as proposed by Jurkat. New lower estimates for optimal approximation constants are given in terms of critical determinants of suitable star ...
Aliev, Iskander, Gruber, Peter
core   +5 more sources

On mixed joint discrete universality for a class of zeta-functions: a further generalization

open access: yesMathematical 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
doaj   +1 more source

Fuzzy Best Simultaneous Approximation of a Finite Numbers of Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $Cleft (X, Y right )$ and its fuzzy dual space and also the  set of subgradients of a fuzzy norm are introduced.
Hossain Alizadeh Nazarkandi
doaj   +1 more source

Unconventional height functions in simultaneous Diophantine approximation [PDF]

open access: yes, 2016
Simultaneous Diophantine approximation is concerned with the approximation of a point $\mathbf x\in\mathbb R^d$ by points $\mathbf r\in\mathbb Q^d$, with a view towards jointly minimizing the quantities $\|\mathbf x - \mathbf r\|$ and $H(\mathbf r ...
Fishman, Lior, Simmons, David
core   +3 more sources

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