Results 11 to 20 of about 246 (62)
Abstract and Applied Analysis, Volume 6, Issue 7, Page 381-400, 2001., 2001 Let X be a Banach space, V ⊂ X is its subspace and U ⊂ X*. Given x ∈ X, we are looking for v ∈ V such that u (v) = u (x) for all u ∈ U and ‖v‖ ≤ M‖x‖. In this article, we study the restrictions placed on the constant M as a function of X, V, and U.
Boris Shekhtman
wiley +1 more source
Optimal recovery of integral operators and its applications [PDF]
, 2015 In this paper we present the solution to the problem of recovering rather arbitrary integral operator based on incomplete information with error. We apply the main result to obtain optimal methods of recovery and compute the optimal error for the ...
Babenko, Vladyslav +3 more
core +3 more sources
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 259-269, 1999., 1999 New sufficient conditions for strong approximation of copulas, generated by sequences of partitions of unity, are given. Results are applied to the checkerboard and Bernstein approximations.
Tomasz Kulpa
wiley +1 more source
On approximation in the Lp‐norm by Hermit interpolation
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 35-39, 1992., 1991 Lp‐approximation by the Hermite interpolation based on the zeros of the Tchebycheff polynomials of the first kind is considered. The corresponding result of Varma and Prasad [1] is generalized and perfected.
Min Guohua
wiley +1 more source
A new approach to nonlinear singular integral operators depending on three parameters
Open Mathematics, 2016 In this paper, we present some theorems on weighted approximation by two dimensional nonlinear singular integral operators in the following form: Tλ(f;x,y)=∬R2Kλ(t−x,s−y,f(t,s))dsdt,(x,y)∈R2,λ∈Λ,$${T_\lambda }(f;x,y) = \iint\limits_{{\mathbb{R}^2}}K_ ...
Uysal Gumrah
doaj +1 more source
New coins from old, smoothly [PDF]
, 2009 Given a (known) function $f:[0,1] \to (0,1)$, we consider the problem of simulating a coin with probability of heads $f(p)$ by tossing a coin with unknown heads probability $p$, as well as a fair coin, $N$ times each, where $N$ may be random. The work of
A.F. Timan +12 more
core +3 more sources
Dunkl analogue of Szász-mirakjan operators of blending type
Open Mathematics, 2018 In the present work, we construct a Dunkl generalization of the modified Szász-Mirakjan operators of integral form defined by Pǎltanea [1]. We study the approximation properties of these operators including weighted Korovkin theorem, the rate of ...
Deshwal Sheetal +2 more
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Approximation properties of Kantorovich type q-Balázs-Szabados operators
Demonstratio Mathematica, 2019 In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators.
Özkan Esma Yıldız
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Approximation theorems for multivariate Taylor-Abel-Poisson means
, 2019 We obtain direct and inverse approximation theorems of functions of several variables by Taylor-Abel-Poisson means in the integral metrics. We also show that norms of multipliers in the spaces $L_{p,Y}(\mathbb T^d)$ are equivalent for all positive ...
Prestin, Jürgen +2 more
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Approximation Properties of Ibragimov-Gadjiev-Durrmeyer Operators on Lp (ℝ+)
Demonstratio Mathematica, 2017 We deal with the approximation properties of a new class of positive linear Durrmeyer type operators which offer a reconstruction of integral type operators including well known Durrmeyer operators.
Ulusoy Gülsüm, Aral Ali
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