Results 11 to 20 of about 432 (88)
Positive operators and approximation in function spaces on completely regular spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 61, Page 3841-3871, 2003., 2003 We discuss the approximation properties of nets of positive linear operators acting on function spaces defined on Hausdorff completely regular spaces. A particular attention is devoted to positive operators which are defined in terms of integrals with respect to a given family of Borel measures.
Francesco Altomare, Sabrina Diomede
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A pointwise approximation theorem for linear combinations of Bernstein polynomials
Abstract and Applied Analysis, Volume 1, Issue 4, Page 397-406, 1996., 1996 Recently, Z. Ditzian gave an interesting direct estimate for Bernstein polynomials. In this paper we give direct and inverse results of this type for linear combinations of Bernstein polynomials.
Shunsheng Guo +4 more
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Properties of the modulus of continuity for monotonous convex functions and applications
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 443-446, 1995., 1992 For a monotone convex function f ∈ C[a, b] we prove that the modulus of continuity w(f; h) is concave on [a, b] as function of h. Applications to approximation theory are obtained.
Sorin Gheorghe Gal
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A method of summability of Lagrange interpolation
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 19-25, 1994., 1992 The author uses in this paper a technique from numerical integration (see [9]) to get a discretely defined operator, which is a modification of the Lagrange operator. Therefore we improve with the linear summation method a result presented in [12] and we also point out a solution for a problem of P.L.Butzer in the proceedings of the Budapest conference
Detlef H. Mache
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A discrete Stochastic Korovkin theorem
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 679-682, 1991., 1989 In this article we give a sufficient condition for the pointwise −− in the first mean Korovkin property on B0(P), the space of stochastic processes with real state space and countable index set Γ and bounded first moments.
George A. Anastassiou
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Statistical approximation properties of λ-Bernstein operators based on q-integers
Open Mathematics, 2019 In this paper, we introduce a new generalization of λ-Bernstein operators based on q-integers, we obtain the moments and central moments of these operators, establish a statistical approximation theorem and give an example to show the convergence of ...
Cai Qing-Bo, Zhou Guorong, Li Junjie
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On the order of approximation by modified summation-integral-type operators based on two parameters
Demonstratio Mathematica, 2023 In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul +2 more
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Bernstein-type operators on elliptic domain and their interpolation properties
Demonstratio Mathematica, 2023 The aim of this article is to construct univariate Bernstein-type operators (ℬmxG)(x,z)\left({{\mathcal{ {\mathcal B} }}}_{m}^{x}G)\left(x,z) and (ℬnzG)(x,z),\left({{\mathcal{ {\mathcal B} }}}_{n}^{z}G)\left(x,z), their products (PmnG)(x,z)\left ...
Iliyas Mohammad +2 more
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A Dunkl Analogue of Operators Including Two-variable Hermite polynomials
, 2017 The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G.
Aktaş, Rabia +2 more
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(p,q)-Generalization of Szasz-Mirakyan Operators
, 2015 In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4.
Acar, Tuncer
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