Results 41 to 50 of about 827,039 (225)

Approximation by Tensor-Product Kind Bivariate Operator of a New Generalization of Bernstein-Type Rational Functions and Its GBS Operator

Mathematics, 2022
We introduce a tensor-product kind bivariate operator of a new generalization of Bernstein-type rational functions and its GBS (generalized Boolean sum) operator, and we investigate their approximation properties by obtaining their rates of convergence ...
Esma Yıldız Özkan, Gözde Aksoy
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Approximation process of a positive linear operator of hypergeometric type

Demonstratio Mathematica
In this article, we construct a new sequence of positive linear operators Hn:B[0,1]→C[0,1]{H}_{n}:B{[}0,1]\to C{[}0,1] using the hypergeometric distribution of probability theory and the rational values of f at the equally spaced control points k∕nk/n
Karsli Harun
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Multivariate trigonometric Korovkin theorem within a fuzzy framework [PDF]

Mathematica Moravica
In this paper, the trigonometric fuzzy Korovkin theorem, originally established by G. A. Anastassiou and S. G. Gal (Nonlinear Functional Analysis and Applications, 11 (2006), 385-395), is extended to the k-dimensional setting. The proof is based on a new
Taş Emre, Ekici Selma
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On a Family of Parameter-Based Bernstein Type Operators with Shape-Preserving Properties

Journal of Mathematics, 2023
This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator.
Bahareh Nouri, Jamshid Saeidian
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Extensions of Representable Positive Linear Functionals to Unitized Quasi *-Algebras

, 2013
It is known that, under certain conditions, *-representability and extensibility to the unitized *-algebra of a positive linear functional, defined on a *-algebra without unit, are equivalent.
Bellomonte, Giorgia
core   +1 more source

The Voronovskaya theorem for some operators of the Szasz-Mirakjan type

Le Matematiche, 1995
We give the Voronovskaya theorem for some operators  of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+infinity) and having the polynomial grouth at infinity. Some approximation properties of these operators are given in [2],
Lucina Rempulska, Mariola Skorupka
doaj  

Weighted norm inequalities for polynomial expansions associated to some measures with mass points

, 1995
Fourier series in orthogonal polynomials with respect to a measure $\nu$ on $[-1,1]$ are studied when $\nu$ is a linear combination of a generalized Jacobi weight and finitely many Dirac deltas in $[-1,1]$.
A. M. Krall, A. Máté, B. Muckenhoupt, B. Muckenhoupt, B. Muckenhoupt, C. E. Kenig, C. Segovia, C. Segovia, C. Segovia, E. A. Rahmanov, E. Laeng, E. M. Stein, F. J. Ruiz, F. V. Atkinson, G. Szegõ, H. Pollard, J. García-Cuerva, J. García-Cuerva, J. J. Guadalupe, J. J. Guadalupe, J. J. Guadalupe, J. J. Guadalupe, J. L. Varona, J.E. Gilbert, J.J. Guadalupe, J.J. Guadalupe, L. Colzani, L. L. Littlejohn, M. Pérez, R. Askey, R.R. Coifman, R.R. Coifman, S. Bloom, S. Chanillo, T. Koornwinder, T. S. Chihara, V. M. Badkov   +36 more
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Approximation Theorems for q- Analouge of a Linear Positive Operator by A. Lupas

International Journal of Analysis and Applications, 2016
The purpose of the present paper is to introduce $q-$ analouge of a sequence of linear and positive operators which was introduced by A. Lupas [2]. First, we estimate moments of the operators and then prove a basic convergence theorem.
Karunesh Kumar Singh, Asha Ram Gairola, Deepmala .   +2 more
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On the Monotonicity of Positive Linear Operators

Journal of Approximation Theory, 1998
The main result of this paper concerns positive linear approximation operators of the so-called Feller type \[ K_n(f,x): =Ef(T_{n,x}) =\int_I f(t)dG_{n,x} (t),\;n\in\mathbb{N}, \] where the random variable \(T_{n,x}\) is the arithmetic mean of identically distributed random variables \(X_{i,x}\), \(I=1, \dots, n\) taking values in an interval \(I\) and
KHAN M. K., DELLA VECCHIA, Biancamaria, FASSIH A.   +2 more
openaire   +3 more sources

The Maximal Regularity of Nonlinear Second-Order Hyperbolic Boundary Differential Equations

Axioms
In this paper, we show the maximal regularity of nonlinear second-order hyperbolic boundary differential equations. We aim to show if the given second-order partial differential operator satisfies the specific ellipticity condition; additionally, if ...
Xingyu Liu
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