Results 91 to 100 of about 248 (176)

Equi-ideal convergence of positive linear operators for analytic p-ideals [PDF]

, 2011
In this paper, using equi-ideal convergence, we introduce a non-trivial gener-alization of the classical and the statistical cases of the Korovkin approximation theorem.
Demirci, Kamil, Dirik, Fadime
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Faster approximation to multivariate functions by combined Bernstein-Taylor operators

Demonstratio Mathematica
In this article, we incorporate multivariate Taylor polynomials into the definition of the Bernstein operators to get a faster approximation to multivariate functions by these combined operators.
Duman Oktay
doaj   +1 more source

Korovkin type theorem in the space $C_{b}[0,\infty)$: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary

, 2016
A Korovkin type theorem is established in the space $C_{b}[0,\infty)$ of all continuous and bounded functions on $[0,\infty)$ for a sequence of positive linear operators, the approximation error being estimated with the aid of the usual modulus of ...
FINTA, Zoltán
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The Lower Estimate for Bernstein Operator [PDF]

, 2013
MSC 2010: 41A10, 41A15, 41A25, 41A36For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of ...
Tachev, Gancho T., Gal, Sorin G.
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Second Derivative Free Eighteenth Order Convergent Method for Solving Non-Linear Equations

, 2017
In this paper, the Eighteenth Order Convergent Method (EOCM) developed by Vatti et.al is considered and this method is further studied without the presence of second derivative.
Ramadevi Sri, M.S.Kumar Mylapalli, V.B. Kumar Vatti   +2 more
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Chlodowsky variant of Bernstein-type operators on the domain

Open Mathematics
In the present paper, we deal with Bernstein-Chlodowsky type operators for approximating functions on the domain. We first present Bernstein-Chlodowsky type operators in two variables and then we discuss some examples of these operators under a domain ...
Serenbay Sevilay Kırcı, Karaman Rabia Aktaş   +1 more
doaj   +1 more source

Approximation results in Orlicz spaces by modified sampling Kantorovich operators

Demonstratio Mathematica
This paper deals with the modified sampling Kantorovich operators. We start by presenting the primary notations of Orlicz spaces and fundamental auxiliary results.
Turgay Metin
doaj   +1 more source

On the power of adaption and randomization

Forum of Mathematics, Sigma
We present bounds on the maximal gain of adaptive and randomized algorithms over nonadaptive, deterministic ones for approximating linear operators on convex sets. If the sets are additionally symmetric, then our results are optimal.
David Krieg, Erich Novak, Mario Ullrich
doaj   +1 more source

On the approximation of Kantorovich-type Szàsz-Charlier operators

Demonstratio Mathematica
In this study, we introduce the Kantorovich-type modified Szàsz-Charlier operators and examine their approximation properties within the framework of fractional modeling and control theory. These operators are defined using the Korovkin-type theorem, and
Karabıyık Ümit, Ayık Adem
doaj   +1 more source

On two modified Phillips operators: Dedicated to Professor Heiner Gonska on the occasion of his 70th anniversary.

, 2019
In this note we introduce two new modified Phillips operators G1 and n. We obtain direct estimates for approximation of bounded continuous functions, defined on [0, ∞) by G1 , as well as for approximation of unbounded continuous functions by G2 We ...
TACHEV, Gancho
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