Results 31 to 40 of about 1,148 (144)
Two Korovkin-type theorems in multivariate approximation
Banach Journal of Mathematical Analysis, 2008 Two Korovkin-type theorems [\textit{F. Altomare} and \textit{M. Campiti}, Korovkin-type Approximation Theory and its applications. de Gruyter Studies in Mathematics. 17. (Berlin): Walter de Gruyter. (1994; Zbl 0924.41001)] in multivariate approximation in which the limit of the sequence of operators is not necessarily the identity have been proved. One
Guessab, Allal, Schmeisser, Gerhard
openaire +3 more sources
Approximation properties for modified $(p,q)$-Bernstein-Durrmeyer operators [PDF]
Mathematica Bohemica, 2018 We introduce modified $(p,q)$-Bernstein-Durrmeyer operators. We discuss approximation properties for these operators based on Korovkin type approximation theorem and compute the order of convergence using usual modulus of continuity.
Mohammad Mursaleen, Ahmed A. H. Alabied
doaj +1 more source
A generalization of Kantorovich operators for convex compact subsets [PDF]
, 2016 In this paper we introduce and study a new sequence of positive linear operators acting on function spaces defined on a convex compact subset. Their construction depends on a given Markov operator, a positive real number and a sequence of probability ...
Altomare, Francesco +3 more
core +2 more sources
Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions
Journal of Inequalities and Applications, 2016 In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions.
Mohammad Mursaleen +2 more
doaj +1 more source
On the Korovkin approximation theorem and Volkov-type theorems [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Korovkin type theorems and approximate Hermite–Hadamard inequalities
Journal of Approximation Theory, 2012 Let \(X\) be a real linear space and let \(D \subset X\) be a convex subset. One can easily see that, for any constant \(\varepsilon \geq 0\), the \(\varepsilon\)-convexity of \(f\), i.e., the validity of \[ f(tx+(1-t)y)\leq t f(x) + (1-t) f(y) +\varepsilon \qquad (x,y\in D, \;t\in [0,1]), \] implies the following lower and upper \(\varepsilon ...
Judit Makó, Zsolt Páles
openaire +2 more sources
Convergence of λ-Bernstein operators based on (p, q)-integers
Journal of Inequalities and Applications, 2020 In the present paper, we construct a new class of positive linear λ-Bernstein operators based on (p, q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception of K-functional ...
Qing-Bo Cai, Wen-Tao Cheng
doaj +1 more source
Journal of Function Spaces, 2021 In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval.
Reşat Aslan, Aydın İzgi
doaj +1 more source
Weighted approximation: Korovkin and quantitative type theorems
Modern Mathematical Methods, 2023 In the present paper, we consider Korovkin and quantitative theorems, which have been treated by various authors to date, under weighted approximation. After giving the basic definitions and some of well-known spaces, we mention the main theorems and their applications to linear positive operators, which have been specially treated by the authors ...
openaire +2 more sources
Statistical summability \((C,1)\) and a Korovkin type approximation theorem [PDF]
Journal of Inequalities and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohiuddine, Syed +2 more
openaire +2 more sources