Results 91 to 100 of about 606,824 (183)
Korovkin-type theorem and application
Journal of Approximation Theory, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Inequalities and ApplicationsIn this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators.
Lian-Ta Su +3 more
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Statistical Deferred Weighted Riemann Summability and Fuzzy Approximation Theorems [PDF]
Sahand Communications in Mathematical AnalysisThe notion of statistical convergence has fascinated many researchers due mainly to the fact that it is more general than the well-established hypothesis of ordinary (classical) convergence.
Priyadarsini Parida +2 more
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Qualitative Korovkin-Type Theorems for R-Convergence
Journal of Approximation Theory, 1995 The author studies complex sequences of linear operators which are ``almost positive'' ouside sets of small Jordan measure. For them Korovkin-type theorems in terms of a modification of the \(R\)-convergence are proved. In this conclusion the author gives an interesting application of obtained results.
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A Korovkin-type theorem for set-valued Hausdorff continuous functions
Le Matematiche, 1987 In this paper, we give a generalization of a Korovkin-type theorem for set-valued Hausdorff continuous functions (cf. [1] and [2]), by means of upper and lower envelopes.
Michele Campiti
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Journal of Mathematical Sciences and Modelling, 2019 In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double
Selma Altundağ, Bayram Sözbir
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Linear operators that preserve some test functions
International Journal of Mathematics and Mathematical Sciences, 2006 The paper centers around a pair of sequences of linear positive operators. The former has the degree of exactness one and the latter has its degree of exactness null, but, as a novelty, it reproduces the third test function of Korovkin theorem ...
Octavian Agratini
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Acta Scientiarum: Technology, 2015 The concept of statistical summability (C, 1) has recently been introduced by Moricz (2002). In this paper, we use this notion of summability to prove the Korovkin type approximation theorem for functions of two variables. Finally we construct an example
Mohammad Mursaleen +1 more
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Approximation Theorems for Functions of Two Variables via σ-Convergence
Journal of Function Spaces, 2014 Çakan et al. (2006) introduced the concept of σ-convergence for double sequences. In this work, we use this notion to prove the Korovkin-type approximation theorem for functions of two variables by using the test functions 1, x, y, and x2+y2 and ...
Mohammed A. Alghamdi
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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 ...
Makó, Judit, Páles, Zsolt
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