Quantitative Korovkin theorems for monotone sublinear and strongly translatable operators in $L_{p}([0, 1]), 1\le p\le \infty $

Sorin G. Gal, Constantin P. Niculescu

Type: Article

Publication Date: 2024-01-01

Citations: 0

DOI: https://doi.org/10.4064/ap230511-18-12

Abstract

By extending the classical quantitative approximation results for positive linear operators in $L_{p}([0, 1])$, $1\le p \le \infty $, of Berens and DeVore in 1978 and of Swetits and Wood in 1983 to the more general case of monotone sublinear and strongly

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Works Cited by This (20)

Action	Title	Year	Authors
+	Korovkin-type Approximation Theory and its Applications	1994	Francesco Altomare Michele Campıtı
+	Uniform and pointwise convergence of Bernstein–Durrmeyer operators with respect to monotone and submodular set functions	2014	Sorin G. Gal Bogdan D. Opris
+	Linear Operators and Approximation Theory.	1965	Gian‐Carlo Rota P. P. Korovkin
+ PDF Chat	Quantitative estimates for Lp approximation with positive linear operators	1983	J. J. Swetits B. Wood
+	Minimum Moduli of Ordinary Differential Operators	1971	Seymour Goldberg A. Meir
+	Korovkin-type Theorems and Approximation by Positive Linear Operators	2010	Francesco Altomare
+	Uniform and Pointwise Quantitative Approximation by Kantorovich–Choquet Type Integral Operators with Respect to Monotone and Submodular Set Functions	2017	Sorin G. Gal
+ PDF Chat	A Nonlinear Extension of Korovkin’s Theorem	2020	Sorin G. Gal Constantin P. Niculescu
+ PDF Chat	Choquet operators associated to vector capacities	2021	Sorin G. Gal Constantin P. Niculescu
+ PDF Chat	Approximation by Choquet integral operators	2015	Sorin G. Gal