Uniform boundedness of Kantorovich operators in Morrey spaces
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DOI: 10.1007/s11117-018-0561-x
Abstract: In this paper, the Kantorovich operators $$K_n, n\in \mathbb {N}$$Kn,n∈N are shown to be uniformly bounded in Morrey spaces on the closed interval [0, 1]. Also an upper estimate is obtained for the difference $$K_n(f)-f$$Kn(f)-f for… read more here.
Keywords: morrey spaces; kantorovich operators; uniform boundedness; operators morrey ... See more keywords
Better approximation results by Bernstein–Kantorovich operators
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DOI: 10.1134/s1995080217010085
Abstract: In this paper, we give a King-type modification of the Bernstein–Kantorovich operators and study the approximation properties of these operators. We prove that the error estimation of these operators is better than the classical Bernstein–Kantorovich… read more here.
Keywords: kantorovich operators; better approximation; operators better; approximation results ... See more keywords
Approximation properties of λ-Kantorovich operators
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DOI: 10.1186/s13660-018-1795-7
Abstract: In the present paper, we study a new type of Bernstein operators depending on the parameter λ∈[−1,1]$\lambda\in[-1,1]$. The Kantorovich modification of these sequences of linear positive operators will be considered. A quantitative Voronovskaja type theorem… read more here.
Keywords: type; approximation properties; kantorovich operators; properties kantorovich ... See more keywords
Multidimensional sampling-Kantorovich operators in BV-spaces
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DOI: 10.1515/math-2022-0573
Abstract: Abstract The main purpose of this article is to prove a result of convergence in variation for a family of multidimensional sampling-Kantorovich operators in the case of averaged-type kernels. The setting in which we work… read more here.
Keywords: multidimensional sampling; sampling kantorovich; operators spaces; kantorovich operators ... See more keywords
Uniform boundedness of Szász-Mirakjan-Kantorovich operators in Morrey spaces with variable exponents
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DOI: 10.2298/fil2007109s
Abstract: The Sz?sz-Mirakjan-Kantorovich operators and the Baskakov-Kantorovich operators are shown to be controlled by the Hardy-Littlewood maximal operator. The Sz?sz-Mirakjan-Kantorovich operators and the Baskakov-Kantorovich operators turn out to be uniformly bounded in Lebesgue spaces and Morrey… read more here.
Keywords: kantorovich operators; morrey spaces; spaces variable; mirakjan kantorovich ... See more keywords