An Inverse Result of Approximation by Sampling Kantorovich Series
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DOI: 10.1017/s0013091518000342
Abstract: Abstract In the present paper, an inverse result of approximation, i.e. a saturation theorem for the sampling Kantorovich operators, is derived in the case of uniform approximation for uniformly continuous and bounded functions on the… read more here.
Keywords: approximation; inverse result; series; result approximation ... 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