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arXiv · 2301.01039

Brass-Stancu-Kantorovich Operators on a Hypercube

Gülen Başcanbaz-Tunca·Heiner Gonska
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Abstract

We deal with multivariate Brass-Stancu-Kantorovich operators depending on a non-negative integer parameter and defined on the space of all Lebesgue integrable functions on a unit hypercube. We prove $L^{p}$-approximation and provide estimates for the $L^{p}$-norm of the error of approximation in terms of a multivariate averaged modulus of continuity and of the corresponding $L^{p}$-modulus.

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Gülen Başcanbaz-Tunca, Heiner Gonska. 2023-01-03. Brass-Stancu-Kantorovich Operators on a Hypercube. https://arxiv.org/abs/2301.01039

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