Abstract
In this paper generalized Kantorovich operators are constructed using Lototsky-Bernstein basis functions on unit interval. An approximation of continuous functions by these sequence of operators has been established based on Korovkin’s theorem. Finally, we prove that this sequence of operators \(D_{\mu }(f;x)\) converges to \(f\in L^{p}[0,1]\) in \(\Vert .\Vert _{p}\).
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Khan, A., Iliyas, M. & Mursaleen, M. Approximation of Lebesgue integrable functions by Bernstein-Lototsky-Kantorovich operators. Rend. Circ. Mat. Palermo, II. Ser 72, 1453–1461 (2023). https://doi.org/10.1007/s12215-022-00747-6
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DOI: https://doi.org/10.1007/s12215-022-00747-6