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Approximation by Max-Product Baskakov Operators

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Approximation by Max-Product Type Operators

Abstract

This chapter studies the approximation and the shape preserving properties of the max-product Baskakov operators, denoted by V n (M)(f) in the non-truncated case, by U n (M)(f) in the truncated case and attached to bounded functions f with only positive values.

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References

  1. Bede, B., Coroianu, L., Gal, S.G.: Approximation and shape preserving properties of the nonlinear Baskakov operator of max-product kind. Stud. Univ. Babes-Bolyai Math. LV (4), 193–218 (2010)

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  2. Bede, B., Coroianu, L., Gal, S.G.: Approximation and shape preserving properties of the truncated Baskakov operator of max-product kind. Rev. Union Matematica Argent. 52 (1), 89–107 (2011)

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  3. Popoviciu, T.: Deux remarques sur les fonctions convexes. Bull. Soc. Sci. Acad. Roum 220, 45–49 (1938)

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Bede, B., Coroianu, L., Gal, S.G. (2016). Approximation by Max-Product Baskakov Operators. In: Approximation by Max-Product Type Operators. Springer, Cham. https://doi.org/10.1007/978-3-319-34189-7_4

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