Výsledky vyhledávání - "Draganov, Borislav R."

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Shape preserving properties of the Bernstein polynomials with integer coefficients

Autor: Draganov, Borislav R.

Publikováno v: Ann. Sofia Univ., Fac. Math. and Inf. 106 (2019), 79-100

The Bernstein polynomials with integer coefficients do not generally preserve monotonicity and convexity. We establish sufficient conditions under which they do. We also observe that they are asymptotically shape preserving.

Externí odkaz: http://arxiv.org/abs/2005.08692

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Strong converse inequalities for the weighted multivariate Bernstein-Durrmeyer operator on the simplex via multipliers

Autor: Draganov, Borislav R.

Publikováno v: Ann. Sofia Univ., Fac. Math. and Inf., 105 (2018) 55-73

It is demonstrated that multiplier methods naturally yield better constants in strong converse inequalities for the Bernstein-Durrmeyer operator. The absolute constants obtained in some of the inequalities are independent of the weight and the dimens

Externí odkaz: http://arxiv.org/abs/1909.04552

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Converse estimates for the simultaneous approximation by Bernstein polynomials with integer coefficients

Autor: Draganov, Borislav R.

Publikováno v: Proc. intern. conf. "Constructive Theory of Functions", Sozopol 2019 (B. Draganov, K. Ivanov, G. Nikolov and R. Uluchev, Eds.), pp. 39-51, Prof. Marin Drinov Publishing House of BAS, Sofia, 2020

We prove a weak converse estimate for the simultaneous approximation by several forms of the Bernstein polynomials with integer coefficients. It is stated in terms of moduli of smoothness. In particular, it yields a big $O$-characterization of the ra

Externí odkaz: http://arxiv.org/abs/1904.09417

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Simultaneous approximation by Bernstein polynomials with integer coefficients

Autor: Draganov, Borislav R.

Publikováno v: J. Approx. Theory 237(2019), 1-16

We prove that several forms of the Bernstein polynomials with integer coefficients possess the property of simultaneous approximation, that is, they approximate not only the function but also its derivatives. We establish direct estimates of the erro

Externí odkaz: http://arxiv.org/abs/1804.08248

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