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

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

Electronic Repository of Educational Materials on the Topics 'Rehabilitation in Post-COVID' and 'Neurorehabilitation in Neuro-COVID': Structure of the Course and Analysis of Learners’ Opinion

Autor: Ivet B. Koleva, Borislav R. Yoshinov, Radoslav R. Yoshinov

Publikováno v: Digital Presentation and Preservation of Cultural and Scientific Heritage, Vol 13 (2023)

The pandemic of COVID-19 imposed the necessity to develop the competences of medical specialists and health professionals on the topic “COVID-Rehabilitation”. We prepared educational materials and an electronic repository, including these topics.

Externí odkaz: https://doaj.org/article/6d9961dd00af4dd286475a71000ce23c

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

Efficacy of Application of an Electronic Archive in the Rehabilitation Field: Education and Digital Testing of Professional Competencies of Learners

Autor: Yoshinov, Radoslav R., Koleva, Ivet B., Yoshinov, Borislav R.

Publikováno v: Digital Presentation and Preservation of Cultural and Scientific Heritage. (XII):171-181

Externí odkaz: https://www.ceeol.com/search/article-detail?id=1063479