Results 251 to 260 of about 2,797,460 (290)

Biallelic variants in RNU2-2 cause the most prevalent known recessive neurodevelopmental disorder. [PDF]

Nat Genet
Greene D, Mendez R, Lees J, Barbosa M, Bruselles A, Chiriatti L, Ferraro F, Mancini C, Schot R, Sleutels F, Bertini E, Bonner DE, Bouman A, Brooks AS, Cassini TA, Ezell KM, Gomez-Ospina N, Kleefstra T, O'Donoghue M, Rives L, Shashi V, Spillmann RC, Wafik M, Undiagnosed Diseases Network, Freson K, Barakat TS, Tartaglia M, Bernstein JA, Mumford AD, Wheeler MT, Turro E.   +30 more
europepmc   +1 more source

Generalized Bernstein functions [PDF]

MATHEMATICA SCANDINAVICA, 2023
A class of functions called generalized Bernstein functions is studied. The fundamental properties of this class are given and its relation to generalized Stieltjes functions via the Laplace transform is investigated. The subclass of generalized Thorin-Bernstein functions is characterized in different ways.
Koumandos, Stamatis, Pedersen, Henrik L.
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Generating Functions for the q-Bernstein Bases

SIAM Journal on Discrete Mathematics, 2014
We derive explicit formulas for the generating functions of the $q$-Bernstein basis functions in terms of $q$-exponential functions. Using these explicit formulas, we derive a collection of functional equations for these generating functions which we apply to prove a variety of identities, some old and some new, for the $q$-Bernstein bases.
Ron Goldman, Yılmaz Şimşek, Plamen Simeonov   +2 more
exaly   +2 more sources

The dual basis functions for the Bernstein polynomials

Advances in Computational Mathematics, 1998
The Bernstein polynomials \(B^n_i\), \(i=0,1,\dots,n\) form a basis of the \((n+1)\)-dimensional real linear space \(P^n\) of all polynomials of maximal degree \(n\). The dual basis functions \(D^n_j\) with respect to the inner product of \(L^2[0,1]\) can be represented as linear combinations of the \(B^n_i\).
Bert Jüttler
exaly   +4 more sources

Bernstein Functions

2009
This text is a self-contained and unified approach to Bernstein functions and their subclasses, bringing together old and establishing new connections. Applications of Bernstein functions in different fields of mathematics are given, with special attention to interpretations in probability theory.
Schilling, Rene, Song, Renming, Vondraček, Zoran   +2 more
openaire   +3 more sources

Approximation of Functions by a Bernstein-Type Operator

Canadian Mathematical Bulletin, 1972
Various generalizations of the Bernstein operator, defined on C[0, 1] by the relation1.1wherehave been given. Note that bnk(x) is the well-known binomial distribution.
Pethe, S. P., Jain, G. C.
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Bernstein polynomials and dual functionals

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science, 2023
The divided differences of Bernstein polynomials were investigated by Alexandru Lupas in 1995. We extend the results of that investigation. Moreover, we establish new relations between them and the theory of dual functionals.
Acu, Ana-Maria, Motronea, Gabriela, Raşa, Ioan   +2 more
openaire   +2 more sources

Bernstein functions, complete hyperexpansivity and subnormality-II

Integral Equations and Operator Theory, 2002
The notion of subnormal operator was introduced in [Summa Brasil. Math. 2, 125--134 (1950; Zbl 0041.23201)] by \textit{P. R. Halmos}, while the notion of a completely hyperexpansive operator was introduced in [Proc. Am. Math. Soc. 124, 3745--3752 (1996; Zbl 0863.47017)] by \textit{A. Athavale}.
Athavale, Ameer, Ranjekar, Abhijit
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On the Generating Function for Bernstein Polynomials

AIP Conference Proceedings, 2010
The aim of this paper is to give main properties of the generating function of the Bernstein polynomials. We prove recurrence relations and derivative formula for Bernstein polynomials. Furthermore, some new results are obtained by using this generating function of these polynomials.
Mehmet Açíkgöz, Serkan Araci, Theodore E. Simos, George Psihoyios, Ch. Tsitouras   +4 more
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Bernstein Functions and the Dirichlet Problem

SIAM Journal on Mathematical Analysis, 1989
For a nonconvex, symmetric quadrilateral, the nonparametric minimal surface arising from an associated Dirichlet problem can be described in terms of the Weierstrass representation and the stereographic projection of its Gauss map. The Bernstein function—which arises by truncation of the re-entrant corner by a concave arc and by requiring the normal ...
Alan R. Elcrat, Kirk E. Lancaster
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