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Examining adherence to American Urological Association (AUA) guidelines in men's health: Insights from the New York section AUA survey. [PDF]
Investig Clin UrolHernandez H +3 more
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On Bernstein type rational functions of two variables
, 2004 Çíğdem Atakut, Nurhayat İspir
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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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Bernstein polynomials and dual functionals
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science, 2023The 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 +2 more
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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 +2 more
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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 +2 more
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Bernstein functions, complete hyperexpansivity and subnormality-II
Integral Equations and Operator Theory, 2002The 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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Internal Bernstein functions and Lévy‐Laplace exponents
Mathematical Methods in the Applied Sciences, 2020Bertoin, Roynette and Yor (2004) described new connections between the class of Lévy‐Laplace exponents Ψ (also called the class of (sub)critical branching mechanism) and the class of Bernstein functions ( ) which are internal, that is, those Bernstein functions ϕ s.t. Ψ∘ϕ remains a Bernstein function for every Ψ. We complete their work and illustrate
Kholoud Basalim +2 more
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