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Higher order Thorin-Bernstein Functions [PDF]
Results in Mathematics, 2023 AbstractWe investigate subclasses of generalized Bernstein functions related to complete Bernstein and Thorin–Bernstein functions. Representations in terms of incomplete beta and gamma as well as hypergeometric functions are presented. Several special cases and examples are discussed.
H. Pedersen, Stamatis Koumandos
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A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function [PDF]
Abstract and Applied Analysis, 2010 The main object of this paper is to construct a new generating function of the (q-) Bernstein-type polynomials. We establish elementary properties of this function. By using this generating function, we derive recurrence relation and derivative of the (q-
Yilmaz Simsek, Mehmet Acikgoz
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$q$-Bernstein functions and applications [PDF]
, 2016 We characterize of the $q$-Bernstein functions in terms of $q$-Laplace transform. Moreover, we present several results of $q$-completely monotonic, $q$-log completely monotonic and $q$-Bernstein functions.
Vlerë Krasniqi, Toufik Mansour
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Approximations of generalized Bernstein functions [PDF]
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Stamatis Koumandos, H. Pedersen
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Lower bounds for quasianalytic functions, II The Bernstein quasianalytic functions.
MATHEMATICA SCANDINAVICA, 2004 Let $\mathscr{F}$ be a class of functions with the uniqueness property: if $f \in \mathscr{F}$ vanishes on a set $E$ of positive measure, then $f$ is the zero function. In many instances, we would like to have a quantitative version of this property, e.g. a lower bound for $|f|$ outside a small exceptional set.
Alexander Borichev +2 more
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Approximation by Fuzzy $(p,q)$-Bernstein-Chlodowsky Operators [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this study, we purpose to extend approximation properties of the $ (p,q)$-Bernstein-Chlodowsky operators from real function spaces to fuzzy function spaces.
Esma Ozkan
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A Family of Horn-Bernstein Functions [PDF]
Experimental Mathematics, 2021 14 pages references ...
Berg, Christian, Pedersen, Henrik L.
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On Better Approximation of the Squared Bernstein Polynomials [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2022 The present paper is defined a new better approximation of the squared Bernstein polynomials. This better approximation has been built on a positive function defined on the interval [0,1] which has some properties.
Rafah Katham, Ali Mohammad
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On a New Generalization of Bernstein-Type Rational Functions and Its Approximation
Mathematics, 2022 In this study, we introduce a new generalization of a Bernstein-type rational function possessing better estimates than the classical Bernstein-type rational function.
Esma Yıldız Özkan, Gözde Aksoy
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On the Bernstein Affine Fractal Interpolation Curved Lines and Surfaces
Axioms, 2020 In this article, firstly, an overview of affine fractal interpolation functions using a suitable iterated function system is presented and, secondly, the construction of Bernstein affine fractal interpolation functions in two and three dimensions is ...
Nallapu Vijender, Vasileios Drakopoulos
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