[PDF] Top 20 On Bernstein type polynomials and their applications
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On Bernstein type polynomials and their applications
... With the advances in computer graphics and CAD, there has been renewed interest by researchers to study Bézier curves and surfaces [, ]. According to Goldman [], free-form curves and surfaces are smooth shapes often ... See full document
11
Unification of the Bernstein-type polynomials and their applications
... the Bernstein-type polynomials, Bernoulli polynomials, Euler numbers and Stirling numbers of the second ...and applications of the Bernstein-type polynomials ... See full document
15
Integral representations of several (p,q)-Bernstein polynomials and their applications
... special polynomials[20]. Generalized Bernstein polynomials, so called q-Bernstein polynomials, were defined in ...generalize Bernstein polynomials were studied and some ... See full document
13
Schur Type Inequalities for Complex Polynomials with no Zeros in the Unit Disk
... suming any positivity property at all), with the only assumption of nonvanishing in D. This is somewhat unexpected, as an example of Hal´asz already established that as regards Bernstein- and Markov-type ... See full document
10
Approximation by quaternion \((p,q)\) Bernstein polynomials and Voronovskaja type result on compact disk
... Many authors have worked on q-analogue of different operators, for instance, in [9, 23, 25, 26]. Recently in several areas of mathematical sciences the (p, q)-calculus has many interesting applications (see [5, 12, ... See full document
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Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials
... The Bernstein polynomials can also be defined in many different ...many applications of these polynomials have been looked for by many ...the Bernstein polynomials in the area of ... See full document
7
A note on \((p,q)\) Bernstein polynomials and their applications based on \((p,q)\) calculus
... theory, Bernstein polynomials are an important polynomials family because they have very close relations with special numbers and polynomials such as Stir- ling numbers, Bernoulli ... See full document
12
Shape Restricted Nonparametric Regression with Bernstein Polynomials.
... restricted Bernstein poly- nomials. The Bernstein polynomial is appropriate for shape-preserving regression, as it has the optimal shape restriction property among all polynomials (Carnicer and Pena ... See full document
186
Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials
... introducing various degenerate special polynomials and numbers and investigating their properties, some identities related to them and their applications. This research has been carried out by means of ... See full document
11
Estimation of time transformation models with Bernstein polynomials
... Gehan (1965) presented the remission times of 42 Leukemia patients (30 observed fail- ures), half of which were treated with the drug 6-mercaptopurine, and half were controls. The Veterans’ Administration Lung Cancer ... See full document
31
Higher order Hermite Fejér interpolation polynomials with Laguerre type weights
... Jung, HS, Sakai, R: Derivatives of orthonormal polynomials and coefficients of Hermite-Fejér interpolation polynomial with exponential-type weights.. Jung, HS, Sakai, R: Markov-Bernstein[r] ... See full document
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Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications
... and polynomials and also their generalizations, the λ-Stirling numbers of the second kind, the array polynomials and the Eulerian polynomials, related to nonnegative real parameters, have not been ... See full document
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Higher-order Euler-type polynomials and their applications
... Euler-type polynomials and ...Euler-type polynomials and numbers. A special case of higher-order Euler-type polynomials is eigenfunctions for the generalized partial Hecke ... See full document
11
Generating function for q-Eulerian polynomials and their decomposition and applications
... polynomials and numbers) and investigate their properties and some useful functional equations. Using a generating element of the subgroups of G and a generating element of G, we also decompose our generating ... See full document
14
Pointwise Approximation Theorems for Combinations of Bernstein Polynomials with Inner Singularities
... that Bernstein polynomials are very important in studying the characters of smoothness in theory of ...new type of combinations of Bernstein operators are given in ...the ... See full document
9
3. Simultaneous approximation by a linear combination of Bernstein-Durrmeyer type polynomials
... were introduced by Gupta and Maheshwari [8] wherein they studied the approx- imation of functions of bounded variation by these operators. In [6], Gupta and Ispir studied the pointwise convergence and Voronovskaja ... See full document
13
A note on degenerate Bernstein polynomials
... degenerate Bernstein poly- ...degenerate Bernstein polynomials associated with special numbers and polynomials including degenerate Bernoulli poly- nomials and central factorial numbers of the ... See full document
12
Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions
... The Bernstein polynomials have many applications: in approximations of functions, in statistics, in numerical analysis, in p-adic analysis and in the solution of differential equa- ...the ... See full document
13
Identities on the Bernoulli and Genocchi Numbers and Polynomials
... Ryoo, “On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials,” Journal of Inequalities and Applications, vol... Operation[r] ... See full document
10
Approximation by complex Durrmeyer Stancu type operators in compact disks
... complex Bernstein polynomials in compact disks were initially studied by Lorentz ...complex Bernstein poly- nomials in compact disks was obtained by Gal [] Also, in [–] similar results for com- ... See full document
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