Bernstein polynomials
A note on degenerate Bernstein polynomials
... degenerate Bernstein polynomials have been introduced by Kim and ...degenerate Bernstein polynomials associated with special numbers and polynomials including degenerate ...
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Normalized Bernstein polynomials in solving space time fractional diffusion equation
... Bernstein polynomials. For the space domain, we use a set of normalized Bernstein polynomials and for the time domain, which is a semi-infinite domain, we offer an algebraic map to make the ...
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A solution for Volterra Integral Equations of the First Kind Based on Bernstein Polynomials
... used Bernstein polynomials in approximation techniques [19], Shahsavaran em- ployed Block Pulse functions and Taylor Expan- sion method ...Taylor polynomials were also used by Bellour and Rawashdeh ...
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An approximate method for solving fractional TBVP with state delay by Bernstein polynomials
... In this paper, we introduce the TBVP for the fractional optimal control problem with con- stant delay on trajectory. In order to solve the TBVP we have extended the method used in [], then using Bernstein ...
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Analysis and construction of a family of refinable functions based on generalized Bernstein polynomials
... During the last decades, the study of refinable functions has attracted considerable at- tention. This will be followed by a description of the development of refinable func- tions. Initially, B-splines appeared as a ...
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On the approximation of analytic functions by the $q$-Bernstein polynomials in the case $q>1$
... q-Bernstein polynomials have attracted a lot of interest and have been studied from different angles along with some generalizations and modifications by a number of ...q-Bernstein polynomials ...
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Some identities on the weighted q Euler numbers and q Bernstein polynomials
... Recently, Ryoo introduced the weighted q -Euler numbers and polynomials which are a slightly different Kim’s weighted q -Euler numbers and polynomials(see C. S. Ryoo, A note on the weighted q-Euler numbers ...
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Bayesian Noninferiority Testing and Nonparametric Survival Regression using Bernstein Polynomials.
... Since its introduction the reversible jump MCMC approach has been studied in many ar- eas especially in finite mixture models (Richardson and Green, 1997) and variable selection problems (Sillanpana and Arjas, 1998). ...
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The computation of the degree of an approximate greatest common divisor of two Bernstein polynomials
... This paper considers the computation of the degree t of an approximate greatest common divisor d(y) of two Bernstein polynomials f (y) and g(y), which are of degrees m and n respectively. The value of t is ...
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The twisted (h, q) Genocchi numbers and polynomials with weight α and q bernstein polynomials with weight α
... In this article, we investigate some properties for the twisted ( h, q )-Genocchi num- bers and polynomials with weight a . By using these properties, we give some interest- ing identities on the twisted ( h, q ...
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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 ...of Bernstein operators are given in ...the Bernstein-Markov inequalities with step-weight ...
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Shape restricted nonparametric regression based on multivariate Bernstein polynomials
... bivariate Bernstein polynomials to approximate the shape-restricted regression ...The Bernstein polynomial is appro- priate for shape-preserving regression, as it has the optimal shape restriction ...
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A note on the values of weighted q Bernstein polynomials and weighted q Genocchi numbers
... q-Bernstein polynomials and q-Genocchi polynomials have attracted a lot of interest and have been studied from different points of view along with some gen- eralizations and modifications by a number ...
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Some new identities on the twisted carlitz's q bernoulli numbers and q bernstein polynomials
... In this paper, we consider the twisted Carlitz’s q -Bernoulli numbers using p -adic q - integral on ℤ p . From the construction of the twisted Carlitz’s q -Bernoulli numbers, we investigate some properties for the ...
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The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass
... the Bernstein polynomials basis is implemented to give the approximate solution of a parabolic partial differential equation with boundary integral ...of Bernstein polynomials, and the ...
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Boundary Characteristic Bernstein Polynomials Based Solution for Free Vibration of Euler Nanobeams
... orthogonal Bernstein polynomials, it starts converging from 10th ...orthogonal Bernstein polynomials are a winner by one term in this particular ...the polynomials needs similar but as ...
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A note on \((p,q)\) Bernstein polynomials and their applications based on \((p,q)\) calculus
... and polynomials and q-Bernstein polynomials (see [17] and ...q-Bernstein polynomials and showed some of their representations by using the fermionic p-adic integral ...and ...
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On the Derivatives of Bernstein Polynomials: An Application for the Solution of High Even-Order Differential Equations
... on Bernstein polynomials, the question arises of how to describe their properties in terms of their coefficients when they are given in the Bernstein ...
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Generalized Tschebyscheff of the Second Kind and Bernstein Polynomials Change of Bases
... on Bernstein polynomials, they are known for their geometric and analytical properties, see [2] for more ...of Bernstein polynomials make them important for the development of Bézier curves ...
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Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials
... degenerate Bernstein polynomials and operators which were recently introduced as degenerate versions of the classical Bernstein polynomials and op- ...
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