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A note on degenerate Bernstein polynomials

A note on degenerate Bernstein polynomials

... Bernstein polynomials were first used by Bernstein in a constructive proof for the Stone– Weierstrass approximation theorem (see [2, 6, ...graphics, Bernstein polynomials, restricted to ... See full document

12

A NOTE ON DEGENERATE BERNSTEIN AND DEGENERATE EULER POLYNOMIALS

A NOTE ON DEGENERATE BERNSTEIN AND DEGENERATE EULER POLYNOMIALS

... introduced degenerate Bernstein polynomials and operators and derive some of their properties (see ...the degenerate Euler numbers and polynomials and their connection with the ... See full document

11

A note on \((p,q)\) Bernstein polynomials and their applications based on \((p,q)\) calculus

A note on \((p,q)\) Bernstein polynomials and their applications based on \((p,q)\) calculus

... fundamental properties and results of Bernstein polynomials by using (p,q)-calculus, we give basic definitions and results related to (p, q)-calculus. The main purpose of this study is to investigate a ... See full document

12

A note on the values of weighted q Bernstein polynomials and weighted q Genocchi numbers

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 ... See full document

9

Shape Restricted Nonparametric Regression with Bernstein Polynomials.

Shape Restricted Nonparametric Regression with Bernstein Polynomials.

... the Bernstein polynomial approximates the function at any point of discontinuity by taking the average of two one-sided limits of the function (see Theorems ...proposed Bernstein polynomial estimator can ... See full document

186

Unimodal density estimation using Bernstein polynomials

Unimodal density estimation using Bernstein polynomials

... R. Note that a user can easily obtain an estimate of the mode of the population distribution by inputting the returned estimated density function into a one-dimensional optimization ... See full document

24

Degenerate Changhee Genocchi numbers and polynomials

Degenerate Changhee Genocchi numbers and polynomials

... DS: Degenerate Changhee numbers and polynomials of the second ...A note on nonlinear Changhee differential ...A note on degenerate Stirling polynomials of the second ...A ... See full document

10

Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials

Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials

... for degenerate Euler poly- nomials in connection with degenerate Bernstein polynomials and operators which were recently introduced as degenerate versions of the classical ... See full document

11

A NOTE ON TYPE 2 DEGENERATE MULTI-POLY-BERNOULLI POLYNOMIALS AND NUMBERS

A NOTE ON TYPE 2 DEGENERATE MULTI-POLY-BERNOULLI POLYNOMIALS AND NUMBERS

... the degenerate multi-poly-Genocchi polynomials introduced by Kim et ...the degenerate multi-poly-Bernoulli polynomials, called the type 2 degenerate multi-poly-Bernoulli ... See full document

8

A note on modified degenerate q Daehee polynomials and numbers

A note on modified degenerate q Daehee polynomials and numbers

... q-Daehee polynomials (1.5), the degenerate λ-q-Daehee poly- nomials of the second kind in [12, 33, ...q-Daehee polynomials of the second kind ...q-Daehee polynomials (1.5), and the modified ... See full document

8

A Note on Some Identities of Frobenius Euler Numbers and Polynomials

A Note on Some Identities of Frobenius Euler Numbers and Polynomials

... Kim, “A note on Bernstein polynomials associated with q-Euler numbers and polynomials,” International Journal of Mathematics and Analysis, vol... International Journal of Mathematics and[r] ... See full document

10

A note on degenerate poly Bernoulli numbers and polynomials

A note on degenerate poly Bernoulli numbers and polynomials

... A note on degenerate poly Bernoulli numbers and polynomials Kim and Kim Advances in Difference Equations (2015) 2015 258 DOI 10 1186/s13662 015 0595 3 R E S E A R C H Open Access A note on degenerate[.] ... See full document

8

Ordinary and degenerate Euler numbers and polynomials

Ordinary and degenerate Euler numbers and polynomials

... sum polynomials in terms of Euler polyno- mials and also of Euler polynomials together with Stirling numbers of the second ...and polynomials were derived as well. As to the degenerate ... See full document

11

Representation of \((p,q)\) Bernstein polynomials in terms of \((p,q)\) Jacobi polynomials

Representation of \((p,q)\) Bernstein polynomials in terms of \((p,q)\) Jacobi polynomials

... q)-Bernstein polynomials in terms of suitable (p, q)-orthogonal polynomials, where the connection coefficients are proved to satisfy a three-term recurrence ...q)-Bernstein polynomials ... See full document

7

On q analogs of degenerate Bernoulli polynomials

On q analogs of degenerate Bernoulli polynomials

... The degenerate Bernoulli polynomials were introduced by Carlitz and rediscovered later by Ustiniv under the name of Korobov polynomials of the second kind (see Carlitz in ...of degenerate ... See full document

10

On nonparametric estimation of the latent distribution for ordinal data

On nonparametric estimation of the latent distribution for ordinal data

... We presented a method for estimating the latent density of ordinal data. This method uses a mixture of weighted Beta distributions, known as Bernstein Poly- nomials, combined with information on the latent ... See full document

33

A New Approach to  Bernoulli Numbers and  Bernoulli Polynomials Related to  Bernstein Polynomials

A New Approach to Bernoulli Numbers and Bernoulli Polynomials Related to Bernstein Polynomials

... q-Bernoulli polynomials. We give a new construction of these numbers and polynomials related to the second-kind Stirling numbers and q-Bernstein ...Bernoulli polynomials attached to ... See full document

9

Identities on the Bernoulli and Genocchi Numbers and Polynomials

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

Estimation of time transformation models with Bernstein polynomials

Estimation of time transformation models with Bernstein polynomials

... Time transformation models assume that the survival time is linearly related to covariates through an unknown monotonic transformation function and an error term with known distribution. In this paper the sieve method of ... See full document

31

On Bernstein type polynomials and their applications

On Bernstein type polynomials and their applications

... using Bernstein polynomials range from the design of new fonts to the creation of mechanical components and assemblies for large scale industrial de- sign and ...the Bernstein polynomials, one ... See full document

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