Cover Image

An Algebraic Proof of Weierstrass's Approximation Theorem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Barrios, José M. González, Contreras-Cristán, Alberto, Romero-Mares, Patricia I.
Format:	Preprint
Published:	2025
Subjects:	Classical Analysis and ODEs Probability 26A99, 26C05, 41A10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the approximation properties of Stieltjes polynomials
by: Cora, Víctor, et al.
Published: (2025)

Revisiting the identification problem of a function by the ratio of Laplace transforms of powers
by: Hu, Dongdong, et al.
Published: (2023)

On Hölder continuity and $p^\mathrm{th}$-variation function of Weierstrass-type functions
by: Barczy, Matyas, et al.
Published: (2024)

Discretization Theorems for Entire Functions of Exponential Type
by: Ganzburg, Michael I.
Published: (2025)

Certain Inequalities for the generalized polar derivative of a polynomial
by: Rathe, N. A., et al.
Published: (2025)

Characterizations of fractional operators via integral transforms
by: Labora, Daniel Cao, et al.
Published: (2026)

On the monotonicity of left and right Riemann sums
by: Bouthat, Ludovick
Published: (2023)

An affirmative answer to an open problem on Ramanujan's asymptotic formula of zero-balanced hypergeometric function
by: Wang, Miao-kun, et al.
Published: (2025)

Weierstrass functions and a generalization of the additive-multiplicative Weierstrass inequality
by: Wiśniewska, Halina
Published: (2025)

A convexity-type functional inequality with infinite convex combinations
by: Barczy, Matyas, et al.
Published: (2025)

Comonotone approximation and interpolation by entire functions II
by: Burke, Maxim R.
Published: (2025)

Resolvent and Gronwall inequalities and fixed points of evolution operators
by: Kalinin, Alexander
Published: (2024)

Average Nikolskii factors for random diffusion polynomials on closed Riemannian manifolds
by: Ling, Yun, et al.
Published: (2025)

Rough Paths above Weierstrass Functions
by: Cellarosi, Francesco, et al.
Published: (2023)

Gruss Type Discrete Inequalities in Normed Linear Spaces, Revisited
by: Dragomir, Sever Silvestru
Published: (2003)

Some Companions of Ostrowski's Inequality for Absolutely Continuous Functions and Applications
by: Dragomir, Sever Silvestru
Published: (2003)

Gruss Type Discrete Inequalities in Inner Product Spaces, Revisited
by: Dragomir, Sever Silvestru
Published: (2003)

On bounds for ratios of contiguous hypergeometric functions
by: Segura, Javier
Published: (2024)

Repeated integrals of increasing functions
by: Burke, Maxim R., et al.
Published: (2025)

Absolutely monotonic functions related to the asymptotic formula for the complete elliptic integral of the first kind
by: Zhao, Tiehong, et al.
Published: (2024)

A note on the problem of straight-line interpolation by ridge functions
by: Akhmedov, Azer, et al.
Published: (2024)

$\mathbf{C^2}$-Lusin approximation of convex functions: one variable case
by: Goldstein, Paweł, et al.
Published: (2025)

Higher order pointwise differential for distribution
by: Liu, Yu-Tong
Published: (2024)

Zeros of Multiple Orthogonal Polynomials: Location and Interlacing
by: Kozhan, Rostyslav, et al.
Published: (2025)

Chebyshev polynomials corresponding to a vanishing weight
by: Bergman, Alex, et al.
Published: (2023)

Some Ostrowski Type Inequalites via Cauchy's Mean Value Theorem
by: Dragomir, Sever Silvestru
Published: (2003)

Characterization of rectifiability via Lusin type approximation
by: Marchese, Andrea, et al.
Published: (2021)

On mixed partial derivatives of modified Bernstein-Stancu polynomials for functions of several variables
by: Mazutskiy, N. M., et al.
Published: (2022)

When Are There Continuous Choices for the Mean Value Abscissa?
by: Lowry-Duda, David, et al.
Published: (2019)

Roots, trace, and extendability of flat nonnegative smooth functions
by: Jiang, Fushuai
Published: (2023)

Chebyshev approximation of $x^m (-\log x)^l$ in the interval $0\le x \le 1$
by: Mathar, Richard J.
Published: (2024)

On some examples and counterexamples about weighted Lagrange interpolation with Exponential and Hermite weights
by: Szokol, Patricia
Published: (2025)

Strong Converse Inequalities for Bernstein Polynomials with Explicit Asymptotic Constants
by: Adell, José A., et al.
Published: (2024)

Error inequalities for an optimal 3-point quadrature formula of closed type
by: Ujevic, Nenad
Published: (2003)

Homeomorphism theorem for sums of translates on the real axis
by: Nikiforova, Tatiana M.
Published: (2025)

Average Nikolskii factors for random trigonometric polynomials
by: Ling, Yun, et al.
Published: (2025)

Norm Estimates for the Difference Between Bochner's Integral and the Convex Combination of Function's Values
by: Cerone, P., et al.
Published: (2003)

Higher order H{ö}lder approximation by solutions of second order elliptic equations
by: Rozenblum, Grigori, et al.
Published: (2026)

New Inequalities of Gruss Type for the Stieltjes Integral and Applications
by: Dragomir, Sever Silvestru
Published: (2003)

On the weak Sard property
by: Dribas, Roman V., et al.
Published: (2025)