The celebrated and famous Weierstrass approximation theorem characterizes the set of
continuous functions on a compact interval via uniform approximation by algebraic …

In this paper, we consider a novel family of the mixed-type hypergeometric Bernoulli–
Gegenbauer polynomials. This family represents a fascinating fusion between two distinct …

We consider the novel family of the mixed-type hypergeometric Bernoulli-Gegenbauer
polynomials. This family represents a fascinating fusion between two distinct categories of …

Abstract Let {Q_n,λ^(α)\}_n≥0 be the sequence of monic orthogonal polynomials with
respect the Gegenbauer-Sobolev inner product ⟨ f, g ⟩ s:=-1^ 1 f (x) g (x)(1-x^ 2)^ α-1 2 dx+ …

En este trabajo, estudiamos problemas asociados a desigualdades de tipo Markov-
Bernstein con normas Sobolev con peso sobre el espacio de los polinomios con …

In this paper we study the set of ℊ‐valued functions which can be approximated by ℊ‐
valued continuous functions in the norm L ℊ∞(I, w), where I⊂ ℝ is a compact interval, ℊ is a …

This paper we provides an alternative proof of Hurewicz theorem when the topological
space X is a CW-complex. Indeed, we show that if X o⊆ X 1⊆… X ni⊆ X n= X is the CW …

El celebrado y famoso teorema de aproximación de Weierstrass caracteriza al conjunto de
las funciones continuas sobre un intervalo compacto vıa aproximación uniforme por …

La teorıa de aproximación, es el área del análisis especializada en describir funciones
dadas, en términos de otras funciones más simples de calcular. La descripción de funciones …

In this paper we study the set of functions $\GG $-valued which can be approximated by
$\GG $-valued continuous functions in the norm $ L^\infty_ {\GG}(I, w) $, where $ I $ is a …