Inequalities for the Extended Best Polynomial Approximation Operator in Orlicz Spaces

Autor: Felipe Zó, Sergio Favier, Sonia Ester Acinas

Publikováno v: Acta Mathematica Sinica, English Series. 35:185-203

In this paper we pursue the study of the best approximation operator extended from L^Φ to L^φ, where φ denotes the derivative of the function Φ. We get pointwise convergence for the coefficients of the extended best approximation polynomials for

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d715031be986c37d5a477268756b2546
https://doi.org/10.1007/s10114-018-6483-5

Multivalued Extended BestΦ-Polynomial Approximation Operator

Autor: Sonia Ester Acinas, Sergio Favier

Publikováno v: Numerical Functional Analysis and Optimization. 37:1339-1353

In this article, we consider the best multivalued polynomial approximation operator, defined in an Orlicz Space LΦ(B), and its extension to Lφ(B), where φ is the derivative of Φ which is not an N-function. Thus, the extension of the best polynomi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e6810e4e0109b6341c71898a1dde4995
https://doi.org/10.1080/01630563.2016.1216445

Some existence results on periodic solutions of Euler–Lagrange equations in an Orlicz–Sobolev space setting

Autor: L. Buri, Sonia Ester Acinas, Erica L. Schwindt, Fernando Mazzone, Graciela Olga Giubergia

Publikováno v: Nonlinear Analysis: Theory, Methods and Applications
Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2015, 125, pp.681-698. ⟨10.1016/j.na.2015.06.013⟩

In this paper we consider the problem of finding periodic solutions of certain Euler-Lagrange equations. We employ the direct method of the calculus of variations, i.e. we obtain solutions minimizing certain functional I. We give conditions which ens

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed4dd8f3727cf70e183bc4de968fb555
https://hal.archives-ouvertes.fr/hal-01171091/document