000164992 001__ 164992
000164992 005__ 20251204150238.0
000164992 0247_ $$2doi$$a10.1002/mma.70341
000164992 0248_ $$2sideral$$a146588
000164992 037__ $$aART-2025-146588
000164992 041__ $$aeng
000164992 100__ $$0(orcid)0000-0001-8331-5160$$aAdell, J.A.$$uUniversidad de Zaragoza
000164992 245__ $$aApproximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach
000164992 260__ $$c2025
000164992 5060_ $$aAccess copy available to the general public$$fUnrestricted
000164992 5203_ $$aWe obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular sequences of operators attaining them. When applied to functions of bounded variation or absolutely continuous functions having derivatives of bounded variation, these upper bounds are better and simpler to compute than the usual total variation bounds. The particular case of the Bernstein polynomials is thoroughly discussed. We use a probabilistic approach based on representations of such operators in terms of expectations of random variables.
000164992 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E48-23R
000164992 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttps://creativecommons.org/licenses/by-nc/4.0/deed.es
000164992 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000164992 700__ $$aGarrancho, P.
000164992 700__ $$aMartínez-Sánchez, F.J.
000164992 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera.
000164992 773__ $$g(2025), [14 pp.]$$pMath. methods appl. sci.$$tMathematical Methods in the Applied Sciences$$x0170-4214
000164992 8564_ $$s1090102$$uhttps://zaguan.unizar.es/record/164992/files/texto_completo.pdf$$yVersión publicada
000164992 8564_ $$s1716512$$uhttps://zaguan.unizar.es/record/164992/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000164992 909CO $$ooai:zaguan.unizar.es:164992$$particulos$$pdriver
000164992 951__ $$a2025-12-04-14:38:54
000164992 980__ $$aARTICLE