000124042 001__ 124042
000124042 005__ 20241125101130.0
000124042 0247_ $$2doi$$a10.1007/s13398-022-01379-2
000124042 0248_ $$2sideral$$a132605
000124042 037__ $$aART-2023-132605
000124042 041__ $$aeng
000124042 100__ $$0(orcid)0000-0001-8331-5160$$aAdell, José A.$$uUniversidad de Zaragoza
000124042 245__ $$aEstimates in direct inequalities for the Szász–Mirakyan operator
000124042 260__ $$c2023
000124042 5060_ $$aAccess copy available to the general public$$fUnrestricted
000124042 5203_ $$aThis paper deals with the approximation of continuous functions by the classical Szász–Mirakyan operator. We give new bounds for the constant in front of the second order Ditzian–Totik modulus of smoothness in direct inequalities. Asymptotic and non asymptotic results are stated. We use both analytical and probabilistic methods, the latter involving the representation of the operators in terms of the standard Poisson process. A smoothing technique based on a modification of the Steklov means is also applied.
000124042 536__ $$9info:eu-repo/grantAgreement/ES/MCIU/PGC2018-097621-B-I00
000124042 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000124042 590__ $$a1.8$$b2023
000124042 592__ $$a0.906$$b2023
000124042 591__ $$aMATHEMATICS$$b39 / 490 = 0.08$$c2023$$dQ1$$eT1
000124042 593__ $$aAlgebra and Number Theory$$c2023$$dQ1
000124042 593__ $$aAnalysis$$c2023$$dQ1
000124042 593__ $$aGeometry and Topology$$c2023$$dQ1
000124042 593__ $$aApplied Mathematics$$c2023$$dQ1
000124042 593__ $$aComputational Mathematics$$c2023$$dQ2
000124042 594__ $$a4.7$$b2023
000124042 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000124042 700__ $$aCárdenas Morales, Daniel
000124042 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera.
000124042 773__ $$g117 (2023), 43 [12 pp]$$pRev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat.$$tRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas$$x1578-7303
000124042 8564_ $$s287634$$uhttps://zaguan.unizar.es/record/124042/files/texto_completo.pdf$$yVersión publicada
000124042 8564_ $$s1042762$$uhttps://zaguan.unizar.es/record/124042/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000124042 909CO $$ooai:zaguan.unizar.es:124042$$particulos$$pdriver
000124042 951__ $$a2024-11-22-11:58:43
000124042 980__ $$aARTICLE