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000056290 041__ $$aeng
000056290 100__ $$0(orcid)0000-0001-8331-5160$$aAdell, J.A.$$uUniversidad de Zaragoza
000056290 245__ $$aTowards the best constant in front of the Ditzian-Totik modulus of smoothness
000056290 260__ $$c2016
000056290 5060_ $$aAccess copy available to the general public$$fUnrestricted
000056290 5203_ $$aWe give accurate estimates for the constants (Formula presented.), where I = R or I = 0, 8), Ln is a positive linear operator acting on real functions f defined on the interval I, A(I) is a certain subset of such function, and ¿s 2(f; ·) is the Ditzian-Totik modulus of smoothness of f with weight function s. This is done under the assumption that s is concave and satisfies some simple boundary conditions at the endpoint of I, if any. Two illustrative examples closely connected are discussed, namely, Weierstrass and Szàsz-Mirakyan operators. In the first case, which involves the usual second modulus, we obtain the exact constants when A(R) is the set of convex functions or a suitable set of continuous piecewise linear functions.
000056290 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E64$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P
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000056290 590__ $$a0.791$$b2016
000056290 591__ $$aMATHEMATICS$$b106 / 310 = 0.342$$c2016$$dQ2$$eT2
000056290 591__ $$aMATHEMATICS, APPLIED$$b157 / 255 = 0.616$$c2016$$dQ3$$eT2
000056290 592__ $$a0.807$$b2016
000056290 593__ $$aAnalysis$$c2016$$dQ2
000056290 593__ $$aDiscrete Mathematics and Combinatorics$$c2016$$dQ2
000056290 593__ $$aApplied Mathematics$$c2016$$dQ2
000056290 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000056290 700__ $$0(orcid)0000-0001-6555-4432$$aLekuona, A.$$uUniversidad de Zaragoza
000056290 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera.
000056290 773__ $$g2016, 137 (2016), [17 pp.]$$pJ. inequal. appl.$$tJOURNAL OF INEQUALITIES AND APPLICATIONS$$x1025-5834
000056290 8564_ $$s1759176$$uhttps://zaguan.unizar.es/record/56290/files/texto_completo.pdf$$yVersión publicada
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000056290 951__ $$a2020-02-21-13:10:37
000056290 980__ $$aARTICLE