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AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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Rezumat articol ediţie STUDIA UNIVERSITATIS BABEŞ-BOLYAI În partea de jos este prezentat rezumatul articolului selectat. Pentru revenire la cuprinsul ediţiei din care face parte acest articol, se accesează linkul din titlu. Pentru vizualizarea tuturor articolelor din arhivă la care este autor/coautor unul din autorii de mai jos, se accesează linkul din numele autorului. |
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STUDIA MATHEMATICA - Ediţia nr.4 din 2009 | |||||||
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INVERSE THEOREM FOR AN ITERATIVE COMBINATION OF BERNSTEIN-DURRMEYER POLYNOMIALS. Autori: T.A.K. SINHA, VIJAY GUPTA, P.N. AGRAWAL, ASHA RAM GAIROLA. |
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Rezumat: The Bernstein-Durrmeyer polynomial ![]() ![]() operators is, at best, O(n−1) however smooth the function may be. In order to improve the rate of approximation we consider an iterative combination Tn,k(f; t) of the operators Mn(f; t). This technique was given by Micchelli [9] who first used it to improve the order of approximation by Bernstein polynomials Bn(f; t). In the paper [1] some direct theorems in ordinary and simultaneous approximation for the operators Tn,k(f; t) in the uniform norm, have been established. The paper [10] is a study of some direct results in the Lp− approximation by the operators Tn,k(f; t). The object of the present paper is to study the corresponding inverse theorem in Lp− approximation by the operators Tn,k(f; t). Key words and phrases. Inverse theorem, Lp− approximation, Steklov means. |
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