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Approximation by rational operators in L p spaces
Author(s) -
Yu Dansheng,
Zhou Songping
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610812
Subject(s) - mathematics , converse , pure mathematics , type (biology) , equivalence (formal languages) , smoothness , mathematical analysis , algebra over a field , geometry , ecology , biology
The present paper introduces a kind of Kantorovich type Shepard operators. Complete results including direct and converse results, equivalence results are established. As Della Vecchia and Mastroianni ([4], [7]) did, our results involve a weighted modulus of smoothness related to step‐functions φ ( x ) vanishing algebraically at the endpoints ±1 (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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