Matches in SemOpenAlex for { <https://semopenalex.org/work/W1979393640> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W1979393640 endingPage "1450064" @default.
- W1979393640 startingPage "1450064" @default.
- W1979393640 abstract "The study of approximation properties of the periodic functions in L p (p ≥ 1)-spaces, in general and in Lipschitz classes Lip α, Lip (α, p), Lip (ξ(t), p) and weighted Lipschitz class W(L p , ω(t), β), in particular, through trigonometric Fourier series, although is an old problem and known as Fourier approximation in the existing literature, has been of a growing interests over the last four decades due to its application in filters and signals [E. Z. Psarakis and G. V. Moustakides, An L 2 -based method for the design of 1-D zero phase FIR digital filters, IEEE Trans. Circuits Systems I Fundam. Theory Appl., 44(7) (1997) 551–601]. The most common methods used for the determination of the degree of approximation of periodic functions are based on the minimization of the L p -norm of f(x) - T n (x), where T n (x) is a trigonometric polynomial of degree n and called approximant of the function f. In this paper, we discuss the approximation properties of the periodic functions in the Lipschitz classes Lip α and W(L p , ω(t), β), p ≥ 1 by a trigonometric polynomial generated by the product matrix means of the Fourier series associated with the function. The degree of approximation obtained in our theorems of this paper is free from p and sharper than earlier results." @default.
- W1979393640 created "2016-06-24" @default.
- W1979393640 creator A5087460044 @default.
- W1979393640 creator A5091040182 @default.
- W1979393640 date "2014-12-01" @default.
- W1979393640 modified "2023-09-24" @default.
- W1979393640 title "Trigonometric approximation of functions belonging to certain Lipschitz classes by C1 ⋅ T operator" @default.
- W1979393640 cites W1509196818 @default.
- W1979393640 cites W1976644580 @default.
- W1979393640 cites W1988120152 @default.
- W1979393640 cites W1996937054 @default.
- W1979393640 cites W2002092668 @default.
- W1979393640 cites W2005421748 @default.
- W1979393640 cites W2048966576 @default.
- W1979393640 cites W2077000698 @default.
- W1979393640 cites W2332468457 @default.
- W1979393640 cites W4243202534 @default.
- W1979393640 cites W50859038 @default.
- W1979393640 cites W87338862 @default.
- W1979393640 doi "https://doi.org/10.1142/s1793557114500648" @default.
- W1979393640 hasPublicationYear "2014" @default.
- W1979393640 type Work @default.
- W1979393640 sameAs 1979393640 @default.
- W1979393640 citedByCount "4" @default.
- W1979393640 countsByYear W19793936402016 @default.
- W1979393640 countsByYear W19793936402019 @default.
- W1979393640 countsByYear W19793936402022 @default.
- W1979393640 countsByYear W19793936402023 @default.
- W1979393640 crossrefType "journal-article" @default.
- W1979393640 hasAuthorship W1979393640A5087460044 @default.
- W1979393640 hasAuthorship W1979393640A5091040182 @default.
- W1979393640 hasConcept C102519508 @default.
- W1979393640 hasConcept C114614502 @default.
- W1979393640 hasConcept C117148685 @default.
- W1979393640 hasConcept C118615104 @default.
- W1979393640 hasConcept C121332964 @default.
- W1979393640 hasConcept C134306372 @default.
- W1979393640 hasConcept C14036430 @default.
- W1979393640 hasConcept C143724316 @default.
- W1979393640 hasConcept C151730666 @default.
- W1979393640 hasConcept C156760230 @default.
- W1979393640 hasConcept C202444582 @default.
- W1979393640 hasConcept C207864730 @default.
- W1979393640 hasConcept C22324862 @default.
- W1979393640 hasConcept C24890656 @default.
- W1979393640 hasConcept C2775997480 @default.
- W1979393640 hasConcept C29001434 @default.
- W1979393640 hasConcept C33923547 @default.
- W1979393640 hasConcept C78458016 @default.
- W1979393640 hasConcept C86803240 @default.
- W1979393640 hasConcept C90119067 @default.
- W1979393640 hasConcept C98644592 @default.
- W1979393640 hasConceptScore W1979393640C102519508 @default.
- W1979393640 hasConceptScore W1979393640C114614502 @default.
- W1979393640 hasConceptScore W1979393640C117148685 @default.
- W1979393640 hasConceptScore W1979393640C118615104 @default.
- W1979393640 hasConceptScore W1979393640C121332964 @default.
- W1979393640 hasConceptScore W1979393640C134306372 @default.
- W1979393640 hasConceptScore W1979393640C14036430 @default.
- W1979393640 hasConceptScore W1979393640C143724316 @default.
- W1979393640 hasConceptScore W1979393640C151730666 @default.
- W1979393640 hasConceptScore W1979393640C156760230 @default.
- W1979393640 hasConceptScore W1979393640C202444582 @default.
- W1979393640 hasConceptScore W1979393640C207864730 @default.
- W1979393640 hasConceptScore W1979393640C22324862 @default.
- W1979393640 hasConceptScore W1979393640C24890656 @default.
- W1979393640 hasConceptScore W1979393640C2775997480 @default.
- W1979393640 hasConceptScore W1979393640C29001434 @default.
- W1979393640 hasConceptScore W1979393640C33923547 @default.
- W1979393640 hasConceptScore W1979393640C78458016 @default.
- W1979393640 hasConceptScore W1979393640C86803240 @default.
- W1979393640 hasConceptScore W1979393640C90119067 @default.
- W1979393640 hasConceptScore W1979393640C98644592 @default.
- W1979393640 hasIssue "04" @default.
- W1979393640 hasLocation W19793936401 @default.
- W1979393640 hasOpenAccess W1979393640 @default.
- W1979393640 hasPrimaryLocation W19793936401 @default.
- W1979393640 hasRelatedWork W1582875378 @default.
- W1979393640 hasRelatedWork W160994235 @default.
- W1979393640 hasRelatedWork W1979393640 @default.
- W1979393640 hasRelatedWork W1996733370 @default.
- W1979393640 hasRelatedWork W1997933884 @default.
- W1979393640 hasRelatedWork W2388003305 @default.
- W1979393640 hasRelatedWork W3022207914 @default.
- W1979393640 hasRelatedWork W4221128723 @default.
- W1979393640 hasRelatedWork W4254083318 @default.
- W1979393640 hasRelatedWork W842151764 @default.
- W1979393640 hasVolume "07" @default.
- W1979393640 isParatext "false" @default.
- W1979393640 isRetracted "false" @default.
- W1979393640 magId "1979393640" @default.
- W1979393640 workType "article" @default.