On approximation in generalized Zygmund class

Nigam, Hare Krishna

doi:10.1515/dema-2019-0022

Artykuł - szczegóły

Tytuł artykułu

On approximation in generalized Zygmund class

Autorzy

Nigam Hare Krishna

Wybrane pełne teksty z tego czasopisma

http://www.degruyter.com/view/j/dema

Identyfikatory

DOI

10.1515/dema-2019-0022

Warianty tytułu

Języki publikacji

Abstrakty

Here, we estimate the degree of approximation of a conjugate function ğ and a derived conjugate function ğ′, of a 2 π-periodic function g ∈ Zλr, r ≥ 1, using Hausdorff means of CFS (conjugate Fourier series) and CDFS (conjugate derived Fourier series) respectively. Our main theorems generalize four previously known results. Some important corollaries are also deduced from our main theorems. We also partially review the earlier work of the authors in respect of order of the Euler-Hausdorff product method.

Słowa kluczowe

generalized Zygmund (Zλr, r ≥ 1) class of function error approximation CFS conjugate Fourier series CDFS conjugate derived Fourier series generalized Minkowski’s inequality Hausdorff means

aproksymacja błąd aproksymacji przybliżenie szeregi Fouriera sprzężone szeregi Fouriera nierówność Minkowskiego

Wydawca

De Gruyter

Czasopismo

Demonstratio Mathematica

Rocznik

2019

Tom

Vol. 52, nr 1

Strony

370--387

Opis fizyczny

Bibliogr. 43 poz.

Twórcy

autor

Nigam Hare Krishna

hknigam@cusb.ac.in

Department of Mathematics, Central University of South Bihar, Gaya, Bihar, India

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-e3c6c492-07f9-4afa-ab48-f0e92b1d8d4a