Best approximation of functions in generalized Hölder class
Here, for the first time, error estimation of the functions g ∈ H z ( w ) and g ˜ ∈ H z ( w ) classes using T C 1 method of F. S. (Fourier Series) and C. F. S. (Conjugate Fourier Series), respectively, are determined. The results of (Dhakal in Int. Math. Forum 5(35):1729–1735, 2010 ; Dhakal in Int....
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Veröffentlicht in: | Journal of inequalities and applications 2018, Vol.2018 (1), p.276-15, Article 276 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | Here, for the first time, error estimation of the functions
g
∈
H
z
(
w
)
and
g
˜
∈
H
z
(
w
)
classes using
T
C
1
method of F. S. (Fourier Series) and C. F. S. (Conjugate Fourier Series), respectively, are determined. The results of (Dhakal in Int. Math. Forum 5(35):1729–1735,
2010
; Dhakal in Int. J. Eng. Technol. 2(3):1–15,
2013
; Kushwaha and Dhakal in Nepal J. Sci. Technol. 14(2):117–122,
2013
) become the particular cases of our Theorem
2.1
. Some important corollaries are also deduced from our main theorems. |
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ISSN: | 1025-5834 1029-242X 1029-242X |
DOI: | 10.1186/s13660-018-1864-y |